Steven Kivelson
Prabhu Goel Family Professor
Physics
Bio
RESEARCH INTERESTS:
How do the interactions between the vastly many electrons in solids produce the emergent phenomena we recognize as the macroscopic behavior of the materials we encounter in everyday life, and in the exotic materials and devices we engineer in the laboratory?
The central source of intellectual vitality and practical importance of condensed matter physics is the richness and diversity of behaviors exhibited by strongly interacting systems with many degrees of freedom, ranging from the collective behavior of neurons in the brain to the collective condensation of Cooper pairs that produce the macroscopic quantum phenomena associated with superconducting order.
The main thrust of the research carried out by Professor Kivelson is the search for theoretical characterization of qualitatively new behaviors of interacting electrons (i.e., new states of matter)as well as new regimes of parameters in which familiar states of matter behave in new and different ways. In particular, he seeks to explore; qualitatively...the relation between the microscopic interactions between electrons and the effective parameters that control the macroscopic behavior of solids.
Current areas of Focus:
- theory of quantum liquid crystalline phases of highly correlated electronic fluids
- intertwined orders and the theory of high temperature superconductivity
- theory of spin liquids and other fractionalized quantum phases
- theory of the glass transition in super cool liquids
Academic Appointments
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Professor, Physics
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Principal Investigator, Stanford Institute for Materials and Energy Sciences
Administrative Appointments
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Prabhu Goel Family Professor of Physics, Stanford University (2012 - Present)
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Professor, Physics, Stanford University (2004 - Present)
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Editor in Chief, Nature Partner Journal Quantum Materials (2016 - Present)
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Professor, Physics and Astronomy, UCLA (1988 - 2004)
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Professor of Physics, State University of New York at Stony Brook (1988 - 1989)
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Associate Professor of Physics, State University of New York at Stony Brook (1986 - 1988)
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Assistant Professor of Physics, State University of New York (1982 - 1986)
Professional Education
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Ph.D., Harvard University, Physics (1979)
Current Research and Scholarly Interests
Past Graduate Students:
Assa Auerbach - Professor of Physics, Technion University
Weikang Wu - deceased.
Shoucheng Zhang (final year) - deceased.
Shivaji Sondhi - Wykham Professor of Physics, Oxford University
Markku Salkola - Facebook, Menlo Park
Vadim Oganesyan - Professor of Physics CUNY
Kyrill Shtengle - Professor of Physics, UC Riverside
Oron Zachar
Zohar Nussinov - Professor of Physics, Washington University
Erica W. Carlson - Professor of Physics, Purdue University
Edward Sleva
John Robertson - Citadel, Austin
Wei-Feng Tsai
Ian Bindloss
Paul Oreto - Head of Machine Learning at Cantor Fitzgerald, New York
Erez Berg - Professor of Physics, Weizmann Institute
Hong Yao - Professor of Physics, Tsinghua University
Li Liu
George Karakonstantakis
Sam Lederer
Laimei Nie - Assistant Professor of Physics, Purdue University
Ilya Esterlis - Assistant Professor, University of Wisconsin, Madison
John Dodaro
Chao Wang - Citadel LLC, New York
Yue Yu - Post Doctoral Fellow, University of Wisconsin, Milwaukee
Yuval Gannot - Software Engineer, Google, Mtn. View
Kyung-Su KIm - Post Doctoral Fellow, A.J. Leggett Institute, UIUC
Zhaoyu Han - Post Doctoral Fellow, Harvard Univeristy
Andrew Yuan - Post Doctoral Fellow, University of Maryland
Past Post Docs:
Douglas Stone - Professor of Physics, Yale University
Gergeley Zimanyi - Professor of Physics, UC Davis
Dror Orgad - Professor of Physics, Tel Aviv University
Hae-Young Kee - Professor of Physics, University of Toronto
Oskar Vafek - Professor of Physics, University of Florida
Eun-Ah Kim - Professor of Physics, Cornell University
Srinivas Raghu - Professor of Physics, Stanford University
Maisam Barkeshli - Professor of Physics, University of Maryland
Michael Mulligan - Associate Professor of Physics, UC Riverside
Pavan Hosur - Professor of Physics, University of Houston
Yi Zhang - Professor of Physics, Tsinghua University
Abulhassan Vaezi - Professor of Physics, Sharifi University
Tomas Bzdusek - Professor of Physics, University of Zurich
Jingyuan Chen - Assistant Professor of Physics, Tsinghua University
Yoni Schattner - Research Scientist, Quantum Computing at the Amazon Center for
Quantum Computing at Caltech, Pasadena
John Sous - Assistant Professor of Chemistry, Yale University
Chaitanya Murthy - Assistant Professor, University of Rochester
Past Undergraduate Research Assistants:
Kevin S. Wang - Graduate student, Princeton University
Jeffrey Chang - Graduate student, Harvard University
Vijay Nathan Josephs - Undergraduate, Stanford University
Unofficial Past Students and Post Docs:
(i.e. where I believe I played the corresponding mentoring role, but the connection
was unofficial - a shameless attempt to claim partial credit):
Shoucheng Zhang - (did his final year of PhD work, the part in CMT, under my direction and
worked with me extensively while a post doc)
Jainendra Jain - (did the final portion of his PhD work, the part relevant to the quantum
Hall effect, under my guidance and worked with me extensively while a post doc)
Daniel Rokhsar - (No official connection at all, but did significant portion of both his
graduate and post-doctoral research in collaboration with me.)
Akash Maharaj - (was a student of Srinivas Raghu with whom he worked extensively, but
he also did a significant portion of his graduate research in collaboration with me.)
2024-25 Courses
- Theoretical Characterizing & Verifying Distinct Ground-State Phases of Interacting Quantum Systems
PHYSICS 460 (Aut) - Thermodynamics, Kinetic Theory, and Statistical Mechanics II
PHYSICS 171 (Spr) -
Independent Studies (2)
- Curricular Practical Training
PHYSICS 291 (Aut, Win, Spr, Sum) - Research
PHYSICS 490 (Aut, Win, Spr, Sum)
- Curricular Practical Training
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Prior Year Courses
2023-24 Courses
- Condensed Matter Seminar
APPPHYS 470 (Aut, Win, Spr) - Graduate Quantum Mechanics I
PHYSICS 230 (Win) - Mathematical Methods for Physics
PHYSICS 112 (Spr)
2021-22 Courses
- Mathematical Methods for Physics
PHYSICS 112 (Win) - Partial Differential Equations of Mathematical Physics
PHYSICS 111 (Aut)
- Condensed Matter Seminar
Stanford Advisees
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Doctoral Dissertation Reader (AC)
Arthur Campello, Ben Foutty, Yuntian Li, David Saykin, Praveen Sriram, Nicole Ticea, Jin Gene Wong, Kaan Yay -
Doctoral Dissertation Advisor (AC)
Vladimir Calvera, Akshat Pandey -
Doctoral Dissertation Co-Advisor (AC)
Sijia Zhao
All Publications
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"Quantum Geometric Nesting" and Solvable Model Flat-Band Systems
PHYSICAL REVIEW X
2024; 14 (4)
View details for DOI 10.1103/PhysRevX.14.041004
View details for Web of Science ID 001331753400001
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Anomalous Landau Level Gaps Near Magnetic Transitions in Monolayer WSe2
PHYSICAL REVIEW X
2024; 14 (3)
View details for DOI 10.1103/PhysRevX.14.031018
View details for Web of Science ID 001284102100001
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Anomalous Superfluid Density in a Disordered Charge-Density-Wave Material: Pd-Intercalated ErTe_{3}.
Physical review letters
2024; 133 (3): 036001
Abstract
We image local superfluid density in single crystals of Pd-intercalated ErTe_{3} below the superconducting critical temperature T_{c}, well below the onset temperature T_{CDW} of (disordered) charge-density-wave order. We find no detectable inhomogeneities on micron scales. We observe a rapid increase of the superfluid density below T_{c}, deviating from the behavior expected in a conventional Bardeen-Cooper-Schrieffer superconductor, and show that the temperature dependence is qualitatively consistent with a combination of quantum and thermal phase fluctuations.
View details for DOI 10.1103/PhysRevLett.133.036001
View details for PubMedID 39094125
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Anomalous Superfluid Density in a Disordered Charge-Density-Wave Material: Pd-Intercalated ErTe<sub>3</sub>
PHYSICAL REVIEW LETTERS
2024; 133 (3)
View details for DOI 10.1103/PhysRevLett.133.036001
View details for Web of Science ID 001272200300002
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Nematic Metal in a Multivalley Electron Gas: Variational Monte Carlo Analysis and Application to AlAs.
Physical review letters
2024; 132 (26): 266501
Abstract
The two-dimensional electron gas is of fundamental importance in quantum many-body physics. We study a minimal extension of this model with C_{4} (as opposed to full rotational) symmetry and an electronic dispersion with two valleys with anisotropic effective masses. Electrons in our model interact via Coulomb repulsion, screened by distant metallic gates. Using variational Monte Carlo simulations, we find a broad intermediate range of densities with a metallic valley-polarized, spin-unpolarized ground state. Our results are of direct relevance to the recently discovered "nematic" state in AlAs quantum wells. For the effective mass anisotropy relevant to this system, m_{x}/m_{y}≈5.2, we obtain a transition from an anisotropic metal to a valley-polarized metal at r_{s}≈12 (where r_{s} is the dimensionless Wigner-Seitz radius). At still lower densities, we find a (possibly metastable) valley and spin-polarized state with a reduced electronic anisotropy.
View details for DOI 10.1103/PhysRevLett.132.266501
View details for PubMedID 38996276
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Nematic Metal in a Multivalley Electron Gas: Variational Monte Carlo Analysis and Application to AlAs
PHYSICAL REVIEW LETTERS
2024; 132 (26)
View details for DOI 10.1103/PhysRevLett.132.266501
View details for Web of Science ID 001255385700005
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Dynamical defects in a two-dimensional Wigner crystal: Self-doping and kinetic magnetism
PHYSICAL REVIEW B
2024; 109 (23)
View details for DOI 10.1103/PhysRevB.109.235130
View details for Web of Science ID 001250138900003
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Quantum Bipolaron Superconductivity from Quadratic Electron-Phonon Coupling.
Physical review letters
2024; 132 (22): 226001
Abstract
When the electron-phonon coupling is quadratic in the phonon coordinates, electrons can pair to form bipolarons due to phonon zero-point fluctuations, a purely quantum effect. We study superconductivity originating from this pairing mechanism in a minimal model and reveal that, in the strong coupling regime, the critical temperature (T_{c}) is only mildly suppressed by the coupling strength, in stark contrast to the exponential suppression in linearly coupled systems, thus implying higher optimal T_{c} values. We demonstrate that large coupling constants of this flavor are achieved in known materials such as perovskites, and discuss strategies to realize such superconductivity using superlattices.
View details for DOI 10.1103/PhysRevLett.132.226001
View details for PubMedID 38877937
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Emergent tetragonality in a fundamentally orthorhombic material.
Science advances
2024; 10 (21): eadk3321
Abstract
Symmetry plays a key role in determining the physical properties of materials. By Neumann's principle, the properties of a material remain invariant under the symmetry operations of the space group to which the material belongs. Continuous phase transitions are associated with a spontaneous reduction in symmetry. Less common are examples where proximity to a continuous phase transition leads to an increase in symmetry. We find signatures of an emergent tetragonal symmetry close to a charge density wave (CDW) bicritical point in a fundamentally orthorhombic material, ErTe3, for which the two distinct CDW phase transitions are tuned via anisotropic strain. We first establish that tension along the a axis favors an abrupt rotation of the CDW wave vector from the c to a axis and infer the presence of a bicritical point where the two continuous phase transitions meet. We then observe a divergence of the nematic elastoresistivity approaching this putative bicritical point, indicating an emergent tetragonality in the critical behavior.
View details for DOI 10.1126/sciadv.adk3321
View details for PubMedID 38781340
View details for PubMedCentralID PMC11114214
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Thermal transport measurements through the charge density wave transition in CsV 3 Sb 5
PHYSICAL REVIEW B
2024; 109 (20)
View details for DOI 10.1103/PhysRevB.109.L201120
View details for Web of Science ID 001238169700002
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The high price of overzealously defending the US research enterprise against theft by China.
