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


Administrative Appointments


  • Prabhu Goel Family Professor of Physics, Stanford University (2012 - Present)
  • Professor, Physics, Stanford University (2004 - Present)
  • Editor in Chief, Nature Partner Journal Quantum Materials (2016 - Present)
  • Professor, Physics and Astronomy, UCLA (1988 - 2004)
  • Professor of Physics, State University of New York at Stony Brook (1988 - 1989)
  • Associate Professor of Physics, State University of New York at Stony Brook (1986 - 1988)
  • Assistant Professor of Physics, State University of New York (1982 - 1986)

Professional Education


  • 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.)

Stanford Advisees


All Publications


  • "Quantum Geometric Nesting" and Solvable Model Flat-Band Systems PHYSICAL REVIEW X Han, Z., Herzog-Arbeitman, J., Bernevig, B., Kivelson, S. A. 2024; 14 (4)
  • Anomalous Landau Level Gaps Near Magnetic Transitions in Monolayer WSe2 PHYSICAL REVIEW X Foutty, B. A., Calvera, V., Han, Z., Kometter, C. R., Liu, S., Watanabe, K., Taniguchi, T., Hone, J. C., Kivelson, S. A., Feldman, B. E. 2024; 14 (3)
  • Anomalous Superfluid Density in a Disordered Charge-Density-Wave Material: Pd-Intercalated ErTe_{3}. Physical review letters Iguchi, Y., Straquadine, J. A., Murthy, C., Kivelson, S. A., Singh, A. G., Fisher, I. R., Moler, K. A. 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

  • Anomalous Superfluid Density in a Disordered Charge-Density-Wave Material: Pd-Intercalated ErTe<sub>3</sub> PHYSICAL REVIEW LETTERS Iguchi, Y., Straquadine, J. A., Murthy, C., Kivelson, S. A., Singh, A. G., Fisher, I. R., Moler, K. A. 2024; 133 (3)
  • Nematic Metal in a Multivalley Electron Gas: Variational Monte Carlo Analysis and Application to AlAs. Physical review letters Valenti, A., Calvera, V., Kivelson, S. A., Berg, E., Huber, S. D. 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

  • Nematic Metal in a Multivalley Electron Gas: Variational Monte Carlo Analysis and Application to AlAs PHYSICAL REVIEW LETTERS Valenti, A., Calvera, V., Kivelson, S. A., Berg, E., Huber, S. D. 2024; 132 (26)
  • Dynamical defects in a two-dimensional Wigner crystal: Self-doping and kinetic magnetism PHYSICAL REVIEW B Kim, K., Esterlis, I., Murthy, C., Kivelson, S. A. 2024; 109 (23)
  • Quantum Bipolaron Superconductivity from Quadratic Electron-Phonon Coupling. Physical review letters Han, Z., Kivelson, S. A., Volkov, P. A. 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

  • Emergent tetragonality in a fundamentally orthorhombic material. Science advances Singh, A. G., Bachmann, M. D., Sanchez, J. J., Pandey, A., Kapitulnik, A., Kim, J. W., Ryan, P. J., Kivelson, S. A., Fisher, I. R. 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

  • Thermal transport measurements through the charge density wave transition in CsV 3 Sb 5 PHYSICAL REVIEW B Kountz, E. D., Murthy, C. R., Chen, D., Ye, L., Zic, M. P., Felser, C., Fisher, I. R., Kivelson, S. A., Kapitulnik, A. 2024; 109 (20)
  • 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 Kivelson, S. A., Michelson, P. F. 2023; 120 (48): e2314168120

    View details for DOI 10.1073/pnas.2314168120

    View details for PubMedID 37991943

  • Emergent Z2 symmetry near a charge density wave multicritical point PHYSICAL REVIEW B Kivelson, S. A., Pandey, A., Singh, A. G., Kapitulnik, A., Fisher, I. R. 2023; 108 (20)
  • Two-fluid theory of composite bosons and fermions and the quantum Hall proximity effect PHYSICAL REVIEW B Han, Z., Kim, K., Kivelson, S. A., Hansson, T. 2023; 108 (19)
  • Superconducting valence bond fluid in lightly doped eight-leg t-J cylinders PHYSICAL REVIEW B Jiang, H., Kivelson, S. A., Lee, D. 2023; 108 (5)
  • Multiband mean-field theory of the d plus ig superconductivity scenario in Sr2RuO4 PHYSICAL REVIEW B Yuan, A. C., Berg, E., Kivelson, S. A. 2023; 108 (1)
  • Pseudo-spin order of Wigner crystals in multi-valley electron gases LOW TEMPERATURE PHYSICS Calvera, V., Kivelson, S. A., Berg, E. 2023; 49 (6): 679-700

    View details for DOI 10.1063/10.0019425

    View details for Web of Science ID 001023143800007

  • 50 years of quantum spin liquids NATURE REVIEWS PHYSICS Kivelson, S., Sondhi, S. 2023
  • Absence of a BCS-BEC crossover in the cuprate superconductors NPJ QUANTUM MATERIALS Sous, J., He, Y., Kivelson, S. A. 2023; 8 (1)
  • Resonating Valence Bond States in an Electron-Phonon System. Physical review letters Han, Z., Kivelson, S. A. 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

  • One-dimensional Holstein model revisited PHYSICAL REVIEW B Zhao, S., Han, Z., Kivelson, S. A., Esterlis, I. 2023; 107 (7)
  • How quantum phases on cylinders approach the two-dimensional limit PHYSICAL REVIEW B Gannot, Y., Kivelson, S. A. 2023; 107 (7)
  • 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 Murthy, C., Pandey, A., Esterlis, I., Kivelson, S. A. 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

  • Interstitial-Induced Ferromagnetism in a Two-Dimensional Wigner Crystal. Physical review letters Kim, K. S., Murthy, C., Pandey, A., Kivelson, S. A. 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

  • Large extrinsic phonon thermal Hall effect from resonant scattering PHYSICAL REVIEW B Sun, X., Chen, J., Kivelson, S. A. 2022; 106 (14)
  • Heuristic bounds on superconductivity and how to exceed them NPJ QUANTUM MATERIALS Hofmann, J. S., Chowdhury, D., Kivelson, S. A., Berg, E. 2022; 7 (1)
  • Quantum critical fluctuations in an Fe-based superconductor COMMUNICATIONS PHYSICS Jost, D., Peis, L., He, G., Baum, A., Gepraegs, S., Palmstrom, J. C., Ikeda, M. S., Fisher, I. R., Wolf, T., Lederer, S., Kivelson, S. A., Hackl, R. 2022; 5 (1)
  • Correlated Hofstadter spectrum and flavour phase diagram in magic-angle twisted bilayer graphene NATURE PHYSICS Yu, J., Foutty, B. A., Han, Z., Barber, M. E., Schattner, Y., Watanabe, K., Taniguchi, T., Phillips, P., Shen, Z., Kivelson, S. A., Feldman, B. E. 2022
  • Generic character of charge and spin density waves in superconducting cuprates. Proceedings of the National Academy of Sciences of the United States of America Lee, S., Huang, E. W., Johnson, T. A., Guo, X., Husain, A. A., Mitrano, M., Lu, K., Zakrzewski, A. V., de la Peña, G. A., Peng, Y., Huang, H., Lee, S. J., Jang, H., Lee, J. S., Joe, Y. I., Doriese, W. B., Szypryt, P., Swetz, D. S., Chi, S., Aczel, A. A., MacDougall, G. J., Kivelson, S. A., Fradkin, E., Abbamonte, P. 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

