Maximal Quantum Chaos of the Critical Fermi Surface

Maria Tikhanovskaya, Subir Sachdev, and Aavishkar A. Patel
Phys. Rev. Lett. 129, 060601 – Published 3 August 2022
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Abstract

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 2πkBT/, 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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  • Received 14 February 2022
  • Accepted 14 July 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.060601

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsParticles & FieldsQuantum Information, Science & Technology

Authors & Affiliations

Maria Tikhanovskaya1, Subir Sachdev1,2, and Aavishkar A. Patel3

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 2School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540, USA
  • 3Department of Physics, University of California Berkeley, Berkeley, California 94720, USA

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Issue

Vol. 129, Iss. 6 — 5 August 2022

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