Proceedings of the National Academy of Sciences of the United States of America
2023; 120 (48): e2314168120
View details for DOI 10.1073/pnas.2314168120
View details for PubMedID 37991943
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Emergent Z2 symmetry near a charge density wave multicritical point
PHYSICAL REVIEW B
2023; 108 (20)
View details for DOI 10.1103/PhysRevB.108.205141
View details for Web of Science ID 001112328100006
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Two-fluid theory of composite bosons and fermions and the quantum Hall proximity effect
PHYSICAL REVIEW B
2023; 108 (19)
View details for DOI 10.1103/PhysRevB.108.195117
View details for Web of Science ID 001275384500001
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Superconducting valence bond fluid in lightly doped eight-leg t-J cylinders
PHYSICAL REVIEW B
2023; 108 (5)
View details for DOI 10.1103/PhysRevB.108.054505
View details for Web of Science ID 001063596200003
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Multiband mean-field theory of the d plus ig superconductivity scenario in Sr2RuO4
PHYSICAL REVIEW B
2023; 108 (1)
View details for DOI 10.1103/PhysRevB.108.014502
View details for Web of Science ID 001060383000002
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Pseudo-spin order of Wigner crystals in multi-valley electron gases
LOW TEMPERATURE PHYSICS
2023; 49 (6): 679-700
View details for DOI 10.1063/10.0019425
View details for Web of Science ID 001023143800007
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50 years of quantum spin liquids
NATURE REVIEWS PHYSICS
2023
View details for DOI 10.1038/s42254-023-00596-x
View details for Web of Science ID 000995301300002
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Absence of a BCS-BEC crossover in the cuprate superconductors
NPJ QUANTUM MATERIALS
2023; 8 (1)
View details for DOI 10.1038/s41535-023-00550-1
View details for Web of Science ID 000993807300001
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Resonating Valence Bond States in an Electron-Phonon System.
Physical review letters
2023; 130 (18): 186404
Abstract
We study a simple electron-phonon model on square and triangular versions of the Lieb lattice using an asymptotically exact strong coupling analysis. At zero temperature and electron density n=1 (one electron per unit cell), for various ranges of parameters in the model, we exploit a mapping to the quantum dimer model to establish the existence of a spin-liquid phase with Z_{2} topological order (on the triangular lattice) and a multicritical line corresponding to a quantum critical spin liquid (on the square lattice). In the remaining part of the phase diagram, we find a host of charge-density-wave phases (valence-bond solids), a conventional s-wave superconducting phase, and with the addition of a small Hubbard U to tip the balance, a phonon-induced d-wave superconducting phase. Under a special condition, we find a hidden pseudospin SU(2) symmetry that implies an exact constraint on the superconducting order parameters.
View details for DOI 10.1103/PhysRevLett.130.186404
View details for PubMedID 37204902
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One-dimensional Holstein model revisited
PHYSICAL REVIEW B
2023; 107 (7)
View details for DOI 10.1103/PhysRevB.107.075142
View details for Web of Science ID 000944157900013
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How quantum phases on cylinders approach the two-dimensional limit
PHYSICAL REVIEW B
2023; 107 (7)
View details for DOI 10.1103/PhysRevB.107.075127
View details for Web of Science ID 000932048600004
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A stability bound on the [Formula: see text]-linear resistivity of conventional metals.
Proceedings of the National Academy of Sciences of the United States of America
2023; 120 (3): e2216241120
Abstract
Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is 1/τtr = 2πλT, where λ is a dimensionless strength of the electron-phonon coupling. The fact that measured values satisfy λ ≲ 1 has been noted in the context of a possible "Planckian" bound on transport. However, since the electron-phonon scattering is quasielastic in this regime, no such Planckian considerations can be relevant. We present and analyze Monte Carlo results on the Holstein model which show that a different sort of bound is at play: a "stability" bound on λ consistent with metallic transport. We conjecture that a qualitatively similar bound on the strength of residual interactions, which is often stronger than Planckian, may apply to metals more generally.
View details for DOI 10.1073/pnas.2216241120
View details for PubMedID 36634139
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Interstitial-Induced Ferromagnetism in a Two-Dimensional Wigner Crystal.
Physical review letters
2022; 129 (22): 227202
Abstract
The two-dimensional Wigner crystal (WC) occurs in the strongly interacting regime (r_{s}≫1) of the two-dimensional electron gas (2DEG). The magnetism of a pure WC is determined by tunneling processes that induce multispin ring-exchange interactions, resulting in fully polarized ferromagnetism for large enough r_{s}. Recently, Hossain et al. [Proc. Natl. Acad. Sci. U.S.A. 117, 32244 (2020)PNASA60027-842410.1073/pnas.2018248117] reported the occurrence of a fully polarized ferromagnetic insulator at r_{s}≳35 in an AlAs quantum well, but at temperatures orders of magnitude larger than the predicted exchange energies for the pure WC. Here, we analyze the large r_{s} dynamics of an interstitial defect in the WC, and show that it produces local ferromagnetism with much higher energy scales. Three hopping processes are dominant, which favor a large, fully polarized ferromagnetic polaron. Based on the above results, we speculate concerning the phenomenology of the magnetism near the metal-insulator transition of the 2DEG.
View details for DOI 10.1103/PhysRevLett.129.227202
View details for PubMedID 36493455
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Large extrinsic phonon thermal Hall effect from resonant scattering
PHYSICAL REVIEW B
2022; 106 (14)
View details for DOI 10.1103/PhysRevB.106.144111
View details for Web of Science ID 000880014900004
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Heuristic bounds on superconductivity and how to exceed them
NPJ QUANTUM MATERIALS
2022; 7 (1)
View details for DOI 10.1038/s41535-022-00491-1
View details for Web of Science ID 000847343600001
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Quantum critical fluctuations in an Fe-based superconductor
COMMUNICATIONS PHYSICS
2022; 5 (1)
View details for DOI 10.1038/s42005-022-00981-5
View details for Web of Science ID 000838070600001
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Correlated Hofstadter spectrum and flavour phase diagram in magic-angle twisted bilayer graphene
NATURE PHYSICS
2022
View details for DOI 10.1038/s41567-022-01589-w
View details for Web of Science ID 000787131300001
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Generic character of charge and spin density waves in superconducting cuprates.
Proceedings of the National Academy of Sciences of the United States of America
2022; 119 (15): e2119429119
Abstract
SignificanceThe essential physics of the cuprate high-temperature superconductors have been a central focus of condensed-matter physics for more than three decades. Although initially controversial, it is now clear that a ubiquitous tendency toward charge-density-wave (CDW) order is intertwined with the superconductivity. However, this manifests differently in distinct cuprates. On the basis of extensive X-ray and neutron scattering studies of the temperature and doping dependence of the CDW and spin-density-wave (SDW) correlations in one representative cuprate and a comparison with existing studies on other cuprates, we show that there plausibly is a single, preferred CDW order at the microscale, whose manifestation at low temperatures is modified in predictable ways by material-specific details, including its interaction with SDW order.
View details for DOI 10.1073/pnas.2119429119
View details for PubMedID 35377791
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Pair density wave and reentrant superconducting tendencies originating from valley polarization
PHYSICAL REVIEW B
2022; 105 (10)
View details for DOI 10.1103/PhysRevB.105.L100509
View details for Web of Science ID 000832789900001
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Pair-density-wave in the strong coupling limit of the Holstein-Hubbard model
NPJ QUANTUM MATERIALS
2022; 7 (1)
View details for DOI 10.1038/s41535-022-00426-w
View details for Web of Science ID 000750822800002
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Stripe order enhanced superconductivity in the Hubbard model.
Proceedings of the National Academy of Sciences of the United States of America
1800; 119 (1)
Abstract
Unidirectional ("stripe") charge density wave order has now been established as a ubiquitous feature in the phase diagram of the cuprate high-temperature superconductors, where it generally competes with superconductivity. Nonetheless, on theoretical grounds it has been conjectured that stripe order (or other forms of "optimal" inhomogeneity) may play an essential positive role in the mechanism of high-temperature superconductivity. Here, we report density matrix renormalization group studies of the Hubbard model on long four- and six-leg cylinders, where the hopping matrix elements transverse to the long direction are periodically modulated-mimicking the effect of putative period 2 stripe order. We find that even modest amplitude modulations can enhance the long-distance superconducting correlations by many orders of magnitude and drive the system into a phase with a substantial spin gap and superconducting quasi-long-range order with a Luttinger exponent, [Formula: see text].
View details for DOI 10.1073/pnas.2109406119
View details for PubMedID 34930822
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The Hubbard Model
ANNUAL REVIEW OF CONDENSED MATTER PHYSICS
2022; 13: 239-274
View details for DOI 10.1146/annurev-conmatphys-031620-102024
View details for Web of Science ID 000797036000012
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Elastocaloric signature of nematic fluctuations.
Proceedings of the National Academy of Sciences of the United States of America
2021; 118 (37)
Abstract
The elastocaloric effect (ECE) relates changes in entropy to changes in strain experienced by a material. As such, ECE measurements can provide valuable information about the entropy landscape proximate to strain-tuned phase transitions. For ordered states that break only point symmetries, bilinear coupling of the order parameter with strain implies that the ECE can also provide a window on fluctuations above the critical temperature and hence, in principle, can also provide a thermodynamic measure of the associated susceptibility. To demonstrate this, we use the ECE to sensitively reveal the presence of nematic fluctuations in the archetypal Fe-based superconductor Ba([Formula: see text])2[Formula: see text] By performing these measurements simultaneously with elastoresistivity in a multimodal fashion, we are able to make a direct and unambiguous comparison of these closely related thermodynamic and transport properties, both of which are sensitive to nematic fluctuations. As a result, we have uncovered an unanticipated doping dependence of the nemato-elastic coupling and of the magnitude of the scattering of low-energy quasi-particles by nematic fluctuations-while the former weakens, the latter increases dramatically with increasing doping.
View details for DOI 10.1073/pnas.2105911118
View details for PubMedID 34503998
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High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
PHYSICAL REVIEW LETTERS
2021; 127 (9)
View details for DOI 10.1103/PhysRevLett.127.097002
View details for Web of Science ID 000692200100017
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High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid.
Physical review letters
2021; 127 (9): 097002
Abstract
We have performed density-matrix renormalization group studies of a square lattice t-J model with small hole doping, δ≪1, on long four and six-leg cylinders. We include frustration in the form of a second-neighbor exchange coupling, J_{2}=J_{1}/2, such that the undoped (δ=0) "parent" state is a quantum spin liquid. In contrast to the relatively short range superconducting (SC) correlations that have been observed in recent studies of the six-leg cylinder in the absence of frustration, we find power-law SC correlations with a Luttinger exponent, K_{SC}≈1, consistent with a strongly diverging SC susceptibility, χ∼T^{-(2-K_{SC})} as the temperature T→0. The spin-spin correlations-as in the undoped state-fall exponentially suggesting that the SC "pairing" correlations evolve smoothly from the insulating parent state.
View details for DOI 10.1103/PhysRevLett.127.097002
View details for PubMedID 34506188
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Strain-induced time reversal breaking and half quantum vortices near a putative superconducting tetracritical point in Sr2RuO4
PHYSICAL REVIEW B
2021; 104 (5)
View details for DOI 10.1103/PhysRevB.104.054518
View details for Web of Science ID 000689732300003
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Nematic antiferromagnetism and deconfined criticality from the interplay between electron-phonon and electron-electron interactions
PHYSICAL REVIEW B
2021; 104 (8)
View details for DOI 10.1103/PhysRevB.104.L081110
View details for Web of Science ID 000686911500004
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Superconductor-to-metal transition in overdoped cuprates
NPJ QUANTUM MATERIALS
2021; 6 (1)
View details for DOI 10.1038/s41535-021-00335-4
View details for Web of Science ID 000638135700001
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The quantum Hall effect in the absence of disorder
NPJ QUANTUM MATERIALS
2021; 6 (1)
View details for DOI 10.1038/s41535-021-00321-w
View details for Web of Science ID 000625115000001
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Npj Quantum Materials as a symbol of international scientific cooperation
NPJ QUANTUM MATERIALS
2021; 6 (1): 0
View details for DOI 10.1038/s41535-021-00322-9
View details for Web of Science ID 000624074800001
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Discovery of an insulating ferromagnetic phase of electrons in two dimensions.
Proceedings of the National Academy of Sciences of the United States of America
2021; 118 (2)
View details for DOI 10.1073/pnas.2023964118
View details for PubMedID 33408156
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Nematic quantum criticality in an Fe-based superconductor revealed by strain-tuning.
Science (New York, N.Y.)
2021; 372 (6545): 973-977
Abstract
Quantum criticality may be essential to understanding a wide range of exotic electronic behavior; however, conclusive evidence of quantum critical fluctuations has been elusive in many materials of current interest. An expected characteristic feature of quantum criticality is power-law behavior of thermodynamic quantities as a function of a nonthermal tuning parameter close to the quantum critical point (QCP). Here, we observed power-law behavior of the critical temperature of the coupled nematic/structural phase transition as a function of uniaxial stress in a representative family of iron-based superconductors, providing direct evidence of quantum critical nematic fluctuations in this material. These quantum critical fluctuations are not confined within a narrow regime around the QCP but rather extend over a wide range of temperatures and compositions.
View details for DOI 10.1126/science.abb9280
View details for PubMedID 34045352
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Robust superconductivity intertwined with charge density wave and disorder in Pd-intercalated ErTe3
PHYSICAL REVIEW RESEARCH
2020; 2 (4)
View details for DOI 10.1103/PhysRevResearch.2.043221
View details for Web of Science ID 000605409000004
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Strong Coupling Limit of the Holstein-Hubbard Model.