  • Pair density wave and reentrant superconducting tendencies originating from valley polarization PHYSICAL REVIEW B Han, Z., Kivelson, S. A. 2022; 105 (10)
  • Pair-density-wave in the strong coupling limit of the Holstein-Hubbard model NPJ QUANTUM MATERIALS Huang, K. S., Han, Z., Kivelson, S. A., Yao, H. 2022; 7 (1)
  • Stripe order enhanced superconductivity in the Hubbard model. Proceedings of the National Academy of Sciences of the United States of America Jiang, H., Kivelson, S. A. 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

  • The Hubbard Model ANNUAL REVIEW OF CONDENSED MATTER PHYSICS Arovas, D. P., Berg, E., Kivelson, S. A., Raghu, S. 2022; 13: 239-274
  • Elastocaloric signature of nematic fluctuations. Proceedings of the National Academy of Sciences of the United States of America Ikeda, M. S., Worasaran, T., Rosenberg, E. W., Palmstrom, J. C., Kivelson, S. A., Fisher, I. R. 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

  • High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid PHYSICAL REVIEW LETTERS Jiang, H., Kivelson, S. A. 2021; 127 (9)
  • High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid. Physical review letters Jiang, H. C., Kivelson, S. A. 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

  • Strain-induced time reversal breaking and half quantum vortices near a putative superconducting tetracritical point in Sr2RuO4 PHYSICAL REVIEW B Yuan, A. C., Berg, E., Kivelson, S. A. 2021; 104 (5)
  • Nematic antiferromagnetism and deconfined criticality from the interplay between electron-phonon and electron-electron interactions PHYSICAL REVIEW B Wang, C., Schattner, Y., Kivelson, S. A. 2021; 104 (8)
  • Superconductor-to-metal transition in overdoped cuprates NPJ QUANTUM MATERIALS Li, Z., Kivelson, S. A., Lee, D. 2021; 6 (1)
  • The quantum Hall effect in the absence of disorder NPJ QUANTUM MATERIALS Kim, K., Kivelson, S. A. 2021; 6 (1)
  • Npj Quantum Materials as a symbol of international scientific cooperation NPJ QUANTUM MATERIALS Kivelson, S. 2021; 6 (1): 0
  • Discovery of an insulating ferromagnetic phase of electrons in two dimensions. Proceedings of the National Academy of Sciences of the United States of America Kim, K., Kivelson, S. A. 2021; 118 (2)

    View details for DOI 10.1073/pnas.2023964118

    View details for PubMedID 33408156

  • Nematic quantum criticality in an Fe-based superconductor revealed by strain-tuning. Science (New York, N.Y.) Worasaran, T., Ikeda, M. S., Palmstrom, J. C., Straquadine, J. A., Kivelson, S. A., Fisher, I. R. 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

  • Robust superconductivity intertwined with charge density wave and disorder in Pd-intercalated ErTe3 PHYSICAL REVIEW RESEARCH Fang, A., Singh, A. G., Straquadine, J. W., Fisher, I. R., Kivelson, S. A., Kapitulnik, A. 2020; 2 (4)
  • Strong Coupling Limit of the Holstein-Hubbard Model. Physical review letters Han, Z., Kivelson, S. A., Yao, H. 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

  • Strong Coupling Limit of the Holstein-Hubbard Model PHYSICAL REVIEW LETTERS Han, Z., Kivelson, S. A., Yao, H. 2020; 125 (16)
  • Hubbard ladders at small U revisited PHYSICAL REVIEW B Gannot, Y., Jiang, Y., Kivelson, S. A. 2020; 102 (11)
  • A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4 NPJ QUANTUM MATERIALS Kivelson, S., Yuan, A., Ramshaw, B., Thomale, R. 2020; 5 (1)
  • Eliashberg theory of phonon-mediated superconductivity - When it is valid and how it breaks down ANNALS OF PHYSICS Chubukov, A., Abanov, A., Esterlis, I., Kivelson, S. A. 2020; 417
  • Phases of frustrated quantum antiferromagnets on the square and triangular lattices PHYSICAL REVIEW B Yu, Y., Kivelson, S. A. 2020; 101 (21)
  • Enhanced Thermal Hall Effect in Nearly Ferroelectric Insulators. Physical review letters Chen, J. Y., Kivelson, S. A., Sun, X. Q. 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

  • Enhanced Thermal Hall Effect in Nearly Ferroelectric Insulators PHYSICAL REVIEW LETTERS Chen, J., Kivelson, S. A., Sun, X. 2020; 124 (16)
  • The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 11, 2020 Agterberg, D. F., Davis, J., Edkins, S. D., Fradkin, E., Van Harlingen, D. J., Kivelson, S. A., Lee, P. A., Radzihovsky, L., Tranquada, J. M., Wang, Y., Marchetti, M. C., Mackenzie, A. P. 2020; 11: 231–70
  • Disorder-induced suppression of charge density wave order: STM study of Pd-intercalated ErTe3 PHYSICAL REVIEW B Fang, A., Straquadine, J. W., Fisher, I. R., Kivelson, S. A., Kapitulnik, A. 2019; 100 (23)
  • Physics of Superconducting Transition Temperatures JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM Kivelson, S. A. 2019
  • John Robert Schrieffer (1931-2019). Science (New York, N.Y.) Scalapino, D., Kivelson, S. A. 2019; 365 (6459): 1253

    View details for DOI 10.1126/science.aaz2849

    View details for PubMedID 31604230

  • John Robert Schrieffer (1931-2019) SCIENCE Scalapino, D., Kivelson, S. 2019; 365 (6459): 1253
  • Fermi surface reconstruction by a charge density wave with finite correlation length PHYSICAL REVIEW B Gannot, Y., Ramshaw, B. J., Kivelson, S. A. 2019; 100 (4)
  • Shoucheng Zhang (1963-2018) OBITUARY NATURE Kivelson, S. 2019; 565 (7741): 568

    View details for Web of Science ID 000457404000028

    View details for PubMedID 30675036

  • Colloquium: Anomalous metals: Failed superconductors REVIEWS OF MODERN PHYSICS Kapitulnik, A., Kivelson, S. A., Spivak, B. 2019; 91 (1)
  • Generalization of Anderson's theorem for disordered superconductors PHYSICAL REVIEW B Dodaro, J. F., Kivelson, S. A. 2018; 98 (17)
  • Superconductivity in the doped t - J model: Results for four-leg cylinders PHYSICAL REVIEW B Jiang, H., Weng, Z., Kivelson, S. A. 2018; 98 (14)
  • Spatially modulated susceptibility in thin film La2-xBaxCuO4 PHYSICAL REVIEW B Davis, S. I., Ullah, R. R., Adamo, C., Watson, C. A., Kirtley, J. R., Beasley, M. R., Kivelson, S. A., Moler, K. A. 2018; 98 (1)
  • Pair density waves in superconducting vortex halos PHYSICAL REVIEW B Wang, Y., Edkins, S. D., Hamidian, M. H., Davis, J., Fradkin, E., Kivelson, S. A. 2018; 97 (17)
  • Understanding complexity NATURE PHYSICS Kivelson, S., Kivelson, S. 2018; 14 (5): 426–27
  • Transverse fields to tune an Ising-nematic quantum phase transition PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA Maharaj, A. V., Rosenberg, E. W., Hristov, A. T., Berg, E., Fernandes, R. M., Fisher, I. R., Kivelson, S. A. 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

