Normal State Properties of Quantum Critical Metals at Finite Temperature

We study the effects of finite temperature on normal state properties of a metal near a quantum critical point to an antiferromagnetic or Ising-nematic state. At T=0, bosonic and fermionic self-energies are traditionally computed within Eliashberg theory, and they obey scaling relations with charact...

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Autores principales:	Avraham Klein, Andrey V. Chubukov, Yoni Schattner, Erez Berg
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/906585b021cc4e33b5aface5d47d71a9
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spelling	oai:doaj.org-article:906585b021cc4e33b5aface5d47d71a92021-12-02T12:24:47ZNormal State Properties of Quantum Critical Metals at Finite Temperature10.1103/PhysRevX.10.0310532160-3308https://doaj.org/article/906585b021cc4e33b5aface5d47d71a92020-09-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.031053http://doi.org/10.1103/PhysRevX.10.031053https://doaj.org/toc/2160-3308We study the effects of finite temperature on normal state properties of a metal near a quantum critical point to an antiferromagnetic or Ising-nematic state. At T=0, bosonic and fermionic self-energies are traditionally computed within Eliashberg theory, and they obey scaling relations with characteristic power laws. Corrections to Eliashberg theory break these power laws but only at very small frequencies. Quantum Monte Carlo (QMC) simulations have shown that, already at much larger frequencies, there are strong systematic deviations from these predictions, casting doubt on the validity of the theoretical analysis. We extend Eliashberg theory to finite T and argue that in the T range accessible in the QMC simulations above the superconducting transition, the scaling forms for both fermionic and bosonic self-energies are quite different from those at T=0. We compare finite T results with QMC data and find good agreement for both systems. We argue that this agreement resolves the key apparent contradiction between the theory and the QMC simulations.Avraham KleinAndrey V. ChubukovYoni SchattnerErez BergAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 3, p 031053 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Avraham Klein Andrey V. Chubukov Yoni Schattner Erez Berg Normal State Properties of Quantum Critical Metals at Finite Temperature
description	We study the effects of finite temperature on normal state properties of a metal near a quantum critical point to an antiferromagnetic or Ising-nematic state. At T=0, bosonic and fermionic self-energies are traditionally computed within Eliashberg theory, and they obey scaling relations with characteristic power laws. Corrections to Eliashberg theory break these power laws but only at very small frequencies. Quantum Monte Carlo (QMC) simulations have shown that, already at much larger frequencies, there are strong systematic deviations from these predictions, casting doubt on the validity of the theoretical analysis. We extend Eliashberg theory to finite T and argue that in the T range accessible in the QMC simulations above the superconducting transition, the scaling forms for both fermionic and bosonic self-energies are quite different from those at T=0. We compare finite T results with QMC data and find good agreement for both systems. We argue that this agreement resolves the key apparent contradiction between the theory and the QMC simulations.
format	article
author	Avraham Klein Andrey V. Chubukov Yoni Schattner Erez Berg
author_facet	Avraham Klein Andrey V. Chubukov Yoni Schattner Erez Berg
author_sort	Avraham Klein
title	Normal State Properties of Quantum Critical Metals at Finite Temperature
title_short	Normal State Properties of Quantum Critical Metals at Finite Temperature
title_full	Normal State Properties of Quantum Critical Metals at Finite Temperature
title_fullStr	Normal State Properties of Quantum Critical Metals at Finite Temperature
title_full_unstemmed	Normal State Properties of Quantum Critical Metals at Finite Temperature
title_sort	normal state properties of quantum critical metals at finite temperature
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/906585b021cc4e33b5aface5d47d71a9
work_keys_str_mv	AT avrahamklein normalstatepropertiesofquantumcriticalmetalsatfinitetemperature AT andreyvchubukov normalstatepropertiesofquantumcriticalmetalsatfinitetemperature AT yonischattner normalstatepropertiesofquantumcriticalmetalsatfinitetemperature AT erezberg normalstatepropertiesofquantumcriticalmetalsatfinitetemperature
_version_	1718394465446526976

Normal State Properties of Quantum Critical Metals at Finite Temperature

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