Thermalization and possible signatures of quantum chaos in complex crystalline materials
Abstract
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 hightemperature 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 $\tau ~\hslash /{k}_{B}T$ and a unique velocity ${v}_{E}$. Specifically, ${v}_{E}\approx {v}_{ph}$ for complex insulators, and ${v}_{ph}\lesssim {v}_{E}<<{v}_{F}$ in the presence of strongly correlated itinerant electrons ( ${v}_{ph}$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.
 Authors:

 Department of Physics, Stanford University, Stanford, CA 94305,, Geballe Laboratory for Advanced Materials, Stanford University, Stanford, CA 94305,
 Laboratoire Physique et Etude de Matériaux (CNRSSorbonne 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
 Publication Date:
 Research Org.:
 Stanford Univ., CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES)
 OSTI Identifier:
 1561414
 Alternate Identifier(s):
 OSTI ID: 1564086
 Grant/Contract Number:
 AC0276SF00515
 Resource Type:
 Published Article
 Journal Name:
 Proceedings of the National Academy of Sciences of the United States of America
 Additional Journal Information:
 Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 116 Journal Issue: 40; Journal ID: ISSN 00278424
 Publisher:
 Proceedings of the National Academy of Sciences
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum chaos; thermalization; thermal diffusivity; phonons
Citation Formats
Zhang, Jiecheng, Kountz, Erik D., Behnia, Kamran, and Kapitulnik, Aharon. Thermalization and possible signatures of quantum chaos in complex crystalline materials. United States: N. p., 2019.
Web. doi:10.1073/pnas.1910131116.
Zhang, Jiecheng, Kountz, Erik D., Behnia, Kamran, & Kapitulnik, Aharon. Thermalization and possible signatures of quantum chaos in complex crystalline materials. United States. https://doi.org/10.1073/pnas.1910131116
Zhang, Jiecheng, Kountz, Erik D., Behnia, Kamran, and Kapitulnik, Aharon. Thu .
"Thermalization and possible signatures of quantum chaos in complex crystalline materials". United States. https://doi.org/10.1073/pnas.1910131116.
@article{osti_1561414,
title = {Thermalization and possible signatures of quantum chaos in complex crystalline materials},
author = {Zhang, Jiecheng and Kountz, Erik D. and Behnia, Kamran and Kapitulnik, Aharon},
abstractNote = {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 hightemperature 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/kBT and a unique velocity vE. Specifically,vE≈vph for complex insulators, and vph≲vE<<vF in the presence of strongly correlated itinerant electrons (vphandvF 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.},
doi = {10.1073/pnas.1910131116},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 40,
volume = 116,
place = {United States},
year = {2019},
month = {9}
}
https://doi.org/10.1073/pnas.1910131116
Web of Science
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