Maximal quantum chaos of the critical Fermi surface

We investigate the many-body quantum chaos of non-Fermi liquid states with Fermi surfaces in two spatial dimensions by computing their out-of-time-order correlation functions. Using a recently proposed large \(N\) theory for the critical Fermi surface, and the ladder identity of Gu and Kitaev, we sh...

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Bibliographic Details
Published in:arXiv.org 2022-05
Main Authors: Tikhanovskaya, Maria, Sachdev, Subir, Patel, Aavishkar A
Format: Article
Language:English
Subjects:
Fermi liquids
Fermi surfaces
Liapunov exponents
Temperature
Online Access:Get full text
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Summary:We investigate the many-body quantum chaos of non-Fermi liquid states with Fermi surfaces in two spatial dimensions by computing their out-of-time-order correlation functions. Using a recently proposed large \(N\) theory for the critical Fermi surface, and the ladder identity of Gu and Kitaev, we show that the chaos Lyapunov exponent takes the maximal value of \(2 \pi k_B T/\hbar\), where \(T\) is the absolute temperature. We also examine a phenomenological model in which the chaos exponent becomes smaller than the maximal value precisely when quasiparticles are restored.
ISSN:2331-8422
DOI:10.48550/arxiv.2202.01845