  • Superconductivity in engineered two-dimensional electron gases PHYSICAL REVIEW B Chubukov, A. V., Kivelson, S. A. 2017; 96 (17)
  • Avoided criticality and slow relaxation in frustrated two-dimensional models PHYSICAL REVIEW B Esterlis, I., Kivelson, S. A., Tarjus, G. 2017; 96 (14)
  • Non-quasiparticle transport and resistivity saturation: a view from the large-N limit (vol 2, 58, 2017) NPJ QUANTUM MATERIALS Werman, Y., Kivelson, S. A., Berg, E. 2017; 2
  • Time to fix science prizes NATURE PHYSICS Sondhi, S., Kivelson, S. 2017; 13 (9): 822

    View details for DOI 10.1038/nphys4246

    View details for Web of Science ID 000409235100003

  • Vestigial nematicity from spin and/or charge order in the cuprates PHYSICAL REVIEW B Nie, L., Maharaj, A. V., Fradkin, E., Kivelson, S. A. 2017; 96 (8)
  • Fractional charge and emergent mass hierarchy in diagonal two-leg t-J cylinders PHYSICAL REVIEW B Jiang, Y., Jiang, H., Yao, H., Kivelson, S. A. 2017; 95 (24)
  • Charge-4e superconductors: A Majorana quantum Monte Carlo study PHYSICAL REVIEW B Jiang, Y., Li, Z., Kivelson, S. A., Yao, H. 2017; 95 (24)
  • 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 Lederer, S., Schattner, Y., Berg, E., Kivelson, S. A. 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

  • Intertwined order in a frustrated four-leg t - J cylinder PHYSICAL REVIEW B Dodaro, J. F., Jiang, H., Kivelson, S. A. 2017; 95 (15)
  • Non-quasiparticle transport and resistivity saturation: a view from the large-N limit NPJ QUANTUM MATERIALS Werman, Y., Kivelson, S. A., Berg, E. 2017; 2
  • 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 Jang, H., Lee, W., Nojiri, H., Matsuzawa, S., Yasumura, H., Nie, L., Maharaj, A. V., Gerber, S., Liu, Y., Mehta, A., Bonn, D. A., Liang, R., Hardy, W. N., Burns, C. A., Islam, Z., Song, S., Hastings, J., Devereaux, T. P., Shen, Z., Kivelson, S. A., Kao, C., Zhu, D., Lee, J. 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

  • Defining emergence in physics NPJ QUANTUM MATERIALS Kivelson, S., Kivelson, S. A. 2016; 1
  • Ising Nematic Quantum Critical Point in a Metal: A Monte Carlo Study PHYSICAL REVIEW X Schattner, Y., Lederer, S., Kivelson, S. A., Berg, E. 2016; 6 (3)
  • Why do we need another journal? NPJ QUANTUM MATERIALS Kivelson, S. 2016; 1
  • Cold-spots and glassy nematicity in underdoped cuprates PHYSICAL REVIEW B Lee, K., Kivelson, S. A., Kim, E. 2016; 94 (1)
  • What really happens in strongly correlated superconductors: insights from a quantum Monte-Carlo study of high temperature superconductivity in FeSe films SCIENCE BULLETIN Kivelson, S. A. 2016; 61 (12): 911–13
  • Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors SCIENCE Kuo, H., Chu, J., Palmstrom, J. C., Kivelson, S. A., Fisher, I. R. 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

  • Electronic pair binding and Hund's rule violations in doped C-60 PHYSICAL REVIEW B Jiang, H., Kivelson, S. 2016; 93 (16)
  • Necessity of Time-Reversal Symmetry Breaking for the Polar Kerr Effect in Linear Response. Physical review letters Cho, W., Kivelson, S. A. 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

  • Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for YBa2Cu3O6+delta PHYSICAL REVIEW B Maharaj, A. V., Zhang, Y., Ramshaw, B. J., Kivelson, S. A. 2016; 93 (9)
  • Vestigial chiral and charge orders from bidirectional spin-density waves: Application to the iron-based superconductors PHYSICAL REVIEW B Fernandes, R. M., Kivelson, S. A., Berg, E. 2016; 93 (1)
  • 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 Breznay, N. P., Steiner, M. A., Kivelson, S. A., Kapitulnik, A. 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

  • 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 Breznay, N. P., Steiner, M. A., Kivelson, S. A., Kapitulnik, A. 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

  • Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields SCIENCE Gerber, S., Jang, H., Nojiri, H., Matsuzawa, S., Yasumura, H., Bonn, D. A., Liang, R., Hardy, W. N., Islam, Z., Mehta, A., Song, S., Sikorski, M., Stefanescu, D., Feng, Y., Kivelson, S. A., Devereaux, T. P., Shen, Z., Kao, C., Lee, W., Zhu, D., Lee, J. 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

  • Fluctuating orders and quenched randomness in the cuprates PHYSICAL REVIEW B Nie, L., Sierens, L. E., Melko, R. G., Sachdev, S., Kivelson, S. A. 2015; 92 (17)
  • Macroscopic character of composite high-temperature superconducting wires PHYSICAL REVIEW B Kivelson, S. A., Spivak, B. 2015; 92 (18)
  • Nematicity and quantum paramagnetism in FeSe NATURE PHYSICS Wang, F., Kivelson, S. A., Lee, D. 2015; 11 (11): 959-963

    View details for DOI 10.1038/NPHYS3456

    View details for Web of Science ID 000364800600022

  • One Hole in the Two-Leg t-J Ladder and Adiabatic Continuity to the Noninteracting Limit PHYSICAL REVIEW LETTERS White, S. R., Scalapino, D. J., Kivelson, S. A. 2015; 115 (5)
  • Colloquium: Theory of intertwined orders in high temperature superconductors REVIEWS OF MODERN PHYSICS Fradkin, E., Kivelson, S. A., Tranquada, J. M. 2015; 87 (2): 457-482
  • Enhancement of Superconductivity near a Nematic Quantum Critical Point PHYSICAL REVIEW LETTERS Lederer, S., Schattner, Y., Berg, E., Kivelson, S. A. 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

  • From quantum matter to high-temperature superconductivity in copper oxides NATURE Keimer, B., Kivelson, S. A., Norman, M. R., Uchida, S., Zaanen, J. 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

  • Disruption of quantum oscillations by an incommensurate charge density wave PHYSICAL REVIEW B Zhang, Y., Maharaj, A. V., Kivelson, S. 2015; 91 (8)
  • Coherent transmutation of electrons into fractionalized anyons SCIENCE Barkeshli, M., Berg, E., Kivelson, S. 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

  • Coherent transmutation of electrons into fractionalized anyons. Science Barkeshli, M., Berg, E., Kivelson, S. 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

  • 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 Nie, L., Tarjus, G., Kivelson, S. A. 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

  • 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 Nie, L., Tarjus, G., Kivelson, S. A. 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

