Professional Education


  • Master of Science, Hebrew University Of Jerusalem (2012)
  • Bachelor of Science, Hebrew University Of Jerusalem (2009)
  • Doctor of Philosophy, Weizmann Institute Of Science (2017)

All Publications


  • 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)
  • Numerical approaches for calculating the low-field dc Hall coefficient of the doped Hubbard model PHYSICAL REVIEW RESEARCH Wang, W. O., Ding, J. K., Moritz, B., Schattner, Y., Huang, E. W., Devereaux, T. P. 2021; 3 (3)
  • Normal State Properties of Quantum Critical Metals at Finite Temperature PHYSICAL REVIEW X Klein, A., Chubukov, A., Schattner, Y., Berg, E. 2020; 10 (3)
  • Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: A Monte Carlo study PHYSICAL REVIEW RESEARCH Bauer, C., Schattner, Y., Trebst, S., Berg, E. 2020; 2 (2)
  • Modeling Unconventional Superconductivity at the Crossover between Strong and Weak Electronic Interactions. Physical review letters Christensen, M. H., Wang, X. n., Schattner, Y. n., Berg, E. n., Fernandes, R. M. 2020; 125 (24): 247001

    Abstract

    High-temperature superconductivity emerges in many different quantum materials, often in regions of the phase diagram where the electronic kinetic energy is comparable to the electron-electron repulsion. Describing such intermediate-coupling regimes has proven challenging as standard perturbative approaches are inapplicable. Here, we employ quantum Monte Carlo methods to solve a multiband Hubbard model that does not suffer from the sign problem and in which only repulsive interband interactions are present. In contrast to previous sign-problem-free studies, we treat magnetic, superconducting, and charge degrees of freedom on an equal footing. We find an antiferromagnetic dome accompanied by a metal-to-insulator crossover line in the intermediate-coupling regime, with a smaller superconducting dome appearing in the metallic region. Across the antiferromagnetic dome, the magnetic fluctuations change from overdamped in the metallic region to propagating in the insulating region. Our findings shed new light on the intertwining between superconductivity, magnetism, and charge correlations in quantum materials.

    View details for DOI 10.1103/PhysRevLett.125.247001

    View details for PubMedID 33412040

  • Monte Carlo Studies of Quantum Critical Metals ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 10 Berg, E., Lederer, S., Schattner, Y., Trebst, S., Sachdev, S., Marchetti, M. C. 2019; 10: 63–84
  • Fragility of Charge Order Near an Antiferromagnetic Quantum Critical Point PHYSICAL REVIEW LETTERS Wang, X., Wang, Y., Schattner, Y., Berg, E., Fernandes, R. M. 2018; 120 (24): 247002

    Abstract

    We investigate the interplay between charge order and superconductivity near an antiferromagnetic quantum critical point using sign-problem-free Quantum Monte Carlo simulations. We establish that, when the electronic dispersion is particle-hole symmetric, the system has an emergent SU(2) symmetry that implies a degeneracy between d-wave superconductivity and charge order with d-wave form factor. Deviations from particle-hole symmetry, however, rapidly lift this degeneracy, despite the fact that the SU(2) symmetry is preserved at low energies. As a result, we find a strong suppression of charge order caused by the competing, leading superconducting instability. Across the antiferromagnetic phase transition, we also observe a shift in the charge order wave vector from diagonal to axial. We discuss the implications of our results to the universal phase diagram of antiferromagnetic quantum-critical metals and to the elucidation of the charge order experimentally observed in the cuprates.

    View details for PubMedID 29956998

  • 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

  • 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)
  • 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