Quantum chaos on a critical Fermi surface.
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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.
SUBMITTER: Patel AA
PROVIDER: S-EPMC5338377 | biostudies-other | 2017 Feb
REPOSITORIES: biostudies-other
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