Physical review letters
2020; 125 (16): 167001
Abstract
We analyze the quantum phase diagram of the Holstein-Hubbard model using an asymptotically exact strong coupling expansion. We find all sorts of interesting phases including a pair-density wave, a charge 4e (and even a charge 6e) superconductor, regimes of phase separation, and a variety of distinct charge-density-wave, spin-density-wave, and superconducting regimes. We chart the crossovers that occur as a function of the degree of retardation, i.e., the ratio of characteristic phonon frequency to the strength of interactions.
View details for DOI 10.1103/PhysRevLett.125.167001
View details for PubMedID 33124862
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Strong Coupling Limit of the Holstein-Hubbard Model
PHYSICAL REVIEW LETTERS
2020; 125 (16)
View details for DOI 10.1103/PhysRevLett.125.167001
View details for Web of Science ID 000576897300004
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Hubbard ladders at small U revisited
PHYSICAL REVIEW B
2020; 102 (11)
View details for DOI 10.1103/PhysRevB.102.115136
View details for Web of Science ID 000569627100003
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A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
NPJ QUANTUM MATERIALS
2020; 5 (1)
View details for DOI 10.1038/s41535-020-0245-1
View details for Web of Science ID 000544663800001
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Phases of frustrated quantum antiferromagnets on the square and triangular lattices
PHYSICAL REVIEW B
2020; 101 (21)
View details for DOI 10.1103/PhysRevB.101.214404
View details for Web of Science ID 000537145900009
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Eliashberg theory of phonon-mediated superconductivity - When it is valid and how it breaks down
ANNALS OF PHYSICS
2020; 417
View details for DOI 10.1016/j.aop.2020.168190
View details for Web of Science ID 000537830600019
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Enhanced Thermal Hall Effect in Nearly Ferroelectric Insulators.
Physical review letters
2020; 124 (16): 167601
Abstract
In the context of recent experimental observations of an unexpectedly large thermal Hall conductivity, κ_{H}, in insulating La_{2}CuO_{4} (LCO) and SrTiO_{3} (STO), we theoretically explore conditions under which acoustic phonons can give rise to such a large κ_{H}. Both the intrinsic and extrinsic contributions to κ_{H} are large in proportion to the dielectric constant, ε, and the "flexoelectric" coupling, F. While the intrinsic contribution is still orders of magnitude smaller than the observed effect, an extrinsic contribution proportional to the phonon mean-free path appears likely to account for the observations, at least in STO. We predict a larger intrinsic κ_{H} in certain insulating perovskites.
View details for DOI 10.1103/PhysRevLett.124.167601
View details for PubMedID 32383931
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Enhanced Thermal Hall Effect in Nearly Ferroelectric Insulators
PHYSICAL REVIEW LETTERS
2020; 124 (16)
View details for DOI 10.1103/PhysRevLett.124.167601
View details for Web of Science ID 000527135200010
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The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond
ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 11, 2020
2020; 11: 231–70
View details for DOI 10.1146/annurev-conmatphys-031119-050711
View details for Web of Science ID 000520427200012
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Disorder-induced suppression of charge density wave order: STM study of Pd-intercalated ErTe3
PHYSICAL REVIEW B
2019; 100 (23)
View details for DOI 10.1103/PhysRevB.100.235446
View details for Web of Science ID 000504445200004
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Physics of Superconducting Transition Temperatures
JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM
2019
View details for DOI 10.1007/s10948-019-05254-x
View details for Web of Science ID 000499614400001
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John Robert Schrieffer (1931-2019).
Science (New York, N.Y.)
2019; 365 (6459): 1253
View details for DOI 10.1126/science.aaz2849
View details for PubMedID 31604230
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John Robert Schrieffer (1931-2019)
SCIENCE
2019; 365 (6459): 1253
View details for DOI 10.1126/science.aaz2849
View details for Web of Science ID 000487547400027
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Fermi surface reconstruction by a charge density wave with finite correlation length
PHYSICAL REVIEW B
2019; 100 (4)
View details for DOI 10.1103/PhysRevB.100.045128
View details for Web of Science ID 000476688000004
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Shoucheng Zhang (1963-2018) OBITUARY
NATURE
2019; 565 (7741): 568
View details for Web of Science ID 000457404000028
View details for PubMedID 30675036
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Colloquium: Anomalous metals: Failed superconductors
REVIEWS OF MODERN PHYSICS
2019; 91 (1)
View details for DOI 10.1103/RevModPhys.91.011002
View details for Web of Science ID 000456795800001
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Generalization of Anderson's theorem for disordered superconductors
PHYSICAL REVIEW B
2018; 98 (17)
View details for DOI 10.1103/PhysRevB.98.174503
View details for Web of Science ID 000450138900004
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Superconductivity in the doped t - J model: Results for four-leg cylinders
PHYSICAL REVIEW B
2018; 98 (14)
View details for DOI 10.1103/PhysRevB.98.140505
View details for Web of Science ID 000447720100002
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Spatially modulated susceptibility in thin film La2-xBaxCuO4
PHYSICAL REVIEW B
2018; 98 (1)
View details for DOI 10.1103/PhysRevB.98.014506
View details for Web of Science ID 000438186100003
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Pair density waves in superconducting vortex halos
PHYSICAL REVIEW B
2018; 97 (17)
View details for DOI 10.1103/PhysRevB.97.174510
View details for Web of Science ID 000432963200003
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Understanding complexity
NATURE PHYSICS
2018; 14 (5): 426–27
View details for DOI 10.1038/s41567-018-0136-6
View details for Web of Science ID 000431301800002
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Transverse fields to tune an Ising-nematic quantum phase transition
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
2017; 114 (51): 13430–34
Abstract
The paradigmatic example of a continuous quantum phase transition is the transverse field Ising ferromagnet. In contrast to classical critical systems, whose properties depend only on symmetry and the dimension of space, the nature of a quantum phase transition also depends on the dynamics. In the transverse field Ising model, the order parameter is not conserved, and increasing the transverse field enhances quantum fluctuations until they become strong enough to restore the symmetry of the ground state. Ising pseudospins can represent the order parameter of any system with a twofold degenerate broken-symmetry phase, including electronic nematic order associated with spontaneous point-group symmetry breaking. Here, we show for the representative example of orbital-nematic ordering of a non-Kramers doublet that an orthogonal strain or a perpendicular magnetic field plays the role of the transverse field, thereby providing a practical route for tuning appropriate materials to a quantum critical point. While the transverse fields are conjugate to seemingly unrelated order parameters, their nontrivial commutation relations with the nematic order parameter, which can be represented by a Berry-phase term in an effective field theory, intrinsically intertwine the different order parameters.
View details for PubMedID 29208710
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Superconductivity in engineered two-dimensional electron gases
PHYSICAL REVIEW B
2017; 96 (17)
View details for DOI 10.1103/PhysRevB.96.174514
View details for Web of Science ID 000415567500005
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Avoided criticality and slow relaxation in frustrated two-dimensional models
PHYSICAL REVIEW B
2017; 96 (14)
View details for DOI 10.1103/PhysRevB.96.144305
View details for Web of Science ID 000413443000001
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Non-quasiparticle transport and resistivity saturation: a view from the large-N limit (vol 2, 58, 2017)
NPJ QUANTUM MATERIALS
2017; 2
View details for DOI 10.1038/s41535-017-0060-5
View details for Web of Science ID 000414585200001
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Time to fix science prizes
NATURE PHYSICS
2017; 13 (9): 822
View details for DOI 10.1038/nphys4246
View details for Web of Science ID 000409235100003
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Vestigial nematicity from spin and/or charge order in the cuprates
PHYSICAL REVIEW B
2017; 96 (8)
View details for DOI 10.1103/PhysRevB.96.085142
View details for Web of Science ID 000408512400005
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Fractional charge and emergent mass hierarchy in diagonal two-leg t-J cylinders
PHYSICAL REVIEW B
2017; 95 (24)
View details for DOI 10.1103/PhysRevB.95.245105
View details for Web of Science ID 000402798100003
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Charge-4e superconductors: A Majorana quantum Monte Carlo study
PHYSICAL REVIEW B
2017; 95 (24)
View details for DOI 10.1103/PhysRevB.95.241103
View details for Web of Science ID 000402798100001
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Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
2017; 114 (19): 4905-4910
Abstract
Using determinantal quantum Monte Carlo, we compute the properties of a lattice model with spin [Formula: see text] itinerant electrons tuned through a quantum phase transition to an Ising nematic phase. The nematic fluctuations induce superconductivity with a broad dome in the superconducting [Formula: see text] enclosing the nematic quantum critical point. For temperatures above [Formula: see text], we see strikingly non-Fermi liquid behavior, including a "nodal-antinodal dichotomy" reminiscent of that seen in several transition metal oxides. In addition, the critical fluctuations have a strong effect on the low-frequency optical conductivity, resulting in behavior consistent with "bad metal" phenomenology.
View details for DOI 10.1073/pnas.1620651114
View details for Web of Science ID 000400818400034
View details for PubMedID 28439023
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Intertwined order in a frustrated four-leg t - J cylinder
PHYSICAL REVIEW B
2017; 95 (15)
View details for DOI 10.1103/PhysRevB.95.155116
View details for Web of Science ID 000401710400001
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Non-quasiparticle transport and resistivity saturation: a view from the large-N limit
NPJ QUANTUM MATERIALS
2017; 2
View details for DOI 10.1038/s41535-017-0009-8
View details for Web of Science ID 000407416900001
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Ideal charge-density-wave order in the high-field state of superconducting YBCO
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
2016; 113 (51): 14645-14650
Abstract
The existence of charge-density-wave (CDW) correlations in cuprate superconductors has now been established. However, the nature of the CDW ground state has remained uncertain because disorder and the presence of superconductivity typically limit the CDW correlation lengths to only a dozen unit cells or less. Here we explore the field-induced 3D CDW correlations in extremely pure detwinned crystals of YBa2Cu3O2 (YBCO) ortho-II and ortho-VIII at magnetic fields in excess of the resistive upper critical field ([Formula: see text]) where superconductivity is heavily suppressed. We observe that the 3D CDW is unidirectional and possesses a long in-plane correlation length as well as significant correlations between neighboring CuO2 planes. It is significant that we observe only a single sharply defined transition at a critical field proportional to [Formula: see text], given that the field range used in this investigation overlaps with other high-field experiments including quantum oscillation measurements. The correlation volume is at least two to three orders of magnitude larger than that of the zero-field CDW. This is by far the largest CDW correlation volume observed in any cuprate crystal and so is presumably representative of the high-field ground state of an "ideal" disorder-free cuprate.
View details for DOI 10.1073/pnas.1612849113
View details for Web of Science ID 000390044900047
View details for PubMedID 27930313
View details for PubMedCentralID PMC5187671
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Defining emergence in physics
NPJ QUANTUM MATERIALS
2016; 1
View details for DOI 10.1038/npjquantmats.2016.24
View details for Web of Science ID 000407385200001
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Ising Nematic Quantum Critical Point in a Metal: A Monte Carlo Study
PHYSICAL REVIEW X
2016; 6 (3)
View details for DOI 10.1103/PhysRevX.6.031028
View details for Web of Science ID 000381897100001
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Why do we need another journal?
NPJ QUANTUM MATERIALS
2016; 1
View details for DOI 10.1038/npjquantmats.2016.6
View details for Web of Science ID 000407381900004
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Cold-spots and glassy nematicity in underdoped cuprates
PHYSICAL REVIEW B
2016; 94 (1)
View details for DOI 10.1103/PhysRevB.94.014204
View details for Web of Science ID 000379497400003
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What really happens in strongly correlated superconductors: insights from a quantum Monte-Carlo study of high temperature superconductivity in FeSe films
SCIENCE BULLETIN
2016; 61 (12): 911–13
View details for DOI 10.1007/s11434-016-1101-3
View details for Web of Science ID 000378298000001
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Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors
SCIENCE
2016; 352 (6288): 958-962
Abstract
A key actor in the conventional theory of superconductivity is the induced interaction between electrons mediated by the exchange of virtual collective fluctuations (phonons in the case of conventional s-wave superconductors). Other collective modes that can play the same role, especially spin fluctuations, have been widely discussed in the context of high-temperature and heavy Fermion superconductors. The strength of such collective fluctuations is measured by the associated susceptibility. Here we use differential elastoresistance measurements from five optimally doped iron-based superconductors to show that divergent nematic susceptibility appears to be a generic feature in the optimal doping regime of these materials. This observation motivates consideration of the effects of nematic fluctuations on the superconducting pairing interaction in this family of compounds and possibly beyond.
View details for DOI 10.1126/science.aab0103
View details for Web of Science ID 000376147800040
View details for PubMedID 27199422
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Electronic pair binding and Hund's rule violations in doped C-60
PHYSICAL REVIEW B
2016; 93 (16)
View details for DOI 10.1103/PhysRevB.93.165406
View details for Web of Science ID 000373571500004
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Necessity of Time-Reversal Symmetry Breaking for the Polar Kerr Effect in Linear Response.