  • Correlations and renormalization of the electron-phonon coupling in the honeycomb Hubbard ladder and superconductivity in polyacene PHYSICAL REVIEW B Karakonstantakis, G., Liu, L., Thomale, R., Kivelson, S. A. 2013; 88 (22)
  • Evidence from tunneling spectroscopy for a quasi-one-dimensional origin of superconductivity in Sr2RuO4 PHYSICAL REVIEW B Firmo, I. A., Lederer, S., Lupien, C., Mackenzie, A. P., Davis, J. C., Kivelson, S. A. 2013; 88 (13)
  • Field theory of the quantum Hall nematic transition PHYSICAL REVIEW B Maciejko, J., Hsu, B., Kivelson, S. A., Park, Y., Sondhi, S. L. 2013; 88 (12)
  • Band structure effects on the superconductivity in Hubbard models PHYSICAL REVIEW B Cho, W., Thomale, R., Raghu, S., Kivelson, S. A. 2013; 88 (6)
  • Gapless spin liquids: Stability and possible experimental relevance PHYSICAL REVIEW B Barkeshli, M., Yao, H., Kivelson, S. A. 2013; 87 (14)
  • Kerr effect as evidence of gyrotropic order in the cuprates PHYSICAL REVIEW B Hosur, P., Kapitulnik, A., Kivelson, S. A., Orenstein, J., Raghu, S. 2013; 87 (11)
  • Microscopic Model of Quasiparticle Wave Packets in Superfluids, Superconductors, and Paired Hall States PHYSICAL REVIEW LETTERS Parameswaran, S. A., Kivelson, S. A., Shankar, R., Sondhi, S. L., Spivak, B. Z. 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

  • HIGH-TEMPERATURE SUPERCONDUCTIVITY Ineluctable complexity NATURE PHYSICS Fradkin, E., Kivelson, S. A. 2012; 8 (12): 864–66

    View details for DOI 10.1038/nphys2498

    View details for Web of Science ID 000311888200010

  • Charge and spin collective modes in a quasi-one-dimensional model of Sr2RuO4 PHYSICAL REVIEW B Chung, S. B., Raghu, S., Kapitulnik, A., Kivelson, S. A. 2012; 86 (6)
  • Typology for quantum Hall liquids PHYSICAL REVIEW B Parameswaran, S. A., Kivelson, S. A., Rezayi, E. H., Simon, S. H., Sondhi, S. L., Spivak, B. Z. 2012; 85 (24)
  • Exact Spin Liquid Ground States of the Quantum Dimer Model on the Square and Honeycomb Lattices PHYSICAL REVIEW LETTERS Yao, H., Kivelson, S. A. 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

  • The weakly coupled Pfaffian as a type I quantum hall liquid International Workshop on Electronic Crystals (ECRYS) Parameswaran, S. A., Kivelson, S. A., Sondhi, S. L., Spivak, B. Z. ELSEVIER SCIENCE BV. 2012: 1937–38
  • Observable NMR signal from circulating current order in YBCO PHYSICAL REVIEW B Lederer, S., Kivelson, S. A. 2012; 85 (15)
  • Pressure effects on magnetically driven electronic nematic states in iron pnictide superconductors PHYSICAL REVIEW B Hu, J., Setty, C., Kivelson, S. 2012; 85 (10)
  • Phases of the Infinite U Hubbard Model on Square Lattices PHYSICAL REVIEW LETTERS Liu, L., Yao, H., Berg, E., White, S. R., Kivelson, S. A. 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

  • Electronic liquid crystalline phases in a spin-orbit coupled two-dimensional electron gas PHYSICAL REVIEW B Berg, E., Rudner, M. S., Kivelson, S. A. 2012; 85 (3)
  • Effects of longer-range interactions on unconventional superconductivity PHYSICAL REVIEW B Raghu, S., Berg, E., Chubukov, A. V., Kivelson, S. A. 2012; 85 (2)
  • Thermodynamics of phase formation in the quantum critical metal Sr3Ru2O7 PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA Rost, A. W., Grigera, S. A., Bruin, J. A., Perry, R. S., Tian, D., Raghu, S., Kivelson, S. A., Mackenzie, A. P. 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

  • Fermi-surface reconstruction in a smectic phase of a high-temperature superconductor PHYSICAL REVIEW B Yao, H., Lee, D., Kivelson, S. 2011; 84 (1)
  • Hydrodynamic Description of Transport in Strongly Correlated Electron Systems PHYSICAL REVIEW LETTERS Andreev, A. V., Kivelson, S. A., Spivak, B. 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

  • Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid PHYSICAL REVIEW LETTERS Parameswaran, S. A., Kivelson, S. A., Sondhi, S. L., Spivak, B. Z. 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

  • From a Single-Band Metal to a High-Temperature Superconductor via Two Thermal Phase Transitions SCIENCE He, R., Hashimoto, M., Karapetyan, H., Koralek, J. D., Hinton, J. P., Testaud, J. P., Nathan, V., Yoshida, Y., Yao, H., Tanaka, K., Meevasana, W., Moore, R. G., Lu, D. H., Mo, S., Ishikado, M., Eisaki, H., Hussain, Z., Devereaux, T. P., Kivelson, S. A., Orenstein, J., Kapitulnik, A., Shen, Z. 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

  • Superconductivity from repulsive interactions in the two-dimensional electron gas PHYSICAL REVIEW B Raghu, S., Kivelson, S. A. 2011; 83 (9)
  • Enhanced pairing in the checkerboard Hubbard ladder PHYSICAL REVIEW B Karakonstantakis, G., Berg, E., White, S. R., Kivelson, S. A. 2011; 83 (5)
  • Local interlayer tunneling between two-dimensional electron systems in the ballistic regime PHYSICAL REVIEW B Luna, K., Kim, E., Oreto, P., Kivelson, S. A., Goldhaber-Gordon, D. 2010; 82 (23)
  • Entropy-driven formation of a half-quantum vortex lattice PHYSICAL REVIEW B Chung, S. B., Kivelson, S. A. 2010; 82 (21)
  • Fragile Mott Insulators PHYSICAL REVIEW LETTERS Yao, H., Kivelson, S. A. 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

  • Pair-Density-Wave Correlations in the Kondo-Heisenberg Model PHYSICAL REVIEW LETTERS Berg, E., Fradkin, E., Kivelson, S. A. 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

  • Hidden Quasi-One-Dimensional Superconductivity in Sr2RuO4 PHYSICAL REVIEW LETTERS Raghu, S., Kapitulnik, A., Kivelson, S. A. 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

  • Nematic valley ordering in quantum Hall systems PHYSICAL REVIEW B Abanin, D. A., Parameswaran, S. A., Kivelson, S. A., Sondhi, S. L. 2010; 82 (3)
  • Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution PHYSICAL REVIEW B Raghu, S., Kivelson, S. A., Scalapino, D. J. 2010; 81 (22)
  • Colloquium: Transport in strongly correlated two dimensional electron fluids REVIEWS OF MODERN PHYSICS Spivak, B., Kravchenko, S. V., Kivelson, S. A., Gao, X. P. 2010; 82 (2): 1743-1766
  • Properties of a diagonal two-orbital ladder model of the iron pnictide superconductors PHYSICAL REVIEW B Berg, E., Kivelson, S. A., Scalapino, D. J. 2010; 81 (17)
  • Electron Nematic Phases Proliferate SCIENCE Fradkin, E., Kivelson, S. A. 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

  • Nematic Fermi Fluids in Condensed Matter Physics ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 1 Fradkin, E., Kivelson, S. A., Lawler, M. J., Eisenstein, J. P., Mackenzie, A. P. 2010; 1: 153-178
  • Striped superconductors: how spin, charge and superconducting orders intertwine in the cuprates NEW JOURNAL OF PHYSICS Berg, E., Fradkin, E., Kivelson, S. A., Tranquada, J. M. 2009; 11
  • Charge-4e superconductivity from pair-density-wave order in certain high-temperature superconductors NATURE PHYSICS Berg, E., Fradkin, E., Kivelson, S. A. 2009; 5 (11): 830-833

