Maximal Quantum Chaos of the Critical Fermi Surface,Physical Review Letters

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Maximal Quantum Chaos of the Critical Fermi Surface
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-03 , DOI: 10.1103/physrevlett.129.060601
Maria Tikhanovskaya ₁ , Subir Sachdev _{1,

2} , Aavishkar A Patel ₃

Affiliation

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 π k_{B} T / ℏ

, where

T

is the absolute temperature. We also examine a phenomenological model that can be continuously tuned between a non-Fermi liquid without quasiparticles and a Fermi liquid with quasiparticles. We find that the Lyapunov exponent becomes smaller than the maximal value precisely when quasiparticles are restored.

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