Physical review letters
2016; 116 (9): 093903-?
Abstract
We show that, measured in a backscattering geometry, the polar Kerr effect is absent if the nonlocal electromagnetic response function respects Onsager symmetry, characteristic of thermodynamic states that preserve time-reversal symmetry. A key element is an expression for the reflectivity tensor in terms of the retarded Green's function.
View details for DOI 10.1103/PhysRevLett.116.093903
View details for PubMedID 26991178
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Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for YBa2Cu3O6+delta
PHYSICAL REVIEW B
2016; 93 (9)
View details for DOI 10.1103/PhysRevB.93.094503
View details for Web of Science ID 000371401100004
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Vestigial chiral and charge orders from bidirectional spin-density waves: Application to the iron-based superconductors
PHYSICAL REVIEW B
2016; 93 (1)
View details for DOI 10.1103/PhysRevB.93.014511
View details for Web of Science ID 000368481300011
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Self-duality and a Hall-insulator phase near the superconductor-to-insulator transition in indium-oxide films
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
2016; 113 (2): 280-285
Abstract
We combine measurements of the longitudinal (ρxx) and Hall (ρxy) resistivities of disordered 2D amorphous indium-oxide films to study the magnetic-field tuned superconductor-to-insulator transition (H-SIT) in the T --> 0 limit. At the critical field, Hc, the full resistivity tensor is T independent with ρxx(Hc) = h/4e(2) and ρxy(Hc) = 0 within experimental uncertainty in all films (i.e., these appear to be "universal" values); this is strongly suggestive that there is a particle-vortex self-duality at H = Hc. The transition separates the (presumably) superconducting state at H < Hc from a "Hall-insulator" phase in which ρxx --> ∞ as T --> 0 whereas ρxy approaches a nonzero value smaller than its "classical value" H/nec; i.e., 0 < ρxy < H/nec. A still higher characteristic magnetic field, Hc* > Hc, at which the Hall resistance is T independent and roughly equal to its classical value, ρxy ≈ H/nec, marks an additional crossover to a high-field regime (probably to a Fermi insulator) in which ρxy > H/nec and possibly diverges as T --> 0. We also highlight a profound analogy between the H-SIT and quantum-Hall liquid-to-insulator transitions (QHIT).
View details for DOI 10.1073/pnas.1522435113
View details for Web of Science ID 000367881500032
View details for PubMedCentralID PMC4720312
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Self-duality and a Hall-insulator phase near the superconductor-to-insulator transition in indium-oxide films.
Proceedings of the National Academy of Sciences of the United States of America
2016; 113 (2): 280-5
Abstract
We combine measurements of the longitudinal (ρxx) and Hall (ρxy) resistivities of disordered 2D amorphous indium-oxide films to study the magnetic-field tuned superconductor-to-insulator transition (H-SIT) in the T --> 0 limit. At the critical field, Hc, the full resistivity tensor is T independent with ρxx(Hc) = h/4e(2) and ρxy(Hc) = 0 within experimental uncertainty in all films (i.e., these appear to be "universal" values); this is strongly suggestive that there is a particle-vortex self-duality at H = Hc. The transition separates the (presumably) superconducting state at H < Hc from a "Hall-insulator" phase in which ρxx --> ∞ as T --> 0 whereas ρxy approaches a nonzero value smaller than its "classical value" H/nec; i.e., 0 < ρxy < H/nec. A still higher characteristic magnetic field, Hc* > Hc, at which the Hall resistance is T independent and roughly equal to its classical value, ρxy ≈ H/nec, marks an additional crossover to a high-field regime (probably to a Fermi insulator) in which ρxy > H/nec and possibly diverges as T --> 0. We also highlight a profound analogy between the H-SIT and quantum-Hall liquid-to-insulator transitions (QHIT).
View details for DOI 10.1073/pnas.1522435113
View details for PubMedID 26712029
View details for PubMedCentralID PMC4720312
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Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields
SCIENCE
2015; 350 (6263): 949-952
Abstract
Charge density wave (CDW) correlations have been shown to universally exist in cuprate superconductors. However, their nature at high fields inferred from nuclear magnetic resonance is distinct from that measured with x-ray scattering at zero and low fields. We combined a pulsed magnet with an x-ray free-electron laser to characterize the CDW in YBa2Cu3O6.67 via x-ray scattering in fields of up to 28 tesla. While the zero-field CDW order, which develops at temperatures below ~150 kelvin, is essentially two dimensional, at lower temperature and beyond 15 tesla, another three-dimensionally ordered CDW emerges. The field-induced CDW appears around the zero-field superconducting transition temperature; in contrast, the incommensurate in-plane ordering vector is field-independent. This implies that the two forms of CDW and high-temperature superconductivity are intimately linked.
View details for DOI 10.1126/science.aac6257
View details for Web of Science ID 000364955200042
View details for PubMedID 26541608
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Fluctuating orders and quenched randomness in the cuprates
PHYSICAL REVIEW B
2015; 92 (17)
View details for DOI 10.1103/PhysRevB.92.174505
View details for Web of Science ID 000364013400002
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Macroscopic character of composite high-temperature superconducting wires
PHYSICAL REVIEW B
2015; 92 (18)
View details for DOI 10.1103/PhysRevB.92.184502
View details for Web of Science ID 000364014400008
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Nematicity and quantum paramagnetism in FeSe
NATURE PHYSICS
2015; 11 (11): 959-963
View details for DOI 10.1038/NPHYS3456
View details for Web of Science ID 000364800600022
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One Hole in the Two-Leg t-J Ladder and Adiabatic Continuity to the Noninteracting Limit
PHYSICAL REVIEW LETTERS
2015; 115 (5)
View details for DOI 10.1103/PhysRevLett.115.056401
View details for Web of Science ID 000358609800012
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Colloquium: Theory of intertwined orders in high temperature superconductors
REVIEWS OF MODERN PHYSICS
2015; 87 (2): 457-482
View details for DOI 10.1103/RevModPhys.87.457
View details for Web of Science ID 000355105300001
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Enhancement of Superconductivity near a Nematic Quantum Critical Point
PHYSICAL REVIEW LETTERS
2015; 114 (9)
Abstract
We consider a low T_{c} metallic superconductor weakly coupled to the soft fluctuations associated with proximity to a nematic quantum critical point (NQCP). We show that (1) a BCS-Eliashberg treatment remains valid outside of a parametrically narrow interval about the NQCP, (2) the symmetry of the superconducting state (d wave, s wave, p wave) is typically determined by the noncritical interactions, but T_{c} is enhanced by the nematic fluctuations in all channels, and (3) in 2D, this enhancement grows upon approach to criticality up to the point at which the weak coupling approach breaks down, but in 3D, the enhancement is much weaker.
View details for DOI 10.1103/PhysRevLett.114.097001
View details for Web of Science ID 000351000300008
View details for PubMedID 25793842
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From quantum matter to high-temperature superconductivity in copper oxides
NATURE
2015; 518 (7538): 179-186
Abstract
The discovery of high-temperature superconductivity in the copper oxides in 1986 triggered a huge amount of innovative scientific inquiry. In the almost three decades since, much has been learned about the novel forms of quantum matter that are exhibited in these strongly correlated electron systems. A qualitative understanding of the nature of the superconducting state itself has been achieved. However, unresolved issues include the astonishing complexity of the phase diagram, the unprecedented prominence of various forms of collective fluctuations, and the simplicity and insensitivity to material details of the 'normal' state at elevated temperatures.
View details for DOI 10.1038/nature14165
View details for Web of Science ID 000349190300029
View details for PubMedID 25673411
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Disruption of quantum oscillations by an incommensurate charge density wave
PHYSICAL REVIEW B
2015; 91 (8)
View details for DOI 10.1103/PhysRevB.91.085105
View details for Web of Science ID 000350171600003
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Coherent transmutation of electrons into fractionalized anyons
SCIENCE
2014; 346 (6210): 722-725
Abstract
Electrons have three quantized properties-charge, spin, and Fermi statistics-that are directly responsible for a vast array of phenomena. Here we show how these properties can be coherently and dynamically stripped from the electron as it enters a certain exotic state of matter known as a quantum spin liquid (QSL). In a QSL, electron spins collectively form a highly entangled quantum state that gives rise to the fractionalization of spin, charge, and statistics. We show that certain QSLs host distinct, topologically robust boundary types, some of which allow the electron to coherently enter the QSL as a fractionalized quasi-particle, leaving its spin, charge, or statistics behind. We use these ideas to propose a number of universal, conclusive experimental signatures that would establish fractionalization in QSLs.
View details for DOI 10.1126/science.1253251
View details for Web of Science ID 000344690100033
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Coherent transmutation of electrons into fractionalized anyons.
Science
2014; 346 (6210): 722-725
Abstract
Electrons have three quantized properties-charge, spin, and Fermi statistics-that are directly responsible for a vast array of phenomena. Here we show how these properties can be coherently and dynamically stripped from the electron as it enters a certain exotic state of matter known as a quantum spin liquid (QSL). In a QSL, electron spins collectively form a highly entangled quantum state that gives rise to the fractionalization of spin, charge, and statistics. We show that certain QSLs host distinct, topologically robust boundary types, some of which allow the electron to coherently enter the QSL as a fractionalized quasi-particle, leaving its spin, charge, or statistics behind. We use these ideas to propose a number of universal, conclusive experimental signatures that would establish fractionalization in QSLs.
View details for DOI 10.1126/science.1253251
View details for PubMedID 25378617
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Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
2014; 111 (22): 7980-7985
Abstract
The cuprate high-temperature superconductors have been the focus of unprecedentedly intense and sustained study not only because of their high superconducting transition temperatures, but also because they represent the most exquisitely investigated examples of highly correlated electronic materials. In particular, the pseudogap regime of the phase diagram exhibits a variety of mysterious emergent behaviors. In the last few years, evidence from NMR and scanning tunneling microscopy (STM) studies, as well as from a new generation of X-ray scattering experiments, has accumulated, indicating that a general tendency to short-range-correlated incommensurate charge density wave (CDW) order is "intertwined" with the superconductivity in this regime. Additionally, transport, STM, neutron-scattering, and optical experiments have produced evidence--not yet entirely understood--of the existence of an associated pattern of long-range-ordered point-group symmetry breaking with an electron-nematic character. We have carried out a theoretical analysis of the Landau-Ginzburg-Wilson effective field theory of a classical incommensurate CDW in the presence of weak quenched disorder. Although the possibilities of a sharp phase transition and long-range CDW order are precluded in such systems, we show that any discrete symmetry-breaking aspect of the charge order--nematicity in the case of the unidirectional (stripe) CDW we consider explicitly--generically survives up to a nonzero critical disorder strength. Such "vestigial order," which is subject to unambiguous macroscopic detection, can serve as an avatar of what would be CDW order in the ideal, zero disorder limit. Various recent experiments in the pseudogap regime of the hole-doped cuprates are readily interpreted in light of these results.
View details for DOI 10.1073/pnas.1406019111
View details for Web of Science ID 000336687900038
View details for PubMedCentralID PMC4050631
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Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates.
Proceedings of the National Academy of Sciences of the United States of America
2014; 111 (22): 7980-7985
Abstract
The cuprate high-temperature superconductors have been the focus of unprecedentedly intense and sustained study not only because of their high superconducting transition temperatures, but also because they represent the most exquisitely investigated examples of highly correlated electronic materials. In particular, the pseudogap regime of the phase diagram exhibits a variety of mysterious emergent behaviors. In the last few years, evidence from NMR and scanning tunneling microscopy (STM) studies, as well as from a new generation of X-ray scattering experiments, has accumulated, indicating that a general tendency to short-range-correlated incommensurate charge density wave (CDW) order is "intertwined" with the superconductivity in this regime. Additionally, transport, STM, neutron-scattering, and optical experiments have produced evidence--not yet entirely understood--of the existence of an associated pattern of long-range-ordered point-group symmetry breaking with an electron-nematic character. We have carried out a theoretical analysis of the Landau-Ginzburg-Wilson effective field theory of a classical incommensurate CDW in the presence of weak quenched disorder. Although the possibilities of a sharp phase transition and long-range CDW order are precluded in such systems, we show that any discrete symmetry-breaking aspect of the charge order--nematicity in the case of the unidirectional (stripe) CDW we consider explicitly--generically survives up to a nonzero critical disorder strength. Such "vestigial order," which is subject to unambiguous macroscopic detection, can serve as an avatar of what would be CDW order in the ideal, zero disorder limit. Various recent experiments in the pseudogap regime of the hole-doped cuprates are readily interpreted in light of these results.