    View details for DOI 10.1038/NPHYS1389

    View details for Web of Science ID 000271895500018

  • A twisted ladder: relating the Fe superconductors to the high-Tc cuprates NEW JOURNAL OF PHYSICS Berg, E., Kivelson, S. A., Scalapino, D. J. 2009; 11
  • Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing PHYSICAL REVIEW LETTERS Sun, K., Yao, H., Fradkin, E., Kivelson, S. A. 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

  • Microscopic theory of the nematic phase in Sr3Ru2O7 PHYSICAL REVIEW B Raghu, S., Paramekanti, A., Kim, E. A., Borzi, R. A., Grigera, S. A., Mackenzie, A. P., Kivelson, S. A. 2009; 79 (21)
  • Algebraic Spin Liquid in an Exactly Solvable Spin Model PHYSICAL REVIEW LETTERS Yao, H., Zhang, S., Kivelson, S. A. 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

  • d-Wave to s-wave to normal metal transitions in disordered superconductors 5th International Workshop on Electronic Crystals (ECRYS-2008) Spivak, B., Oreto, P., Kivelson, S. A. ELSEVIER SCIENCE BV. 2009: 462–65
  • Theory of the striped superconductor PHYSICAL REVIEW B Berg, E., Fradkin, E., Kivelson, S. A. 2009; 79 (6)
  • d-wave to s-wave to normal metal transitions in disordered superconductors Landau Memorial Conference on Advances in Theoretical Physics Spivak, B., Oreto, P., Kivelson, S. A. AMER INST PHYSICS. 2009: 89–93
  • IRON-BASED SUPERCONDUCTORS Unity or diversity? NATURE MATERIALS Kivelson, S. A., Yao, H. 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

  • In search of a theory of supercooled liquids NATURE MATERIALS Kivelson, S. A., Tarjus, G. 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

  • Route to high-temperature superconductivity in composite systems PHYSICAL REVIEW B Berg, E., Orgad, D., Kivelson, S. A. 2008; 78 (9)
  • Theory of quantum metal to superconductor transitions in highly conducting systems PHYSICAL REVIEW B Spivak, B., Oreto, P., Kivelson, S. A. 2008; 77 (21)
  • Theory of electron nematic order in LaFeAsO PHYSICAL REVIEW B Fang, C., Yao, H., Tsai, W., Hu, J., Kivelson, S. A. 2008; 77 (22)
  • Optimal inhomogeneity for superconductivity: Finite-size studies PHYSICAL REVIEW B Tsai, W., Yao, H., Laeuchli, A., Kivelson, S. A. 2008; 77 (21)
  • Theory of the nodal nematic quantum phase transition in superconductors PHYSICAL REVIEW B Kim, E., Lawler, M. J., Oreto, P., Sachdev, S., Fradkin, E., Kivelson, S. A. 2008; 77 (18)
  • Polar Kerr-effect measurements of the high-temperature YBa2Cu3O6+x superconductor: Evidence for broken symmetry near the pseudogap temperature PHYSICAL REVIEW LETTERS Xia, J., Schemm, E., Deutscher, G., Kivelson, S. A., Bonn, D. A., Hardy, W. N., Liang, R., Siemons, W., Koster, G., Fejer, M. M., Kapitulnik, A. 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

  • Stability of nodal quasiparticles in superconductors with coexisting orders PHYSICAL REVIEW LETTERS Berg, E., Chen, C., Kivelson, S. A. 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

  • Exact chiral spin liquid with non-Abelian anyons PHYSICAL REVIEW LETTERS Yao, H., Kivelson, S. A. 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

  • Superconductivity in zigzag CuO chains PHYSICAL REVIEW B Berg, E., Geballe, T. H., Kivelson, S. A. 2007; 76 (21)
  • Myriad phases of the checkerboard Hubbard model PHYSICAL REVIEW B Yao, H., Tsai, W., Kivelson, S. A. 2007; 76 (16)
  • Dynamical layer decoupling in a stripe-ordered High-T-c superconductor PHYSICAL REVIEW LETTERS Berg, E., Fradkin, E., Kim, E., Kivelson, S. A., Oganesyan, V., Tranquada, J. M., Zhang, S. C. 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

  • On the absence of ferromagnetism in typical 2D ferromagnets COMMUNICATIONS IN MATHEMATICAL PHYSICS Biskup, M., Chayes, L., Kivelson, S. A. 2007; 274 (1): 217-231
  • Electron nematic phase in a transition metal oxide SCIENCE Fradkin, E., Kivelson, S. A., Oganesyan, V. 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

  • Theory of stripes in quasi-two-dimensional rare-earth tellurides PHYSICAL REVIEW B Yao, H., Robertson, J. A., Kim, E., Kivelson, S. A. 2006; 74 (24)
  • Inferring effective interactions from the local density of states: Application to STM data from Bi2Sr2CaCu2O8+delta PHYSICAL REVIEW B Jamei, R., Robertson, J., Kim, E., Fang, A., Kapitulnik, A., Kivelson, S. A. 2006; 74 (17)
  • Distinguishing patterns of charge order: Stripes or checkerboards PHYSICAL REVIEW B Robertson, J. A., Kivelson, S. A., Fradkin, E., Fang, A. C., Kapitulnik, A. 2006; 74 (13)
  • Transport in two dimensional electronic micro-emulsions ANNALS OF PHYSICS Spivak, B., Kivelson, S. A. 2006; 321 (9): 2071-2115
  • Magnetic model of the tetragonal-orthorhombic transition in the cuprates PHYSICAL REVIEW B Fang, C., Hu, J., Kivelson, S., Brown, S. 2006; 74 (9)
  • Superconductivity in inhomogeneous Hubbard models PHYSICAL REVIEW B Tsai, W., Kivelson, S. A. 2006; 73 (21)
  • Superconducting materials: Superconductivity on the verge of catastrophe NATURE MATERIALS Kivelson, S. A. 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

  • Hysteresis and noise from electronic nematicity in high-temperature superconductors PHYSICAL REVIEW LETTERS Carlson, E. W., Dahmen, K. A., Fradkin, E., Kivelson, S. A. 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

  • Gap-inhomogeneity-induced electronic states in superconducting Bi2Sr2CaCu2O8+delta PHYSICAL REVIEW LETTERS Fang, A. C., Capriotti, L., Scalapino, D. J., Kivelson, S. A., Kaneko, N., Greven, M., Kapitulnik, A. 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

  • The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment JOURNAL OF PHYSICS-CONDENSED MATTER Tarjus, G., Kivelson, S. A., Nussinov, Z., Viot, P. 2005; 17 (50): R1143-R1182
  • Transport in two dimensional electronic micro-emulsions International Workshop on Electronic Crystals (ECRYS-2005) Spivak, B., Kivelson, S. EDP SCIENCES S A. 2005: 255–256
  • Enhancement of superconductivity by local inhomogeneities PHYSICAL REVIEW B Martin, I., Podolsky, D., Kivelson, S. A. 2005; 72 (6)
  • Drag resistance of two-dimensional electronic microemulsions PHYSICAL REVIEW B Spivak, B., Kivelson, S. A. 2005; 72 (4)
  • Surface pinning of fluctuating charge order: An extraordinary surface phase transition PHYSICAL REVIEW B Brown, S. E., Fradkin, E., Kivelson, S. A. 2005; 71 (22)
  • Competition between charge-density waves and superconductivity in striped systems International Conference on Strongly Correlated Electron Systems (SCES 04) Arrigoni, E., Fradkin, E., Kivelson, S. A. ELSEVIER SCIENCE BV. 2005: 623–625
  • Universal aspects of coulomb-frustrated phase separation PHYSICAL REVIEW LETTERS Jamei, R., Kivelson, S., Spivak, B. 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

