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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
National Academy of Sciences
2023
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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. |
format | Online Article Text |
id | pubmed-9934301 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | National Academy of Sciences |
record_format | MEDLINE/PubMed |
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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