View details for DOI 10.1073/pnas.1406019111
View details for PubMedID 24799709
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Correlations and renormalization of the electron-phonon coupling in the honeycomb Hubbard ladder and superconductivity in polyacene
PHYSICAL REVIEW B
2013; 88 (22)
View details for DOI 10.1103/PhysRevB.88.224512
View details for Web of Science ID 000332158300002
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Evidence from tunneling spectroscopy for a quasi-one-dimensional origin of superconductivity in Sr2RuO4
PHYSICAL REVIEW B
2013; 88 (13)
View details for DOI 10.1103/PhysRevB.88.134521
View details for Web of Science ID 000326159000004
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Field theory of the quantum Hall nematic transition
PHYSICAL REVIEW B
2013; 88 (12)
View details for DOI 10.1103/PhysRevB.88.125137
View details for Web of Science ID 000324954700001
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Band structure effects on the superconductivity in Hubbard models
PHYSICAL REVIEW B
2013; 88 (6)
View details for DOI 10.1103/PhysRevB.88.064505
View details for Web of Science ID 000323032300005
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Gapless spin liquids: Stability and possible experimental relevance
PHYSICAL REVIEW B
2013; 87 (14)
View details for DOI 10.1103/PhysRevB.87.140402
View details for Web of Science ID 000316948100002
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Kerr effect as evidence of gyrotropic order in the cuprates
PHYSICAL REVIEW B
2013; 87 (11)
View details for DOI 10.1103/PhysRevB.87.115116
View details for Web of Science ID 000316101200003
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Microscopic Model of Quasiparticle Wave Packets in Superfluids, Superconductors, and Paired Hall States
PHYSICAL REVIEW LETTERS
2012; 109 (23)
Abstract
We study the structure of Bogoliubov quasiparticles, bogolons, the fermionic excitations of paired superfluids that arise from fermion (BCS) pairing, including neutral superfluids, superconductors, and paired quantum Hall states. The naive construction of a stationary quasiparticle in which the deformation of the pair field is neglected leads to a contradiction: it carries a net electrical current even though it does not move. However, treating the pair field self-consistently resolves this problem: in a neutral superfluid, a dipolar current pattern is associated with the quasiparticle for which the total current vanishes. When Maxwell electrodynamics is included, as appropriate to a superconductor, this pattern is confined over a penetration depth. For paired quantum Hall states of composite fermions, the Maxwell term is replaced by a Chern-Simons term, which leads to a dipolar charge distribution and consequently to a dipolar current pattern.
View details for DOI 10.1103/PhysRevLett.109.237004
View details for Web of Science ID 000312012200039
View details for PubMedID 23368246
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HIGH-TEMPERATURE SUPERCONDUCTIVITY Ineluctable complexity
NATURE PHYSICS
2012; 8 (12): 864–66
View details for DOI 10.1038/nphys2498
View details for Web of Science ID 000311888200010
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Charge and spin collective modes in a quasi-one-dimensional model of Sr2RuO4
PHYSICAL REVIEW B
2012; 86 (6)
View details for DOI 10.1103/PhysRevB.86.064525
View details for Web of Science ID 000308002400009
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Typology for quantum Hall liquids
PHYSICAL REVIEW B
2012; 85 (24)
View details for DOI 10.1103/PhysRevB.85.241307
View details for Web of Science ID 000305538300002
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Exact Spin Liquid Ground States of the Quantum Dimer Model on the Square and Honeycomb Lattices
PHYSICAL REVIEW LETTERS
2012; 108 (24)
Abstract
We study a generalized quantum hard-core dimer model on the square and honeycomb lattices, allowing for first and second neighbor dimers. At generalized Rokhsar-Kivelson points, the exact ground states can be constructed, and ground-state correlation functions can be equated to those of interacting (1+1)-dimensional Grassmann fields. When the concentration of second neighbor dimers is small, the ground-state correlations are shown to be short ranged corresponding to a (gaped) spin liquid phase. On a 2-torus, the ground states exhibit fourfold topological degeneracy. On a finite cylinder we have found a dramatic even-odd effect depending on the circumference and propose that this can be used as a numerical diagnostic of gapped spin-liquid phases, more generally.
View details for DOI 10.1103/PhysRevLett.108.247206
View details for Web of Science ID 000305257900018
View details for PubMedID 23004318
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The weakly coupled Pfaffian as a type I quantum hall liquid
International Workshop on Electronic Crystals (ECRYS)
ELSEVIER SCIENCE BV. 2012: 1937–38
View details for DOI 10.1016/j.physb.2012.01.069
View details for Web of Science ID 000303415000066
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Observable NMR signal from circulating current order in YBCO
PHYSICAL REVIEW B
2012; 85 (15)
View details for DOI 10.1103/PhysRevB.85.155130
View details for Web of Science ID 000302905500003
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Pressure effects on magnetically driven electronic nematic states in iron pnictide superconductors
PHYSICAL REVIEW B
2012; 85 (10)
View details for DOI 10.1103/PhysRevB.85.100507
View details for Web of Science ID 000301915900002
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Phases of the Infinite U Hubbard Model on Square Lattices
PHYSICAL REVIEW LETTERS
2012; 108 (12)
Abstract
We apply the density matrix renormalization group to study the phase diagram of the infinite U Hubbard model on 2- to 6-leg ladders. Where the results are largely insensitive to the ladder width, we consider the results representative of the 2D square lattice. We find a fully polarized ferromagnetic Fermi liquid phase when n, the density of electrons per site, is in the range 1>n≳0.800. For n=3/4 we find an unexpected insulating checkerboard phase with coexisting bond-density order with 4 sites per unit cell and block-spin antiferromagnetic order with 8 sites per unit cell. For 3/4>n, all ladders with width >2 have unpolarized ground states.
View details for DOI 10.1103/PhysRevLett.108.126406
View details for Web of Science ID 000301853800005
View details for PubMedID 22540606
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Electronic liquid crystalline phases in a spin-orbit coupled two-dimensional electron gas
PHYSICAL REVIEW B
2012; 85 (3)
View details for DOI 10.1103/PhysRevB.85.035116
View details for Web of Science ID 000299275200002
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Effects of longer-range interactions on unconventional superconductivity
PHYSICAL REVIEW B
2012; 85 (2)
View details for DOI 10.1103/PhysRevB.85.024516
View details for Web of Science ID 000298921500008
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Thermodynamics of phase formation in the quantum critical metal Sr3Ru2O7
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
2011; 108 (40): 16549-16553
Abstract
The behavior of matter near zero temperature continuous phase transitions, or "quantum critical points" is a central topic of study in condensed matter physics. In fermionic systems, fundamental questions remain unanswered: the nature of the quantum critical regime is unclear because of the apparent breakdown of the concept of the quasiparticle, a cornerstone of existing theories of strongly interacting metals. Even less is known experimentally about the formation of ordered phases from such a quantum critical "soup." Here, we report a study of the specific heat across the phase diagram of the model system Sr(3)Ru(2)O(7), which features an anomalous phase whose transport properties are consistent with those of an electronic nematic. We show that this phase, which exists at low temperatures in a narrow range of magnetic fields, forms directly from a quantum critical state, and contains more entropy than mean-field calculations predict. Our results suggest that this extra entropy is due to remnant degrees of freedom from the highly entropic state above T(c). The associated quantum critical point, which is "concealed" by the nematic phase, separates two Fermi liquids, neither of which has an identifiable spontaneously broken symmetry, but which likely differ in the topology of their Fermi surfaces.
View details for DOI 10.1073/pnas.1112775108
View details for Web of Science ID 000295536000020
View details for PubMedID 21933961
View details for PubMedCentralID PMC3189037
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Fermi-surface reconstruction in a smectic phase of a high-temperature superconductor
PHYSICAL REVIEW B
2011; 84 (1)
View details for DOI 10.1103/PhysRevB.84.012507
View details for Web of Science ID 000293127600001
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Hydrodynamic Description of Transport in Strongly Correlated Electron Systems
PHYSICAL REVIEW LETTERS
2011; 106 (25)
Abstract
We develop a hydrodynamic description of the resistivity and magnetoresistance of an electron liquid in a smooth disorder potential. This approach is valid when the electron-electron scattering length is sufficiently short. In a broad range of temperatures, the dissipation is dominated by heat fluxes in the electron fluid, and the resistivity is inversely proportional to the thermal conductivity, κ. This is in striking contrast to the Stokes flow, in which the resistance is independent of κ and proportional to the fluid viscosity. We also identify a new hydrodynamic mechanism of spin magnetoresistance.
View details for DOI 10.1103/PhysRevLett.106.256804
View details for Web of Science ID 000292040900013
View details for PubMedID 21770662
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Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid
PHYSICAL REVIEW LETTERS
2011; 106 (23)
Abstract
The Pfaffian phase in the proximity of a half-filled Landau level is understood to be a p+ip superconductor of composite fermions. We consider the properties of this paired quantum Hall phase when the pairing energy is small, i.e., in the weak-coupling, BCS limit, where the coherence length is much larger than the charge screening length. We find that, as in a type I superconductor, vortices attract so that, upon varying the magnetic field from its magic value at ν=5/2, the system exhibits Coulomb frustrated phase separation. We propose that the weakly and strongly coupled Pfaffians exemplify a general dichotomy between type I and type II quantum Hall fluids.
View details for DOI 10.1103/PhysRevLett.106.236801
View details for Web of Science ID 000291313300012
View details for PubMedID 21770531
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From a Single-Band Metal to a High-Temperature Superconductor via Two Thermal Phase Transitions
SCIENCE
2011; 331 (6024): 1579-1583
Abstract
The nature of the pseudogap phase of cuprate high-temperature superconductors is a major unsolved problem in condensed matter physics. We studied the commencement of the pseudogap state at temperature T* using three different techniques (angle-resolved photoemission spectroscopy, polar Kerr effect, and time-resolved reflectivity) on the same optimally doped Bi2201 crystals. We observed the coincident, abrupt onset at T* of a particle-hole asymmetric antinodal gap in the electronic spectrum, a Kerr rotation in the reflected light polarization, and a change in the ultrafast relaxational dynamics, consistent with a phase transition. Upon further cooling, spectroscopic signatures of superconductivity begin to grow close to the superconducting transition temperature (T(c)), entangled in an energy-momentum-dependent manner with the preexisting pseudogap features, ushering in a ground state with coexisting orders.
View details for DOI 10.1126/science.1198415
View details for PubMedID 21436447
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Superconductivity from repulsive interactions in the two-dimensional electron gas
PHYSICAL REVIEW B
2011; 83 (9)
View details for DOI 10.1103/PhysRevB.83.094518
View details for Web of Science ID 000288317900009
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Enhanced pairing in the checkerboard Hubbard ladder
PHYSICAL REVIEW B
2011; 83 (5)
View details for DOI 10.1103/PhysRevB.83.054508
View details for Web of Science ID 000287584000010
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Local interlayer tunneling between two-dimensional electron systems in the ballistic regime
PHYSICAL REVIEW B
2010; 82 (23)
View details for DOI 10.1103/PhysRevB.82.235317
View details for Web of Science ID 000286769600003
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Entropy-driven formation of a half-quantum vortex lattice
PHYSICAL REVIEW B
2010; 82 (21)
View details for DOI 10.1103/PhysRevB.82.214512
View details for Web of Science ID 000286748200006
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Fragile Mott Insulators
PHYSICAL REVIEW LETTERS
2010; 105 (16)
Abstract
We prove that there exists a class of crystalline insulators, which we call "fragile Mott insulators," which are not adiabatically connected to any sort of band insulator provided time-reversal and certain point-group symmetries are respected, but which are otherwise unspectacular in that they exhibit no topological order nor any form of fractionalized quasiparticles. Different fragile Mott insulators are characterized by different nontrivial one-dimensional representations of the crystal point group. We illustrate this new type of insulators with two examples: the d Mott insulator discovered in the checkerboard Hubbard model at half-filling and the Affleck-Kennedy-Lieb-Tasaki insulator on the square lattice.
View details for DOI 10.1103/PhysRevLett.105.166402
View details for Web of Science ID 000282948900008
View details for PubMedID 21230988
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Pair-Density-Wave Correlations in the Kondo-Heisenberg Model
PHYSICAL REVIEW LETTERS
2010; 105 (14)
Abstract
We show, using density-matrix renormalization-group calculations complemented by field-theoretic arguments, that the spin-gapped phase of the one dimensional Kondo-Heisenberg model exhibits quasi-long-range superconducting correlations only at a nonzero momentum. The local correlations in this phase resemble those of the pair-density-wave state which was recently proposed to describe the phenomenology of the striped ordered high-temperature superconductor La(2-x)Ba(x)CuO₄, in which the spin, charge, and superconducting orders are strongly intertwined.
View details for DOI 10.1103/PhysRevLett.105.146403
View details for Web of Science ID 000282219200011
View details for PubMedID 21230852
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Hidden Quasi-One-Dimensional Superconductivity in Sr2RuO4
PHYSICAL REVIEW LETTERS
2010; 105 (13)
Abstract
We show that the interplay between spin and charge fluctuations in Sr₂RuO₄ leads unequivocally to triplet pairing which has a hidden quasi-one-dimensional character. The resulting superconducting state spontaneously breaks time-reversal symmetry and is of the form Δ ~(p(x)+ip(y))z(^) with sharp gap minima and a d vector that is only weakly pinned. The superconductor lacks robust chiral Majorana fermion modes along the boundary. The absence of topologically protected edge modes could explain the surprising absence of experimentally detectable edge currents in this system.
