Thermalization and possible signatures of quantum chaos in complex crystalline materials

Zhang, Jiecheng; Kountz, Erik D.; Behnia, Kamran; Kapitulnik, Aharon

doi:10.1073/pnas.1910131116

Title: Thermalization and possible signatures of quantum chaos in complex crystalline materials

Journal Article · Thu Sep 12 00:00:00 EDT 2019 · Proceedings of the National Academy of Sciences of the United States of America

DOI:https://doi.org/10.1073/pnas.1910131116· OSTI ID:1561414

^[1]; Kountz, Erik D. ^[1]; Behnia, Kamran ^[2]; Kapitulnik, Aharon ^[3]

Department of Physics, Stanford University, Stanford, CA 94305,, Geballe Laboratory for Advanced Materials, Stanford University, Stanford, CA 94305,
Laboratoire Physique et Etude de Matériaux (CNRS-Sorbonne Université), École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris, Université Paris Sciences et Lettres Research University, 75005 Paris, France,
Department of Physics, Stanford University, Stanford, CA 94305,, Geballe Laboratory for Advanced Materials, Stanford University, Stanford, CA 94305,, Department of Applied Physics, Stanford University, Stanford, CA 94305

Analyses of thermal diffusivity data on complex insulators and on strongly correlated electron systems hosted in similar complex crystal structures suggest that quantum chaos is a good description for thermalization processes in these systems, specifically in the high-temperature regime where the many phonon bands and their interactions dominate the thermal transport. In this work we observe that for these systems diffusive thermal transport is controlled by a universal Planckian timescale $τ ~ ℏ / k_{B} T$ and a unique velocity $v_{E}$ . Specifically, $v_{E} \approx v_{p h}$ for complex insulators, and $v_{p h} ≲ v_{E} << v_{F}$ in the presence of strongly correlated itinerant electrons ( $v_{p h}$ and $v_{F}$ are the phonon and electron velocities, respectively). For the complex correlated electron systems we further show that charge diffusivity, while also reaching the Planckian relaxation bound, is largely dominated by the Fermi velocity of the electrons, hence indicating that it is only the thermal (energy) diffusivity that describes chaos diffusivity.

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Research Organization:: Stanford Univ., CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1561414

Alternate ID(s):: OSTI ID: 1564086

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Vol. 116 Journal Issue: 40; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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