Quantum chaos on a critical Fermi surface

被引：122

作者：

Patel, Aavishkar A. ^{[1
]}

Sachdev, Subir ^{[1
,2
]}

机构：

[1] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

[2] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2017年 / 114卷 / 08期

基金：

美国国家科学基金会;

关键词：

quantum chaos; non-Fermi liquids; thermal transport; quantum criticality; NONZERO-TEMPERATURE TRANSPORT;

D O I：

10.1073/pnas.1618185114

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We compute parameters characterizing many-body quantum chaos for a critical Fermi surface without quasiparticle excitations. We examine a theory of N species of fermions at nonzero density coupled to a U(1) gauge field in two spatial dimensions and determine the Lyapunov rate and the butterfly velocity in an extended random-phase approximation. The thermal diffusivity is found to be universally related to these chaos parameters; i.e., the relationship is independent of N, the gauge-coupling constant, the Fermi velocity, the Fermi surface curvature, and high-energy details.

引用

页码：1844 / 1849

页数：6

共 37 条

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