Quantum chaos on a critical Fermi surface.

Abstract:

:We compute parameters characterizing many-body quantum chaos for a critical Fermi surface without quasiparticle excitations. We examine a theory of [Formula: see text] species of fermions at nonzero density coupled to a [Formula: see text] 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 [Formula: see text], the gauge-coupling constant, the Fermi velocity, the Fermi surface curvature, and high-energy details.

authors

Patel AA,Sachdev S

doi

10.1073/pnas.1618185114

subject

Has Abstract

pub_date

2017-02-21 00:00:00

pages

1844-1849

issue

8

eissn

0027-8424

issn

1091-6490

pii

1618185114

journal_volume

114

pub_type

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