  • Spectral function of a Luttinger liquid coupled to phonons and angle-resolved photoemission measurements in the cuprate superconductors PHYSICAL REVIEW B Bindloss, I. P., Kivelson, S. A. 2005; 71 (1)
  • Phases intermediate between a two-dimensional electron liquid and Wigner crystal PHYSICAL REVIEW B Spivak, B., Kivelson, S. A. 2004; 70 (15)
  • Mechanism of high-temperature superconductivity in a striped Hubbard model PHYSICAL REVIEW B Arrigoni, E., Fradkin, E., Kivelson, S. A. 2004; 69 (21)
  • Quasi-one-dimensional dynamics and nematic phases in the two-dimensional Emery model PHYSICAL REVIEW B Kivelson, S. A., Fradkin, E., Geballe, T. H. 2004; 69 (14)
  • Incipient order in the t-j model at high temperatures PHYSICAL REVIEW LETTERS Pryadko, L. P., Kivelson, S. A., Zachar, O. 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, tJ, 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

  • Order by disorder, without order, in a two-dimensional spin system with O(2) symmetry ANNALES HENRI POINCARE Biskup, M., Chayes, L., Kivelson, S. A. 2004; 5 (6): 1181-1205
  • Optimal inhomogeneity for superconductivity PHYSICAL REVIEW B Arrigoni, E., Kivelson, S. A. 2003; 68 (18)
  • How to detect fluctuating stripes in the high-temperature superconductors REVIEWS OF MODERN PHYSICS Kivelson, S. A., Bindloss, I. P., Fradkin, E., Oganesyan, V., Tranquada, J. M., Kapitulnik, A., Howald, C. 2003; 75 (4): 1201-1241
  • Two classes of Mott insulator PHYSICAL REVIEW B Lee, D. H., Kivelson, S. A. 2003; 67 (2)
  • Stripes, electron fractionalization, and ARPES International Conference on Spectroscopies in Novel Superconductors (SNS 2001) Carlson, E. W., Orgad, D., Kivelson, S. A., Emery, V. J. PERGAMON-ELSEVIER SCIENCE LTD. 2002: 2213–18
  • Where do holes go in doped antiferromagnets and what is their relationship to superconductivity? International Conference on Spectroscopies in Novel Superconductors (SNS 2001) Arrigoni, E., Zacher, M. G., Eder, R., Hanke, W., Harju, A., Kivelson, S. A. PERGAMON-ELSEVIER SCIENCE LTD. 2002: 2207–12
  • Competing order in the mixed state of high-temperature superconductors PHYSICAL REVIEW B Kivelson, S. A., Lee, D. H., Fradkin, E., Oganesyan, V. 2002; 66 (14)
  • Spin-1 neutron resonance peak cannot account for electronic anomalies in the cuprate superconductors PHYSICAL REVIEW LETTERS Kee, H. Y., Kivelson, S. A., Aeppli, G. 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

  • Theory of the quantum Hall smectic phase. I. Low-energy properties of the quantum Hall smectic fixed point PHYSICAL REVIEW B Barci, D. G., Fradkin, E., Kivelson, S. A., Oganesyan, V. 2002; 65 (24)
  • Josephson tunneling spectroscopy of negative-U centers PHYSICAL REVIEW B Oganesyan, V., Kivelson, S., Geballe, T., Moyzhes, B. 2002; 65 (17)
  • Distribution of spectral weight in a system with disordered stripes PHYSICAL REVIEW B Granath, M., Oganesyan, V., Orgad, D., Kivelson, S. A. 2002; 65 (18)
  • Stripes and superconducting pairing in the t-J model with Coulomb interactions PHYSICAL REVIEW B Arrigoni, E., Harju, A. P., Hanke, W., Brendel, B., Kivelson, S. A. 2002; 65 (13)
  • Self-organized quasi-one dimensional structures in high-temperature superconductors: The stripe phase Spring Meeting of the Deutsche-Physikalische-Gesellschaft Arrigoni, E., Zacher, M. G., Eder, R., Hanke, W., Kivelson, S. A. SPRINGER-VERLAG BERLIN. 2002: 307–318
  • Quantum theory of a nematic Fermi fluid PHYSICAL REVIEW B Oganesyan, V., Kivelson, S. A., Fradkin, E. 2001; 64 (19)
  • Nodal quasiparticles in stripe ordered superconductors PHYSICAL REVIEW LETTERS Granath, M., Oganesyan, V., Kivelson, S. A., Fradkin, E., Emery, V. J. 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

  • Thermodynamics of the interplay between magnetism and high-temperature superconductivity PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA Kivelson, S. A., Aeppli, G., Emery, V. J. 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

  • Electronic mechanism of superconductivity in the cuprates, C-60, and polyacenes PHYSICAL REVIEW B CHAKRAVARTY, S., Kivelson, S. A. 2001; 64 (6)
  • Evidence of electron fractionalization from photoemission spectra in the high temperature superconductors PHYSICAL REVIEW LETTERS Orgad, D., Kivelson, S. A., Carlson, E. W., Emery, V. J., Zhou, X. J., Shen, Z. X. 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

  • Effects of dissipation on quantum phase transitions PHYSICAL REVIEW B Kapitulnik, A., Mason, N., Kivelson, S. A., CHAKRAVARTY, S. 2001; 63 (12)
  • Quantum theory of the smectic metal state in stripe phases PHYSICAL REVIEW LETTERS Emery, V. J., Fradkin, E., Kivelson, S. A., Lubensky, T. C. 2000; 85 (10): 2160-2163
  • Dimensional crossover in quasi-one-dimensional and high-T-c superconductors PHYSICAL REVIEW B Carlson, E. W., Orgad, D., Kivelson, S. A., Emery, V. J. 2000; 62 (5): 3422-3437
  • Are there stripes in the ET materials? 20th Anniversary of Organic Superconductivity Emery, V. J., Kivelson, S. A. EDP SCIENCES S A. 2000: 127–37
  • Charge inhomogeneity and high temperature superconductivity International Workshop on Inelastic X-ray Scattering Emery, V. J., Kivelson, S. A. PERGAMON-ELSEVIER SCIENCE LTD. 2000: 467–71
  • Nematic phase of the two-dimensional electron gas in a magnetic field PHYSICAL REVIEW LETTERS Fradkin, E., Kivelson, S. A., Manousakis, E., Nho, K. 2000; 84 (9): 1982-1985
  • Charge-ordered states in doped AFMs: Long-range "Casimir" attraction and instability 2nd International Conference on Stripes and High Tc Superconductivity Hone, D. W., Kivelson, S., Pryadko, L. P. KLUWER ACADEMIC/PLENUM PUBL. 2000: 447–453
  • Microscopic theory of high-temperature superconductivity 2nd International Conference on Stripes and High Tc Superconductivity Emery, V. J., Kivelson, S. A. KLUWER ACADEMIC/PLENUM PUBL. 2000: 69–75
  • Stripe liquid, crystal, and glass phases of doped antiferromagnets 2nd International Conference on Stripes and High Tc Superconductivity Kivelson, S. A., Emery, V. J. KLUWER ACADEMIC/PLENUM PUBL. 2000: 91–100
  • Electronic structure of doped insulators and high temperature superconductivity International Conference on Physics and Chemistry of Molecular and Oxide Superconductors (MOS-99) Emery, V. J., Kivelson, S. A. SPRINGER/PLENUM PUBLISHERS. 1999: 189–98
  • Topological doping and the stability of stripe phases PHYSICAL REVIEW B Pryadko, L. P., Kivelson, S. A., Emery, V. J., Bazaliy, Y. B., Demler, E. A. 1999; 60 (10): 7541-7557
  • Stripe phases in high-temperature superconductors PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA Emery, V. J., Kivelson, S. A., Tranquada, J. M. 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

