Quantum chaos on a critical Fermi surface

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 veloc...

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Bibliographic Details
Published inProceedings of the National Academy of Sciences - PNAS Vol. 114; no. 8; pp. 1844 - 1849
Main Authors Patel, Aavishkar A., Sachdev, Subir
Format Journal Article
LanguageEnglish
Published United States National Academy of Sciences 21.02.2017
Subjects
Approximation
Condensed matter physics
Density
Parameter estimation
Particle physics
Physical Sciences
Quantum physics
Thermal diffusivity
Velocity
quantum criticality
quantum chaos
thermal transport
non-Fermi liquids
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ISSN0027-8424
1091-6490
1091-6490
DOI10.1073/pnas.1618185114

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Summary: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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Reviewers: S.-S.L., McMaster University, Hamilton, ON, Canada; and J.M., University of California, San Diego.
Contributed by Subir Sachdev, December 31, 2016 (sent for review November 3, 2016; reviewed by Sung-Sik Lee and John McGreevy)
Author contributions: A.A.P. and S.S. designed research, performed research, and wrote the paper.
ISSN:0027-8424
1091-6490
1091-6490
DOI:10.1073/pnas.1618185114