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Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments

Alexander Kruchkov, Aavishkar A. Patel, Philip Kim, and Subir Sachdev
Phys. Rev. B 101, 205148 – Published 29 May 2020

Abstract

The Sachdev-Ye-Kitaev (SYK) model describes electrons with random and all-to-all interactions and realizes a many-body state without quasiparticle excitations and a nonvanishing extensive entropy S0 in the zero-temperature limit. Its low-energy theory coincides with the low-energy theory of near-extremal charged black holes with Bekenstein-Hawking entropy S0. Several mesoscopic experimental configurations realizing SYK quantum dynamics over a significant intermediate temperature scale have been proposed. We investigate quantum thermoelectric transport in such configurations and describe low-temperature crossovers out of SYK criticality into regimes either with Fermi liquid behavior, with a Coulomb blockade, or criticality associated with Schwarzian quantum gravity fluctuations. Our results show that thermopower measurements can serve as a direct probe for S0.

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  • Received 26 December 2019
  • Accepted 1 May 2020

DOI:https://doi.org/10.1103/PhysRevB.101.205148

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Alexander Kruchkov1, Aavishkar A. Patel2, Philip Kim1, and Subir Sachdev1,*

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 2Department of Physics, University of California, Berkeley, Berkeley, California 94720, USA

  • *sachdev@g.harvard.edu

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Vol. 101, Iss. 20 — 15 May 2020

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