  • Avoided critical behavior in O(n) systems PHYSICAL REVIEW LETTERS Nussinov, Z., Rudnick, J., Kivelson, S. A., Chayes, L. N. 1999; 83 (3): 472-475
  • Classical phase fluctuations in high temperature superconductors PHYSICAL REVIEW LETTERS Carlson, E. W., Kivelson, S. A., Emery, V. J., Manousakis, E. 1999; 83 (3): 612-615
  • Classification and stability of phases of the multicomponent one-dimensional electron gas PHYSICAL REVIEW B Emery, V. J., Kivelson, S. A., Zachar, O. 1999; 59 (24): 15641-15653
  • Wigner glass, spin liquids and the metal-insulator transition PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES Chakravarty, S., Kivelson, S., Nayak, C., Voelker, K. 1999; 79 (6): 859-868
  • Liquid-crystal phases of quantum Hall systems PHYSICAL REVIEW B Fradkin, E., Kivelson, S. A. 1999; 59 (12): 8065-8072
  • Local electronic structure and high temperature superconductivity. Conference on High Temperature Superconductivity Emery, V. J., Kivelson, S. A. AMER INST PHYSICS. 1999: 37–44
  • Crossovers and phase coherence in cuprate superconductors International Conference on Spectroscopies in Novel Superconductors (SNS'97) Emery, V. J., Kivelson, S. A. PERGAMON-ELSEVIER SCIENCE LTD. 1998: 1705–10
  • Instability of charge ordered states in doped antiferromagnets PHYSICAL REVIEW LETTERS Pryadko, L. P., Kivelson, S., Hone, D. W. 1998; 80 (25): 5651-5654
  • Doped antiferromagnets in high dimension PHYSICAL REVIEW B Carlson, E. W., Kivelson, S. A., Nussinov, Z., Emery, V. J. 1998; 57 (23): 14704-14721
  • Electronic liquid-crystal phases of a doped Mott insulator NATURE Kivelson, S. A., Fradkin, E., Emery, V. J. 1998; 393 (6685): 550-553
  • Landau theory of stripe phases in cuprates and nickelates PHYSICAL REVIEW B Zachar, O., Kivelson, S. A., Emery, V. J. 1998; 57 (3): 1422-1426
  • Spin-gap proximity effect mechanism of high-temperature superconductivity PHYSICAL REVIEW B Emery, V. J., Kivelson, S. A., Zachar, O. 1997; 56 (10): 6120-6147
  • Pairing and phase coherence in high temperature superconductors International Conference on Materials and Mechanisms of Superconductivity - High Temperature Superconductors V Emery, V. J., Kivelson, S. A., Zachar, O. ELSEVIER SCIENCE BV. 1997: 174–177
  • High-temperature pairing in stripes International Conference on Stripes, Lattice Stabilities, and High-Temperature Superconductivity Zachar, O., Kivelson, S. A., Emery, V. J. SPRINGER/PLENUM PUBLISHERS. 1997: 373–78
  • Composite-fermion Hall conductance at v=1/2 PHYSICAL REVIEW B Kivelson, S. A., Lee, D. H., Krotov, Y., Gan, J. 1997; 55 (23): 15552-15561
  • Two point-contact interferometer for quantum Hall systems PHYSICAL REVIEW B Chamon, C. D., Freed, D. E., Kivelson, S. A., Sondhi, S. L., Wen, X. G. 1997; 55 (4): 2331-2343
  • 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 Tarjus, G., Kivelson, D., Kivelson, S. AMER CHEMICAL SOC. 1997: 67–81
  • A viewpoint, model and theory for supercooled liquids International Seminar on the Dynamics of Glass Transition and Related Topics Kivelson, D., Tarjus, G., Kivelson, S. A. PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE. 1997: 289–99
  • 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 Kivelson, Tarjus, Xiao, Kivelson 1996; 54 (5): 5873-5874

    View details for PubMedID 9965787

  • Textured edges in quantum Hall systems PHYSICAL REVIEW LETTERS Karlhede, A., Kivelson, S. A., Lejnell, K., Sondhi, S. L. 1996; 77 (10): 2061-2064
  • Modular invariance, self-duality and the phase transition between quantum Hall plateaus NUCLEAR PHYSICS B Fradkin, E., Kivelson, S. 1996; 474 (3): 543-574
  • Exact results for a 1D Kondo lattice from bosonization PHYSICAL REVIEW LETTERS Zachar, O., Kivelson, S. A., Emery, V. J. 1996; 77 (7): 1342-1345
  • Metallic stripes in high-temperature superconductors JOURNAL OF SUPERCONDUCTIVITY Salkola, M. I., Emery, V. J., Kivelson, S. A. 1996; 9 (4): 401-406
  • Implications of charge ordering for single-particle properties of high-T-c superconductors PHYSICAL REVIEW LETTERS Salkola, M. I., Emery, V. J., Kivelson, S. A. 1996; 77 (1): 155-158
  • Topological doping of correlated insulators SYNTHETIC METALS Kivelson, S. A., Emery, V. J. 1996; 80 (2): 151-158
  • Paired states in the even integer quantum Hall effect. Physical review. B, Condensed matter Tikofsky, Kivelson 1996; 53 (20): R13275-R13278

