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Monte Carlo Studies of Quantum Critical Metals
Annual Review of Condensed Matter Physics ( IF 14.3 ) Pub Date : 2019-03-11 00:00:00 , DOI: 10.1146/annurev-conmatphys-031218-013339
Erez Berg 1 , Samuel Lederer 2 , Yoni Schattner 3, 4 , Simon Trebst 5
Affiliation  

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.

中文翻译:


量子临界金属的蒙特卡洛研究

据信,金属量子临界现象在包括高温超导体在内的许多强相关材料中起着关键作用。从理论上讲,存在费米表面的量子临界问题已被证明是极具挑战性的。然而,最近已经意识到,用于描述这样的系统的许多模型都适合于通过量子蒙特卡罗(QMC)技术进行数值精确的求解,而不会遭受费米子征的问题。在这篇综述中,我们研究了对金属量子临界性的理解以及QMC模拟取得的最新进展。我们关注自旋密度波和Ising向列临界的情况。我们描述了迄今为止获得的结果及其对超导性,非费米液体行为的影响,并在金属量子临界点附近传输。突出了一些突出的难题和未来的方向。

更新日期:2019-03-11
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