View details for DOI 10.1103/PhysRevLett.105.136401
View details for Web of Science ID 000282054100009
View details for PubMedID 21230791
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Nematic valley ordering in quantum Hall systems
PHYSICAL REVIEW B
2010; 82 (3)
View details for DOI 10.1103/PhysRevB.82.035428
View details for Web of Science ID 000280123900006
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Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution
PHYSICAL REVIEW B
2010; 81 (22)
View details for DOI 10.1103/PhysRevB.81.224505
View details for Web of Science ID 000278387200004
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Colloquium: Transport in strongly correlated two dimensional electron fluids
REVIEWS OF MODERN PHYSICS
2010; 82 (2): 1743-1766
View details for DOI 10.1103/RevModPhys.82.1743
View details for Web of Science ID 000278230100001
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Properties of a diagonal two-orbital ladder model of the iron pnictide superconductors
PHYSICAL REVIEW B
2010; 81 (17)
View details for DOI 10.1103/PhysRevB.81.172504
View details for Web of Science ID 000278141600023
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Electron Nematic Phases Proliferate
SCIENCE
2010; 327 (5962): 155–56
View details for DOI 10.1126/science.1183464
View details for Web of Science ID 000273394000023
View details for PubMedID 20056881
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Nematic Fermi Fluids in Condensed Matter Physics
ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 1
2010; 1: 153-178
View details for DOI 10.1146/annurev-conmatphys-070909-103925
View details for Web of Science ID 000281964000008
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Striped superconductors: how spin, charge and superconducting orders intertwine in the cuprates
NEW JOURNAL OF PHYSICS
2009; 11
View details for DOI 10.1088/1367-2630/11/11/115004
View details for Web of Science ID 000271649300001
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Charge-4e superconductivity from pair-density-wave order in certain high-temperature superconductors
NATURE PHYSICS
2009; 5 (11): 830-833
View details for DOI 10.1038/NPHYS1389
View details for Web of Science ID 000271895500018
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A twisted ladder: relating the Fe superconductors to the high-Tc cuprates
NEW JOURNAL OF PHYSICS
2009; 11
View details for DOI 10.1088/1367-2630/11/8/085007
View details for Web of Science ID 000269488200001
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Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
PHYSICAL REVIEW LETTERS
2009; 103 (4)
Abstract
We investigate the stability of a quadratic band-crossing point (QBCP) in 2D fermionic systems. At the noninteracting level, we show that a QBCP exists and is topologically stable for a Berry flux +/-2pi if the point symmetry group has either fourfold or sixfold rotational symmetries. This putative topologically stable free-fermion QBCP is marginally unstable to arbitrarily weak short-range repulsive interactions. We consider both spinless and spin-1/2 fermions. Four possible ordered states result: a quantum anomalous Hall phase, a quantum spin Hall phase, a nematic phase, and a nematic-spin-nematic phase.
View details for DOI 10.1103/PhysRevLett.103.046811
View details for Web of Science ID 000268307400059
View details for PubMedID 19659389
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Microscopic theory of the nematic phase in Sr3Ru2O7
PHYSICAL REVIEW B
2009; 79 (21)
View details for DOI 10.1103/PhysRevB.79.214402
View details for Web of Science ID 000267699200063
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Algebraic Spin Liquid in an Exactly Solvable Spin Model
PHYSICAL REVIEW LETTERS
2009; 102 (21)
Abstract
We have proposed an exactly solvable quantum spin-3/2 model on a square lattice. Its ground state is a quantum spin liquid with a half-integer spin per unit cell. The fermionic excitations, dubbed as "spinons", are gapless with a linear dispersion, while the topological "vison" excitations are gapped. Moreover, these massless fermionic spinon excitations are topologically stable. Thus, this model is, to the best of our knowledge, the first exactly solvable model of half-integer spins whose ground state is an "algebraic spin liquid."
View details for DOI 10.1103/PhysRevLett.102.217202
View details for Web of Science ID 000266501600048
View details for PubMedID 19519132
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d-Wave to s-wave to normal metal transitions in disordered superconductors
5th International Workshop on Electronic Crystals (ECRYS-2008)
ELSEVIER SCIENCE BV. 2009: 462–65
View details for DOI 10.1016/j.physb.2008.11.062
View details for Web of Science ID 000264227400036
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Theory of the striped superconductor
PHYSICAL REVIEW B
2009; 79 (6)
View details for DOI 10.1103/PhysRevB.79.064515
View details for Web of Science ID 000263815600077
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d-wave to s-wave to normal metal transitions in disordered superconductors
Landau Memorial Conference on Advances in Theoretical Physics
AMER INST PHYSICS. 2009: 89–93
View details for Web of Science ID 000268615300012
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IRON-BASED SUPERCONDUCTORS Unity or diversity?
NATURE MATERIALS
2008; 7 (12): 927-928
View details for DOI 10.1038/nmat2325
View details for Web of Science ID 000261127100007
View details for PubMedID 19029922
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In search of a theory of supercooled liquids
NATURE MATERIALS
2008; 7 (11): 831–33
Abstract
Despite the absence of consensus on a theory of the transition from supercooled liquids to glasses, the experimental observations suggest that a detail-independent theory should exist.
View details for PubMedID 18955990
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Route to high-temperature superconductivity in composite systems
PHYSICAL REVIEW B
2008; 78 (9)
View details for DOI 10.1103/PhysRevB.78.094509
View details for Web of Science ID 000259689700085
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Theory of quantum metal to superconductor transitions in highly conducting systems
PHYSICAL REVIEW B
2008; 77 (21)
View details for DOI 10.1103/PhysRevB.77.214523
View details for Web of Science ID 000257288900108
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Theory of electron nematic order in LaFeAsO
PHYSICAL REVIEW B
2008; 77 (22)
View details for DOI 10.1103/PhysRevB.77.224509
View details for Web of Science ID 000257289300093
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Optimal inhomogeneity for superconductivity: Finite-size studies
PHYSICAL REVIEW B
2008; 77 (21)
View details for DOI 10.1103/PhysRevB.77.214502
View details for Web of Science ID 000257288900087
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Theory of the nodal nematic quantum phase transition in superconductors
PHYSICAL REVIEW B
2008; 77 (18)
View details for DOI 10.1103/PhysRevB.77.184514
View details for Web of Science ID 000256885300095
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Polar Kerr-effect measurements of the high-temperature YBa2Cu3O6+x superconductor: Evidence for broken symmetry near the pseudogap temperature
PHYSICAL REVIEW LETTERS
2008; 100 (12)
Abstract
The polar Kerr effect in the high-T_(c) superconductor YBa2Cu3O6+x was measured at zero magnetic field with high precision using a cyogenic Sagnac fiber interferometer. We observed nonzero Kerr rotations of order approximately 1 microrad appearing near the pseudogap temperature T(*) and marking what appears to be a true phase transition. Anomalous magnetic behavior in magnetic-field training of the effect suggests that time reversal symmetry is already broken above room temperature.
View details for DOI 10.1103/PhysRevLett.100.127002
View details for PubMedID 18517903
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Stability of nodal quasiparticles in superconductors with coexisting orders
PHYSICAL REVIEW LETTERS
2008; 100 (2)
Abstract
We establish a condition for the perturbative stability of zero energy nodal points in the quasiparticle spectrum of superconductors in the presence of coexisting commensurate orders. The nodes are found to be stable if the Hamiltonian is invariant under time reversal followed by a lattice translation. The principle is demonstrated with a few examples. Some experimental implications of various types of assumed order are discussed in the context of the cuprate superconductors.
View details for DOI 10.1103/PhysRevLett.100.027003
View details for Web of Science ID 000252471200074
View details for PubMedID 18232911
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Exact chiral spin liquid with non-Abelian anyons
PHYSICAL REVIEW LETTERS
2007; 99 (24)
Abstract
We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in the familiar honeycomb lattice with a triangle. This CSL state spontaneously breaks time reversal symmetry but preserves other symmetries. There are two topologically distinct CSL's separated by a quantum critical point. Interestingly, vortex excitations in the topologically nontrivial (Chern number +/-1) CSL obey non-Abelian statistics.
View details for DOI 10.1103/PhysRevLett.99.247203
View details for Web of Science ID 000251674300055
View details for PubMedID 18233478
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Superconductivity in zigzag CuO chains
PHYSICAL REVIEW B
2007; 76 (21)
View details for DOI 10.1103/PhysRevB.76.214505
View details for Web of Science ID 000251986100089
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Myriad phases of the checkerboard Hubbard model
PHYSICAL REVIEW B
2007; 76 (16)
View details for DOI 10.1103/PhysRevB.76.161104
View details for Web of Science ID 000250620600004
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Dynamical layer decoupling in a stripe-ordered High-T-c superconductor
PHYSICAL REVIEW LETTERS
2007; 99 (12)
Abstract
In the stripe-ordered state of a strongly correlated two-dimensional electronic system, under a set of special circumstances, the superconducting condensate, like the magnetic order, can occur at a nonzero wave vector corresponding to a spatial period double that of the charge order. In this case, the Josephson coupling between near neighbor planes, especially in a crystal with the special structure of La(2-x)Ba(x)CuO(4), vanishes identically. We propose that this is the underlying cause of the dynamical decoupling of the layers recently observed in transport measurements at x = 1/8.
View details for DOI 10.1103/PhysRevLett.99.127003
View details for Web of Science ID 000249668000068
View details for PubMedID 17930544
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On the absence of ferromagnetism in typical 2D ferromagnets
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2007; 274 (1): 217-231
View details for DOI 10.1007/s00220-007-0260-0
View details for Web of Science ID 000247929400008
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Electron nematic phase in a transition metal oxide
SCIENCE
2007; 315 (5809): 196–97
View details for DOI 10.1126/science.1137172
View details for Web of Science ID 000243407400032
View details for PubMedID 17218515
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Theory of stripes in quasi-two-dimensional rare-earth tellurides
PHYSICAL REVIEW B
2006; 74 (24)
View details for DOI 10.1103/PhysRevB.74.245126
View details for Web of Science ID 000243195800041
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Inferring effective interactions from the local density of states: Application to STM data from Bi2Sr2CaCu2O8+delta
PHYSICAL REVIEW B
2006; 74 (17)
View details for DOI 10.1103/PhysRevB.74.174521
View details for Web of Science ID 000242409000127
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Distinguishing patterns of charge order: Stripes or checkerboards
PHYSICAL REVIEW B
2006; 74 (13)
View details for DOI 10.1103/PhysRevB.74.134507
View details for Web of Science ID 000241723200089
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Transport in two dimensional electronic micro-emulsions
ANNALS OF PHYSICS
2006; 321 (9): 2071-2115
View details for DOI 10.1016/j.aop.2005.12.002
View details for Web of Science ID 000240245700003
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Magnetic model of the tetragonal-orthorhombic transition in the cuprates
PHYSICAL REVIEW B
2006; 74 (9)
View details for DOI 10.1103/PhysRevE.74.094508
View details for Web of Science ID 000240871700072
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Superconductivity in inhomogeneous Hubbard models
PHYSICAL REVIEW B
2006; 73 (21)
View details for DOI 10.1103/PhysRevB.73.214510
View details for Web of Science ID 000238696200122
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Superconducting materials: Superconductivity on the verge of catastrophe
NATURE MATERIALS
2006; 5 (5): 343–44
View details for DOI 10.1038/nmat1638
View details for Web of Science ID 000237273500009
View details for PubMedID 16652115
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Hysteresis and noise from electronic nematicity in high-temperature superconductors
PHYSICAL REVIEW LETTERS
2006; 96 (9)
Abstract
An electron nematic is a translationally invariant state which spontaneously breaks the discrete rotational symmetry of a host crystal. In a clean square lattice, the electron nematic has two preferred orientations, while dopant disorder favors one or the other orientations locally. In this way, the electron nematic in a host crystal maps to the random field Ising model. Since the electron nematic has anisotropic conductivity, we associate each Ising configuration with a resistor network and use what is known about the random field Ising model to predict new ways to test for local electronic nematic order (nematicity) using noise and hysteresis. In particular, we have uncovered a remarkably robust linear relation between the orientational order and the resistance anisotropy which holds over a wide range of circumstances.
View details for DOI 10.1103/PhysRevLett.96.097003
View details for Web of Science ID 000235905700056
View details for PubMedID 16606299
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Gap-inhomogeneity-induced electronic states in superconducting Bi2Sr2CaCu2O8+delta
PHYSICAL REVIEW LETTERS
2006; 96 (1)
Abstract
In this Letter, we analyze, using scanning tunneling spectroscopy, the density of electronic states in nearly optimally doped Bi2Sr2CaCu2O(8+delta) in zero magnetic field. Focusing on the superconducting gap, we find patches of what appear to be two different phases in a background of some average gap, one with a relatively small gap and sharp large coherence peaks and one characterized by a large gap with broad weak coherence peaks. We compare these spectra with calculations of the local density of states for a simple phenomenological model in which a 2xi0 x 2xi0 patch with an enhanced or suppressed d-wave gap amplitude is embedded in a region with a uniform average d-wave gap.