    View details for PubMedID 9983166

  • Charge ordering in high-temperature superconductors International Symposium on Frontiers of High -T(c) Superconductivity Emery, V. J., Kivelson, S. A. ELSEVIER SCIENCE BV. 1996: 44–48
  • Electrons in flatland SCIENTIFIC AMERICAN Kivelson, S., Lee, D. H., Zhang, S. C. 1996; 274 (3): 86-91
  • Avoided critical behavior in a uniformly frustrated system PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS Chayes, L., Emery, V. J., Kivelson, S. A., Nussinov, Z., Tarjus, G. 1996; 225 (1): 129-153
  • Fitting of viscosity: Distinguishing the temperature dependences predicted by various models of supercooled liquids PHYSICAL REVIEW E Kivelson, D., Tarjus, G., Zhao, X. L., Kivelson, S. A. 1996; 53 (1): 751-758
  • A THERMODYNAMIC THEORY OF SUPERCOOLED LIQUIDS PHYSICA A Kivelson, D., Kivelson, S. A., Zhao, X. L., Nussinov, Z., Tarjus, G. 1995; 219 (1-2): 27-38
  • SUPERCONDUCTIVITY IN BAD METALS PHYSICAL REVIEW LETTERS Emery, V. J., Kivelson, S. A. 1995; 74 (16): 3253-3256
  • IMPORTANCE OF PHASE FLUCTUATIONS IN SUPERCONDUCTORS WITH SMALL SUPERFLUID DENSITY NATURE Emery, V. J., Kivelson, S. A. 1995; 374 (6521): 434-437
  • METALLIC SCREENING AND CORRELATION-EFFECTS IN SUPERCONDUCTING FULLERENES PHYSICAL REVIEW LETTERS Lammert, P. E., Rokhsar, D. S., CHAKRAVARTY, S., Kivelson, S., Salkola, M. I. 1995; 74 (6): 996-999
  • COLLECTIVE CHARGE-TRANSPORT IN HIGH-TEMPERATURE SUPERCONDUCTORS PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS Emery, V. J., Kivelson, S. A. 1994; 235: 189-192
  • 2-PHASE COEXISTENCE AND SEMIMETALLIC STATES IN CONDUCTING POLYMERS PHYSICAL REVIEW B Salkola, M. I., Kivelson, S. A. 1994; 50 (19): 13962-13973
  • FRUSTRATION-LIMITED CLUSTERS IN LIQUIDS JOURNAL OF CHEMICAL PHYSICS Kivelson, S. A., Zhao, X. L., Kivelson, D., Fischer, T. M., Knobler, C. M. 1994; 101 (3): 2391-2397
  • STRATEGIES FOR FINDING SUPERCONDUCTIVITY IN CONDUCTING POLYMERS Workshop on the Metallic Phase of Conducting Polymers Kivelson, S. A., Emery, V. J. ELSEVIER SCIENCE SA. 1994: 249–54
  • STUDY OF AN ISING-MODEL WITH COMPETING LONG-RANGE AND SHORT-RANGE INTERACTIONS PHYSICAL REVIEW LETTERS Low, U., Emery, V. J., Fabricius, K., Kivelson, S. A. 1994; 72 (12): 1918-1921
  • ELECTRONIC PHASE-SEPARATION AND HIGH-TEMPERATURE SUPERCONDUCTORS Conference on Strongly Correlated Electronic Materials: The Los Alamos Symposium 1993 Kivelson, S. A., Emery, V. J. ADDISON-WESLEY PUBL CO. 1994: 619–656
  • PROPERTIES OF AN ORBITAL KONDO ARRAY Conference on Strongly Correlated Electronic Materials: The Los Alamos Symposium 1993 Emery, V. J., Kivelson, S. A. ADDISON-WESLEY PUBL CO. 1994: 669–672
  • DYNAMICAL IMPURITY PROBLEMS 8th International Summer School on Fundamental Problems in Statistical Mechanics Emery, V. J., Kivelson, S. A. ELSEVIER SCIENCE PUBL B V. 1994: 1–26
  • SOLUTION OF AN ORBITAL KONDO ARRAY PHYSICAL REVIEW LETTERS Emery, V. J., Kivelson, S. A. 1993; 71 (22): 3701-3704
  • ELECTRONIC CORRELATIONS AND ELECTRON-PHONON COUPLING IN C-60 INTERNATIONAL JOURNAL OF MODERN PHYSICS B Salkola, M. I., CHAKRAVARTY, S., Kivelson, S. A. 1993; 7 (15): 2859-2884
  • QUANTUM PERCOLATION AND PLATEAU TRANSITIONS IN THE QUANTUM HALL-EFFECT PHYSICAL REVIEW LETTERS Lee, D. H., Wang, Z. Q., Kivelson, S. 1993; 70 (26): 4130-4133
  • SKYRMIONS AND THE CROSSOVER FROM THE INTEGER TO FRACTIONAL QUANTUM HALL-EFFECT AT SMALL ZEEMAN ENERGIES PHYSICAL REVIEW B Sondhi, S. L., Karlhede, A., Kivelson, S. A., Rezayi, E. H. 1993; 47 (24): 16419-16426
  • FRUSTRATED ELECTRONIC PHASE-SEPARATION AND HIGH-TEMPERATURE SUPERCONDUCTORS PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS Emery, V. J., Kivelson, S. A. 1993; 209 (4): 597-621
  • 2-PHASE COEXISTENCE IN THE METALLIC STATE OF POLYACETYLENE PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT Salkola, M. I., Kivelson, S. A. 1993: 53-60
  • THE METALLIC STATE OF HEAVILY DOPED CONDUCTING POLYMERS Nobel Symposium on Conjugated Polymers and Related Materials: The Interconnection of Chemical and Electronic Structure Kivelson, S. A., Salkola, M. I. OXFORD UNIVERSITY PRESS. 1993: 247–259
  • LOW-ENERGY PHYSICS OF HIGH-TEMPERATURE SUPERCONDUCTORS JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS Emery, V. J., Kivelson, S. A. 1992; 53 (12): 1499-1506
  • LONG-RANGE INTERACTIONS AND THE QUANTUM HALL-EFFECT PHYSICAL REVIEW B Sondhi, S. L., Kivelson, S. A. 1992; 46 (20): 13319-13325
  • MAPPING OF THE 2-CHANNEL KONDO PROBLEM TO A RESONANT-LEVEL MODEL PHYSICAL REVIEW B Emery, V. J., Kivelson, S. 1992; 46 (17): 10812-10817
  • ZERO-TEMPERATURE HALL-COEFFICIENT OF AN INSULATOR PHYSICAL REVIEW LETTERS Zhang, S. C., Kivelson, S., Lee, D. H. 1992; 69 (8): 1252-1255
  • Comment on "Electron-phonon coupling and superconductivity in alkali-intercalated C60 solid" Physical review letters Chakravarty, Khlebnikov, Kivelson 1992; 69 (1): 212-?

    View details for PubMedID 10046227

  • METAL NONMETAL TRANSITION IN POLYACETYLENE SYNTHETIC METALS Kivelson, S. A., Salkola, M. I. 1991; 44 (3): 281-291
  • Reply to "Neutral-fermion-soliton statistics in the short-range resonating-valence-bond state: A reevaluation" Physical review. B, Condensed matter Kivelson, Rokhsar, Sethna, Shore 1989; 40 (10): 7343-7344

    View details for PubMedID 9991137

  • Jain and Kivelson reply. Physical review letters Jain, Kivelson 1989; 62 (2): 231-?

    View details for PubMedID 10039958

  • SUPERCONDUCTIVITY AND THE QUANTUM HARD-CORE DIMER GAS PHYSICAL REVIEW LETTERS Rokhsar, D. S., Kivelson, S. A. 1988; 61 (20): 2376-2379
  • 2E OR NOT 2E - FLUX-QUANTIZATION IN THE RESONATING VALENCE BOND STATE EUROPHYSICS LETTERS Kivelson, S. A., Rokhsar, D. S., Sethna, J. P. 1988; 6 (4): 353-358
  • THE LOW-TEMPERATURE PROPERTIES OF A SHORT-RANGED RESONATING-VALENCE-BOND SUPERCONDUCTOR PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS Kivelson, S., Rokhsar, D. S. 1988; 153: 531-537
  • Effect of quasiparticle tunneling on quantum-phase fluctuations and the onset of superconductivity in granular films. Physical review. B, Condensed matter Chakravarty, Kivelson, Zimanyi, HALPERIN 1987; 35 (13): 7256-7259

    View details for PubMedID 9941017