Publication: Quantum Chaos on a Critical Fermi Surface
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Date
2017-02-07
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Proceedings of the National Academy of Sciences
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Patel, Aavishkar A., and Subir Sachdev. 2017. Quantum Chaos on a Critical Fermi Surface. PNAS 114 , no. 8: 1844-1849.
Abstract
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.
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