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A stability bound on the [Formula: see text]-linear resistivity of conventional metals

Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is 1/τ(tr) = 2πλT, where λ is a dimensionless strength of the electron–phonon coupling. The fact that measured values satisfy λ ≲ 1 has been noted in...

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Autores principales: Murthy, Chaitanya, Pandey, Akshat, Esterlis, Ilya, Kivelson, Steven A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9934301/
https://www.ncbi.nlm.nih.gov/pubmed/36634139
http://dx.doi.org/10.1073/pnas.2216241120
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author Murthy, Chaitanya
Pandey, Akshat
Esterlis, Ilya
Kivelson, Steven A.
author_facet Murthy, Chaitanya
Pandey, Akshat
Esterlis, Ilya
Kivelson, Steven A.
author_sort Murthy, Chaitanya
collection PubMed
description Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is 1/τ(tr) = 2πλT, where λ is a dimensionless strength of the electron–phonon coupling. The fact that measured values satisfy λ ≲ 1 has been noted in the context of a possible “Planckian” bound on transport. However, since the electron–phonon scattering is quasielastic in this regime, no such Planckian considerations can be relevant. We present and analyze Monte Carlo results on the Holstein model which show that a different sort of bound is at play: a “stability” bound on λ consistent with metallic transport. We conjecture that a qualitatively similar bound on the strength of residual interactions, which is often stronger than Planckian, may apply to metals more generally.
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spelling pubmed-99343012023-07-12 A stability bound on the [Formula: see text]-linear resistivity of conventional metals Murthy, Chaitanya Pandey, Akshat Esterlis, Ilya Kivelson, Steven A. Proc Natl Acad Sci U S A Physical Sciences Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is 1/τ(tr) = 2πλT, where λ is a dimensionless strength of the electron–phonon coupling. The fact that measured values satisfy λ ≲ 1 has been noted in the context of a possible “Planckian” bound on transport. However, since the electron–phonon scattering is quasielastic in this regime, no such Planckian considerations can be relevant. We present and analyze Monte Carlo results on the Holstein model which show that a different sort of bound is at play: a “stability” bound on λ consistent with metallic transport. We conjecture that a qualitatively similar bound on the strength of residual interactions, which is often stronger than Planckian, may apply to metals more generally. National Academy of Sciences 2023-01-12 2023-01-17 /pmc/articles/PMC9934301/ /pubmed/36634139 http://dx.doi.org/10.1073/pnas.2216241120 Text en Copyright © 2023 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by-nc-nd/4.0/This article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND) (https://creativecommons.org/licenses/by-nc-nd/4.0/) .
spellingShingle Physical Sciences
Murthy, Chaitanya
Pandey, Akshat
Esterlis, Ilya
Kivelson, Steven A.
A stability bound on the [Formula: see text]-linear resistivity of conventional metals
title A stability bound on the [Formula: see text]-linear resistivity of conventional metals
title_full A stability bound on the [Formula: see text]-linear resistivity of conventional metals
title_fullStr A stability bound on the [Formula: see text]-linear resistivity of conventional metals
title_full_unstemmed A stability bound on the [Formula: see text]-linear resistivity of conventional metals
title_short A stability bound on the [Formula: see text]-linear resistivity of conventional metals
title_sort stability bound on the [formula: see text]-linear resistivity of conventional metals
topic Physical Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9934301/
https://www.ncbi.nlm.nih.gov/pubmed/36634139
http://dx.doi.org/10.1073/pnas.2216241120
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