Journal
ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 10
Volume 10, Issue -, Pages 63-84Publisher
ANNUAL REVIEWS
DOI: 10.1146/annurev-conmatphys-031218-013339
Keywords
superconductivity; non-Fermi liquid; Ising nematic order; spin-density wave order; quantum Monte Carlo
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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.
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