View details for DOI 10.1103/PhysRevLett.96.017007
View details for Web of Science ID 000234608300081
View details for PubMedID 16486504
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The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
JOURNAL OF PHYSICS-CONDENSED MATTER
2005; 17 (50): R1143-R1182
View details for DOI 10.1088/0953-8984/17/50/R01
View details for Web of Science ID 000234324200002
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Transport in two dimensional electronic micro-emulsions
International Workshop on Electronic Crystals (ECRYS-2005)
EDP SCIENCES S A. 2005: 255–256
View details for DOI 10.1051/jp4:2005131064
View details for Web of Science ID 000234492600065
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Enhancement of superconductivity by local inhomogeneities
PHYSICAL REVIEW B
2005; 72 (6)
View details for DOI 10.1103/PhysRevB.72.060502
View details for Web of Science ID 000231564400018
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Drag resistance of two-dimensional electronic microemulsions
PHYSICAL REVIEW B
2005; 72 (4)
View details for DOI 10.1103/PhysRevB.72.045355
View details for Web of Science ID 000230890300138
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Surface pinning of fluctuating charge order: An extraordinary surface phase transition
PHYSICAL REVIEW B
2005; 71 (22)
View details for DOI 10.1103/PhysRevB.71.224512
View details for Web of Science ID 000230276700100
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Competition between charge-density waves and superconductivity in striped systems
International Conference on Strongly Correlated Electron Systems (SCES 04)
ELSEVIER SCIENCE BV. 2005: 623–625
View details for DOI 10.1016/j.physb.2005.01.171
View details for Web of Science ID 000229654400194
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Universal aspects of coulomb-frustrated phase separation
PHYSICAL REVIEW LETTERS
2005; 94 (5)
Abstract
We study the consequences of Coulomb interactions on a system undergoing a putative first order phase transition. In two dimensions (2D), near the critical density, the system is universally unstable to the formation of new intermediate phases, which we call "electronic microemulsion phases," which consist of an intermediate scale mixture of regions of the two competing phases. A corollary is that there can be no direct transition as a function of density from a 2D Wigner crystal to a uniform electron liquid. In 3D, if the strength of the Coulomb interactions exceeds a critical value, no phase separation occurs, while for the weaker Coulomb strength electronic microemulsions are inevitable. This tendency is considerably more pronounced in anisotropic (quasi-2D or quasi-1D) systems, where a devil's staircase of transitions is possible.
View details for DOI 10.1103/PhysRevPlett.94.056805
View details for Web of Science ID 000226941500064
View details for PubMedID 15783677
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Spectral function of a Luttinger liquid coupled to phonons and angle-resolved photoemission measurements in the cuprate superconductors
PHYSICAL REVIEW B
2005; 71 (1)
View details for DOI 10.1103/PhysRevB.71.014524
View details for Web of Science ID 000226735100150
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Phases intermediate between a two-dimensional electron liquid and Wigner crystal
PHYSICAL REVIEW B
2004; 70 (15)
View details for DOI 10.1103/PhysRevB.70.155114
View details for Web of Science ID 000224855900034
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Mechanism of high-temperature superconductivity in a striped Hubbard model
PHYSICAL REVIEW B
2004; 69 (21)
View details for DOI 10.1103/PhysRevB.69.214519
View details for Web of Science ID 000222530200102
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Quasi-one-dimensional dynamics and nematic phases in the two-dimensional Emery model
PHYSICAL REVIEW B
2004; 69 (14)
View details for DOI 10.1103/PhysRevB.69.144505
View details for Web of Science ID 000221426200086
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Incipient order in the t-j model at high temperatures
PHYSICAL REVIEW LETTERS
2004; 92 (6)
Abstract
We analyze the high-temperature behavior of the susceptibilities towards a number of possible ordered states in the t-J-V model using the high-temperature series expansion. From all diagrams with up to ten edges, reliable results are obtained down to temperatures of order J, or (with some optimism) to J/2. In the unphysical regime, t
J, these susceptibilities are small and decreasing with decreasing temperature; this suggests that the t-J model does not support high-temperature superconductivity. We also find modest evidence of a tendency toward nematic and d-density wave orders. View details for DOI 10.1103/PhysRevLett.92.067002
View details for Web of Science ID 000188947700045
View details for PubMedID 14995263
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Order by disorder, without order, in a two-dimensional spin system with O(2) symmetry
ANNALES HENRI POINCARE
2004; 5 (6): 1181-1205
View details for DOI 10.1007/s00023-004-0196-2
View details for Web of Science ID 000226092600009
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Optimal inhomogeneity for superconductivity
PHYSICAL REVIEW B
2003; 68 (18)
View details for DOI 10.1103/PhysRevB.68.180503
View details for Web of Science ID 000187004300012
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How to detect fluctuating stripes in the high-temperature superconductors
REVIEWS OF MODERN PHYSICS
2003; 75 (4): 1201-1241
View details for Web of Science ID 000186757200004
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Two classes of Mott insulator
PHYSICAL REVIEW B
2003; 67 (2)
View details for DOI 10.1103/PhysRevB.67.024506
View details for Web of Science ID 000180918900089
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Stripes, electron fractionalization, and ARPES
International Conference on Spectroscopies in Novel Superconductors (SNS 2001)
PERGAMON-ELSEVIER SCIENCE LTD. 2002: 2213–18
View details for Web of Science ID 000179861900015
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Where do holes go in doped antiferromagnets and what is their relationship to superconductivity?
International Conference on Spectroscopies in Novel Superconductors (SNS 2001)
PERGAMON-ELSEVIER SCIENCE LTD. 2002: 2207–12
View details for Web of Science ID 000179861900014
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Competing order in the mixed state of high-temperature superconductors
PHYSICAL REVIEW B
2002; 66 (14)
View details for DOI 10.1103/PhysRevB.66.144516
View details for Web of Science ID 000179080600092
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Spin-1 neutron resonance peak cannot account for electronic anomalies in the cuprate superconductors
PHYSICAL REVIEW LETTERS
2002; 88 (25)
Abstract
In certain cuprates, a spin-1 resonance mode is prominent in the magnetic structure measured by neutron scattering. It has been proposed that this mode is responsible for significant features seen in other spectroscopies, such as photoemission and optical absorption, which are sensitive to the charge dynamics, and even that this mode is the boson responsible for "mediating" the superconducting pairing. We show that its small (measured) intensity and weak coupling to electron-hole pairs (as deduced from the measured lifetime) disqualifies the resonant mode from either proposed role.
View details for DOI 10.1103/PhysRevLett.88.257002
View details for Web of Science ID 000176554800044
View details for PubMedID 12097119
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Theory of the quantum Hall smectic phase. I. Low-energy properties of the quantum Hall smectic fixed point
PHYSICAL REVIEW B
2002; 65 (24)
View details for DOI 10.1103/PhysRevB.65.245319
View details for Web of Science ID 000177043100078
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Josephson tunneling spectroscopy of negative-U centers
PHYSICAL REVIEW B
2002; 65 (17)
View details for DOI 10.1103/PhysRevB.65.172504
View details for Web of Science ID 000175619600033
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Distribution of spectral weight in a system with disordered stripes
PHYSICAL REVIEW B
2002; 65 (18)
View details for DOI 10.1103/PhysRevB.65.184501
View details for Web of Science ID 000175758700090
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Stripes and superconducting pairing in the t-J model with Coulomb interactions
PHYSICAL REVIEW B
2002; 65 (13)
View details for DOI 10.1103/PhysRevB.65.134503
View details for Web of Science ID 000174903900124
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Self-organized quasi-one dimensional structures in high-temperature superconductors: The stripe phase
Spring Meeting of the Deutsche-Physikalische-Gesellschaft
SPRINGER-VERLAG BERLIN. 2002: 307–318
View details for Web of Science ID 000178337200024
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Quantum theory of a nematic Fermi fluid
PHYSICAL REVIEW B
2001; 64 (19)
View details for Web of Science ID 000172307900043
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Nodal quasiparticles in stripe ordered superconductors
PHYSICAL REVIEW LETTERS
2001; 87 (16)
Abstract
We study the properties of a quasi-one-dimensional superconductor which consists of an alternating array of two inequivalent chains. This model is a simple caricature of a striped high temperature superconductor, and is more generally a theoretically controllable system in which the superconducting state emerges from a non-Fermi-liquid normal state. Even in this limit, " d-wave-like" order parameter symmetry is natural, but the superconducting state can either have a complete gap in the quasiparticle spectrum, or gapless "nodal" quasiparticles. We also find circumstances in which antiferromagnetic order (typically incommensurate) coexists with superconductivity.
View details for DOI 10.1103/PhysRevLett.87.167011
View details for Web of Science ID 000171637100048
View details for PubMedID 11690235
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Thermodynamics of the interplay between magnetism and high-temperature superconductivity
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
2001; 98 (21): 11903-11907
Abstract
Copper-oxide-based high-temperature superconductors have complex phase diagrams with multiple ordered phases. It even appears that the highest superconducting transition temperatures for certain cuprates are found in samples that display simultaneous onset of magnetism and superconductivity. We show here how the thermodynamics of fluid mixtures-a touchstone for chemistry as well as hard and soft condensed matter physics-accounts for this startling observation, as well as many other properties of the cuprates in the vicinity of the instability toward "striped" magnetism.
View details for Web of Science ID 000171558900017
View details for PubMedID 11593001
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Electronic mechanism of superconductivity in the cuprates, C-60, and polyacenes
PHYSICAL REVIEW B
2001; 64 (6)
View details for Web of Science ID 000170414000071
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Evidence of electron fractionalization from photoemission spectra in the high temperature superconductors
PHYSICAL REVIEW LETTERS
2001; 86 (19): 4362-4365
Abstract
In the normal state of the high temperature superconductors Bi(2)Sr(2)CaCu(2)O(8+delta) and La2(-x)Sr(x)CuO4, and in the related "stripe ordered" material, La(1.25)Nd(0.6)Sr(0.15)CuO4, there is sharp structure in the measured single hole spectral function, A<(k-->,omega), considered as a function of k--> at fixed small binding energy omega. At the same time, as a function of omega at fixed k--> on much of the putative Fermi surface, any structure in A<(k-->,omega), other than the Fermi cutoff, is very broad. This is characteristic of the situation in which there are no stable excitations with the quantum numbers of the electron, as is the case in the one-dimensional electron gas.
View details for Web of Science ID 000168591000043
View details for PubMedID 11328175
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Effects of dissipation on quantum phase transitions
PHYSICAL REVIEW B
2001; 63 (12)
View details for Web of Science ID 000167806600089
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Quantum theory of the smectic metal state in stripe phases
PHYSICAL REVIEW LETTERS
2000; 85 (10): 2160-2163
View details for Web of Science ID 000089065400031
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Dimensional crossover in quasi-one-dimensional and high-T-c superconductors
PHYSICAL REVIEW B
2000; 62 (5): 3422-3437
View details for Web of Science ID 000088714200076
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Are there stripes in the ET materials?
20th Anniversary of Organic Superconductivity
EDP SCIENCES S A. 2000: 127–37
View details for Web of Science ID 000086376700013
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Charge inhomogeneity and high temperature superconductivity
International Workshop on Inelastic X-ray Scattering
PERGAMON-ELSEVIER SCIENCE LTD. 2000: 467–71
View details for Web of Science ID 000085474100028
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Nematic phase of the two-dimensional electron gas in a magnetic field
PHYSICAL REVIEW LETTERS
2000; 84 (9): 1982-1985
View details for Web of Science ID 000085588400034
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Charge-ordered states in doped AFMs: Long-range "Casimir" attraction and instability
2nd International Conference on Stripes and High Tc Superconductivity
KLUWER ACADEMIC/PLENUM PUBL. 2000: 447–453
View details for Web of Science ID 000167093900056
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Microscopic theory of high-temperature superconductivity
2nd International Conference on Stripes and High Tc Superconductivity
KLUWER ACADEMIC/PLENUM PUBL. 2000: 69–75
View details for Web of Science ID 000167093900008
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Stripe liquid, crystal, and glass phases of doped antiferromagnets
2nd International Conference on Stripes and High Tc Superconductivity
KLUWER ACADEMIC/PLENUM PUBL. 2000: 91–100
View details for Web of Science ID 000167093900011
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Electronic structure of doped insulators and high temperature superconductivity
International Conference on Physics and Chemistry of Molecular and Oxide Superconductors (MOS-99)
SPRINGER/PLENUM PUBLISHERS. 1999: 189–98
View details for Web of Science ID 000084373900003
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Topological doping and the stability of stripe phases
PHYSICAL REVIEW B
1999; 60 (10): 7541-7557
View details for Web of Science ID 000082777800082
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Stripe phases in high-temperature superconductors
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
1999; 96 (16): 8814-8817
Abstract
Stripe phases are predicted and observed to occur in a class of strongly correlated materials describable as doped antiferromagnets, of which the copper-oxide superconductors are the most prominent representatives. The existence of stripe correlations necessitates the development of new principles for describing charge transport and especially superconductivity in these materials.
