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Solving metallic quantum criticality in a casino

1. Monte Carlo Studies of Quantum Critical Metals Authors: E. Berg, S. Lederer, Y. Schattner, and S. Trebst Annual Reviews of Condensed Matter Physics, arXiv:1804.01988 2. Superconductivity mediated by quantum critical antiferromagnetic fluctuations: The rise and fall of hot spots Authors: X. Wang, Y. Schattner, E. Berg, and R. M. Fernandes Physical Review B 95, […]

Journal Club for Condensed Matter PhysicsNov 30, 20182 citations

The roles of antiferromagnetic and nematic fluctuations in cuprate superconductors: a sign-free quantum Monte-Carlo study

Zixiang Li, Hong Yao, Fa Wang +1 more

Bulletin of the American Physical SocietyMar 18, 20160 citations

Monte Carlo Studies of Quantum Critical Metals

Erez Berg, Samuel Lederer, Yoni Schattner +1 more

Metallic quantum critical phenomena are believed to play a key role in many strongly correlated materials, including high-temperature superconductors. Theoretically, the problem of quantum criticality in the presence of a Fermi surface has proven to be highly challenging. However, it has recently been realized that many models used to describe such systems are amenable to numerically exact solution by quantum Monte Carlo (QMC) techniques, without suffering from the fermion sign problem. In this review, we examine the status of the understanding of metallic quantum criticality and the recent progress made by QMC simulations. We focus on the cases of spin-density wave and Ising nematic criticality. We describe the results obtained so far and their implications for superconductivity, non-Fermi liquid behavior, and transport near metallic quantum critical points. Some of the outstanding puzzles and future directions are highlighted.Metallic quantum critical phenomena are believed to play a key role in many strongly correlated materials, including high-temperature superconductors. Theoretically, the problem of quantum criticality in the presence of a Fermi surface has proven to be highly challenging. However, it has recently been realized that many models used to describe such systems are amenable to numerically exact solution by quantum Monte Carlo (QMC) techniques, without suffering from the fermion sign problem. In this review, we examine the status of the understanding of metallic quantum criticality and the recent progress made by QMC simulations. We focus on the cases of spin-density wave and Ising nematic criticality. We describe the results obtained so far and their implications for superconductivity, non-Fermi liquid behavior, and transport near metallic quantum critical points. Some of the outstanding puzzles and future directions are highlighted.

arXiv:1804.01988Annual Review of Condensed Matter PhysicsNov 16, 2018104 citations

Ising nematic quantum critical point in a metal: a Monte Carlo study

Samuel Lederer

Bulletin of the American Physical SocietyMar 15, 20160 citations

Ising Nematic Quantum Critical Point in a Metal: A Monte Carlo Study

Yoni Schattner, Samuel Lederer, Steven Allan Kivelson +1 more

Some of the remarkable behaviors of strongly correlated metals may be controlled by quantum phase transitions. An exact numerical method is used to reveal the properties of a model exhibiting a quantum phase transition between an isotropic and a nematic metal.

arXiv:1511.03282Physical Review XAug 23, 2016157 citations

Quantum Monte Carlo study of the nematic quantum critical point in a metal

Yoni Schattner, Samuel Lederer, Erez Berg +1 more

Bulletin of the American Physical SocietyMar 2, 20150 citations

Getting a grip on quantum criticality in metals

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Getting a grip on quantum criticality in metals

Abstract

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