View details for Web of Science ID 000081835500006
View details for PubMedID 10430848
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Avoided critical behavior in O(n) systems
PHYSICAL REVIEW LETTERS
1999; 83 (3): 472-475
View details for Web of Science ID 000081447100003
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Classical phase fluctuations in high temperature superconductors
PHYSICAL REVIEW LETTERS
1999; 83 (3): 612-615
View details for Web of Science ID 000081447100038
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Classification and stability of phases of the multicomponent one-dimensional electron gas
PHYSICAL REVIEW B
1999; 59 (24): 15641-15653
View details for Web of Science ID 000081134700014
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Wigner glass, spin liquids and the metal-insulator transition
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES
1999; 79 (6): 859-868
View details for Web of Science ID 000080687600003
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Liquid-crystal phases of quantum Hall systems
PHYSICAL REVIEW B
1999; 59 (12): 8065-8072
View details for Web of Science ID 000079514300046
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Local electronic structure and high temperature superconductivity.
Conference on High Temperature Superconductivity
AMER INST PHYSICS. 1999: 37–44
View details for Web of Science ID 000083461600006
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Crossovers and phase coherence in cuprate superconductors
International Conference on Spectroscopies in Novel Superconductors (SNS'97)
PERGAMON-ELSEVIER SCIENCE LTD. 1998: 1705–10
View details for Web of Science ID 000077460500008
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Instability of charge ordered states in doped antiferromagnets
PHYSICAL REVIEW LETTERS
1998; 80 (25): 5651-5654
View details for Web of Science ID 000074313000048
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Doped antiferromagnets in high dimension
PHYSICAL REVIEW B
1998; 57 (23): 14704-14721
View details for Web of Science ID 000074273500031
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Electronic liquid-crystal phases of a doped Mott insulator
NATURE
1998; 393 (6685): 550-553
View details for Web of Science ID 000074150100044
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Landau theory of stripe phases in cuprates and nickelates
PHYSICAL REVIEW B
1998; 57 (3): 1422-1426
View details for Web of Science ID 000071716800031
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Spin-gap proximity effect mechanism of high-temperature superconductivity
PHYSICAL REVIEW B
1997; 56 (10): 6120-6147
View details for Web of Science ID A1997XY59500061
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Pairing and phase coherence in high temperature superconductors
International Conference on Materials and Mechanisms of Superconductivity - High Temperature Superconductors V
ELSEVIER SCIENCE BV. 1997: 174–177
View details for Web of Science ID A1997XZ90400048
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High-temperature pairing in stripes
International Conference on Stripes, Lattice Stabilities, and High-Temperature Superconductivity
SPRINGER/PLENUM PUBLISHERS. 1997: 373–78
View details for Web of Science ID A1997YD61800021
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Composite-fermion Hall conductance at v=1/2
PHYSICAL REVIEW B
1997; 55 (23): 15552-15561
View details for Web of Science ID A1997XH33500046
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Two point-contact interferometer for quantum Hall systems
PHYSICAL REVIEW B
1997; 55 (4): 2331-2343
View details for Web of Science ID A1997WF12400056
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Frustration-limited domain theory of supercooled liquids and the glass transition
Symposium on Supercooled Liquids - Advances and Novel Applications, at the 212th National Meeting of the American-Chemical-Society
AMER CHEMICAL SOC. 1997: 67–81
View details for Web of Science ID A1997BJ91B00005
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A viewpoint, model and theory for supercooled liquids
International Seminar on the Dynamics of Glass Transition and Related Topics
PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE. 1997: 289–99
View details for Web of Science ID A1997XK52400054
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Reply to "Comment on 'Fitting of viscosity: Distinguishing the temperature dependences predicted by various models of supercooled liquids' "
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
1996; 54 (5): 5873-5874
View details for PubMedID 9965787
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Textured edges in quantum Hall systems
PHYSICAL REVIEW LETTERS
1996; 77 (10): 2061-2064
View details for Web of Science ID A1996VE35100038
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Modular invariance, self-duality and the phase transition between quantum Hall plateaus
NUCLEAR PHYSICS B
1996; 474 (3): 543-574
View details for Web of Science ID A1996VE20000001
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Exact results for a 1D Kondo lattice from bosonization
PHYSICAL REVIEW LETTERS
1996; 77 (7): 1342-1345
View details for Web of Science ID A1996VB33000038
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Metallic stripes in high-temperature superconductors
JOURNAL OF SUPERCONDUCTIVITY
1996; 9 (4): 401-406
View details for Web of Science ID A1996VK55100013
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Implications of charge ordering for single-particle properties of high-T-c superconductors
PHYSICAL REVIEW LETTERS
1996; 77 (1): 155-158
View details for Web of Science ID A1996UU47500040
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Topological doping of correlated insulators
SYNTHETIC METALS
1996; 80 (2): 151-158
View details for Web of Science ID A1996VL36300010
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Paired states in the even integer quantum Hall effect.
Physical review. B, Condensed matter
1996; 53 (20): R13275-R13278
View details for PubMedID 9983166
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Charge ordering in high-temperature superconductors
International Symposium on Frontiers of High -T(c) Superconductivity
ELSEVIER SCIENCE BV. 1996: 44–48
View details for Web of Science ID A1996UW98600010
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Electrons in flatland
SCIENTIFIC AMERICAN
1996; 274 (3): 86-91
View details for Web of Science ID A1996TW01300035
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Avoided critical behavior in a uniformly frustrated system
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
1996; 225 (1): 129-153
View details for Web of Science ID A1996TY82200007
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Fitting of viscosity: Distinguishing the temperature dependences predicted by various models of supercooled liquids
PHYSICAL REVIEW E
1996; 53 (1): 751-758
View details for Web of Science ID A1996TR11900005
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A THERMODYNAMIC THEORY OF SUPERCOOLED LIQUIDS
PHYSICA A
1995; 219 (1-2): 27-38
View details for Web of Science ID A1995RU51000003
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SUPERCONDUCTIVITY IN BAD METALS
PHYSICAL REVIEW LETTERS
1995; 74 (16): 3253-3256
View details for Web of Science ID A1995QT44900041
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IMPORTANCE OF PHASE FLUCTUATIONS IN SUPERCONDUCTORS WITH SMALL SUPERFLUID DENSITY
NATURE
1995; 374 (6521): 434-437
View details for Web of Science ID A1995QP89900052
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METALLIC SCREENING AND CORRELATION-EFFECTS IN SUPERCONDUCTING FULLERENES
PHYSICAL REVIEW LETTERS
1995; 74 (6): 996-999
View details for Web of Science ID A1995QE48700042
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COLLECTIVE CHARGE-TRANSPORT IN HIGH-TEMPERATURE SUPERCONDUCTORS
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS
1994; 235: 189-192
View details for Web of Science ID A1994QA39000051
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2-PHASE COEXISTENCE AND SEMIMETALLIC STATES IN CONDUCTING POLYMERS
PHYSICAL REVIEW B
1994; 50 (19): 13962-13973
View details for Web of Science ID A1994PV10700004
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FRUSTRATION-LIMITED CLUSTERS IN LIQUIDS
JOURNAL OF CHEMICAL PHYSICS
1994; 101 (3): 2391-2397
View details for Web of Science ID A1994NY00200067
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STRATEGIES FOR FINDING SUPERCONDUCTIVITY IN CONDUCTING POLYMERS
Workshop on the Metallic Phase of Conducting Polymers
ELSEVIER SCIENCE SA. 1994: 249–54
View details for Web of Science ID A1994PD07600018
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STUDY OF AN ISING-MODEL WITH COMPETING LONG-RANGE AND SHORT-RANGE INTERACTIONS
PHYSICAL REVIEW LETTERS
1994; 72 (12): 1918-1921
View details for Web of Science ID A1994NB62200036
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ELECTRONIC PHASE-SEPARATION AND HIGH-TEMPERATURE SUPERCONDUCTORS
Conference on Strongly Correlated Electronic Materials: The Los Alamos Symposium 1993
ADDISON-WESLEY PUBL CO. 1994: 619–656
View details for Web of Science ID A1994BC51Q00037
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PROPERTIES OF AN ORBITAL KONDO ARRAY
Conference on Strongly Correlated Electronic Materials: The Los Alamos Symposium 1993
ADDISON-WESLEY PUBL CO. 1994: 669–672
View details for Web of Science ID A1994BC51Q00039
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DYNAMICAL IMPURITY PROBLEMS
8th International Summer School on Fundamental Problems in Statistical Mechanics
ELSEVIER SCIENCE PUBL B V. 1994: 1–26
View details for Web of Science ID A1994BC39D00001
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SOLUTION OF AN ORBITAL KONDO ARRAY
PHYSICAL REVIEW LETTERS
1993; 71 (22): 3701-3704
View details for Web of Science ID A1993MJ83700022
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ELECTRONIC CORRELATIONS AND ELECTRON-PHONON COUPLING IN C-60
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
1993; 7 (15): 2859-2884
View details for Web of Science ID A1993LK17700007
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QUANTUM PERCOLATION AND PLATEAU TRANSITIONS IN THE QUANTUM HALL-EFFECT
PHYSICAL REVIEW LETTERS
1993; 70 (26): 4130-4133
View details for Web of Science ID A1993LJ82700026
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SKYRMIONS AND THE CROSSOVER FROM THE INTEGER TO FRACTIONAL QUANTUM HALL-EFFECT AT SMALL ZEEMAN ENERGIES
PHYSICAL REVIEW B
1993; 47 (24): 16419-16426
View details for Web of Science ID A1993LJ15600044
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FRUSTRATED ELECTRONIC PHASE-SEPARATION AND HIGH-TEMPERATURE SUPERCONDUCTORS
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS
1993; 209 (4): 597-621
View details for Web of Science ID A1993LA81400037
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2-PHASE COEXISTENCE IN THE METALLIC STATE OF POLYACETYLENE
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT
1993: 53-60
View details for Web of Science ID A1993MD82700006
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THE METALLIC STATE OF HEAVILY DOPED CONDUCTING POLYMERS
Nobel Symposium on Conjugated Polymers and Related Materials: The Interconnection of Chemical and Electronic Structure
OXFORD UNIVERSITY PRESS. 1993: 247–259
View details for Web of Science ID A1993BB87Y00018
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LOW-ENERGY PHYSICS OF HIGH-TEMPERATURE SUPERCONDUCTORS
JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS
1992; 53 (12): 1499-1506
View details for Web of Science ID A1992KE86300005
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LONG-RANGE INTERACTIONS AND THE QUANTUM HALL-EFFECT
PHYSICAL REVIEW B
1992; 46 (20): 13319-13325
View details for Web of Science ID A1992KA57700045
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MAPPING OF THE 2-CHANNEL KONDO PROBLEM TO A RESONANT-LEVEL MODEL
PHYSICAL REVIEW B
1992; 46 (17): 10812-10817
View details for Web of Science ID A1992JW97600039
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ZERO-TEMPERATURE HALL-COEFFICIENT OF AN INSULATOR
PHYSICAL REVIEW LETTERS
1992; 69 (8): 1252-1255
View details for Web of Science ID A1992JK42600028
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Comment on "Electron-phonon coupling and superconductivity in alkali-intercalated C60 solid"
Physical review letters
1992; 69 (1): 212-?
View details for PubMedID 10046227
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METAL NONMETAL TRANSITION IN POLYACETYLENE
SYNTHETIC METALS
1991; 44 (3): 281-291
View details for Web of Science ID A1991GK36500005
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Reply to "Neutral-fermion-soliton statistics in the short-range resonating-valence-bond state: A reevaluation"
Physical review. B, Condensed matter
1989; 40 (10): 7343-7344
View details for PubMedID 9991137
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Jain and Kivelson reply.
Physical review letters
1989; 62 (2): 231-?
View details for PubMedID 10039958
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SUPERCONDUCTIVITY AND THE QUANTUM HARD-CORE DIMER GAS
PHYSICAL REVIEW LETTERS
1988; 61 (20): 2376-2379
View details for Web of Science ID A1988Q882500025
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2E OR NOT 2E - FLUX-QUANTIZATION IN THE RESONATING VALENCE BOND STATE
EUROPHYSICS LETTERS
1988; 6 (4): 353-358
View details for Web of Science ID A1988N933300013
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THE LOW-TEMPERATURE PROPERTIES OF A SHORT-RANGED RESONATING-VALENCE-BOND SUPERCONDUCTOR
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS
1988; 153: 531-537
View details for Web of Science ID A1988P410000231
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Effect of quasiparticle tunneling on quantum-phase fluctuations and the onset of superconductivity in granular films.
Physical review. B, Condensed matter
1987; 35 (13): 7256-7259
View details for PubMedID 9941017