Superconductivity versus quantum criticality: Effects of thermal fluctuations

Autores
Wang, Huajia; Wang, Yuxuan; Torroba, Gonzalo
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the interplay between superconductivity and non-Fermi liquid behavior of a Fermi surface coupled to a massless SU(N) matrix boson near the quantum critical point. The presence of thermal infrared singularities in both the fermionic self-energy and the gap equation invalidates the Eliashberg approximation, and makes the quantum-critical pairing problem qualitatively different from that at zero temperature. Taking the large N limit, we solve the gap equation beyond the Eliashberg approximation, and obtain the superconducting temperature Tc as a function of N. Our results show an anomalous scaling between the zeroerature gap and Tc. For N greater than a critical value, we find that Tc vanishes with a Berezinskii-Kosterlitz-Thouless scaling behavior, and the system retains non-Fermi liquid behavior down to zero temperature. This confirms and extends previous renormalization-group analyses done at T=0, and provides a controlled example of a naked quantum critical point. We discuss the crucial role of thermal fluctuations in relating our results with earlier work where superconductivity always develops due to the special role of the first Matsubara frequency.
Fil: Wang, Huajia. University of Illinois. Urbana - Champaign; Estados Unidos
Fil: Wang, Yuxuan. University of Illinois. Urbana - Champaign; Estados Unidos
Fil: Torroba, Gonzalo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Superconductivity
Non-Fermi liquids
Large N
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/98002
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/98002
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network_name_str CONICET Digital (CONICET)
spelling Superconductivity versus quantum criticality: Effects of thermal fluctuationsWang, HuajiaWang, YuxuanTorroba, GonzaloSuperconductivityNon-Fermi liquidsLarge Nhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the interplay between superconductivity and non-Fermi liquid behavior of a Fermi surface coupled to a massless SU(N) matrix boson near the quantum critical point. The presence of thermal infrared singularities in both the fermionic self-energy and the gap equation invalidates the Eliashberg approximation, and makes the quantum-critical pairing problem qualitatively different from that at zero temperature. Taking the large N limit, we solve the gap equation beyond the Eliashberg approximation, and obtain the superconducting temperature Tc as a function of N. Our results show an anomalous scaling between the zeroerature gap and Tc. For N greater than a critical value, we find that Tc vanishes with a Berezinskii-Kosterlitz-Thouless scaling behavior, and the system retains non-Fermi liquid behavior down to zero temperature. This confirms and extends previous renormalization-group analyses done at T=0, and provides a controlled example of a naked quantum critical point. We discuss the crucial role of thermal fluctuations in relating our results with earlier work where superconductivity always develops due to the special role of the first Matsubara frequency.Fil: Wang, Huajia. University of Illinois. Urbana - Champaign; Estados UnidosFil: Wang, Yuxuan. University of Illinois. Urbana - Champaign; Estados UnidosFil: Torroba, Gonzalo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAmerican Physical Society2018-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/98002Wang, Huajia; Wang, Yuxuan; Torroba, Gonzalo; Superconductivity versus quantum criticality: Effects of thermal fluctuations; American Physical Society; Physical Review B; 97; 5; 2-20182469-9950CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.97.054502info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.054502info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1708.04624info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:03:21Zoai:ri.conicet.gov.ar:11336/98002instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 15:03:21.538CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Superconductivity versus quantum criticality: Effects of thermal fluctuations
title Superconductivity versus quantum criticality: Effects of thermal fluctuations
spellingShingle Superconductivity versus quantum criticality: Effects of thermal fluctuations
Wang, Huajia
Superconductivity
Non-Fermi liquids
Large N
title_short Superconductivity versus quantum criticality: Effects of thermal fluctuations
title_full Superconductivity versus quantum criticality: Effects of thermal fluctuations
title_fullStr Superconductivity versus quantum criticality: Effects of thermal fluctuations
title_full_unstemmed Superconductivity versus quantum criticality: Effects of thermal fluctuations
title_sort Superconductivity versus quantum criticality: Effects of thermal fluctuations
dc.creator.none.fl_str_mv Wang, Huajia
Wang, Yuxuan
Torroba, Gonzalo
author Wang, Huajia
author_facet Wang, Huajia
Wang, Yuxuan
Torroba, Gonzalo
author_role author
author2 Wang, Yuxuan
Torroba, Gonzalo
author2_role author
author
dc.subject.none.fl_str_mv Superconductivity
Non-Fermi liquids
Large N
topic Superconductivity
Non-Fermi liquids
Large N
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the interplay between superconductivity and non-Fermi liquid behavior of a Fermi surface coupled to a massless SU(N) matrix boson near the quantum critical point. The presence of thermal infrared singularities in both the fermionic self-energy and the gap equation invalidates the Eliashberg approximation, and makes the quantum-critical pairing problem qualitatively different from that at zero temperature. Taking the large N limit, we solve the gap equation beyond the Eliashberg approximation, and obtain the superconducting temperature Tc as a function of N. Our results show an anomalous scaling between the zeroerature gap and Tc. For N greater than a critical value, we find that Tc vanishes with a Berezinskii-Kosterlitz-Thouless scaling behavior, and the system retains non-Fermi liquid behavior down to zero temperature. This confirms and extends previous renormalization-group analyses done at T=0, and provides a controlled example of a naked quantum critical point. We discuss the crucial role of thermal fluctuations in relating our results with earlier work where superconductivity always develops due to the special role of the first Matsubara frequency.
Fil: Wang, Huajia. University of Illinois. Urbana - Champaign; Estados Unidos
Fil: Wang, Yuxuan. University of Illinois. Urbana - Champaign; Estados Unidos
Fil: Torroba, Gonzalo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We study the interplay between superconductivity and non-Fermi liquid behavior of a Fermi surface coupled to a massless SU(N) matrix boson near the quantum critical point. The presence of thermal infrared singularities in both the fermionic self-energy and the gap equation invalidates the Eliashberg approximation, and makes the quantum-critical pairing problem qualitatively different from that at zero temperature. Taking the large N limit, we solve the gap equation beyond the Eliashberg approximation, and obtain the superconducting temperature Tc as a function of N. Our results show an anomalous scaling between the zeroerature gap and Tc. For N greater than a critical value, we find that Tc vanishes with a Berezinskii-Kosterlitz-Thouless scaling behavior, and the system retains non-Fermi liquid behavior down to zero temperature. This confirms and extends previous renormalization-group analyses done at T=0, and provides a controlled example of a naked quantum critical point. We discuss the crucial role of thermal fluctuations in relating our results with earlier work where superconductivity always develops due to the special role of the first Matsubara frequency.
publishDate 2018
dc.date.none.fl_str_mv 2018-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/98002
Wang, Huajia; Wang, Yuxuan; Torroba, Gonzalo; Superconductivity versus quantum criticality: Effects of thermal fluctuations; American Physical Society; Physical Review B; 97; 5; 2-2018
2469-9950
CONICET Digital
CONICET
url http://hdl.handle.net/11336/98002
identifier_str_mv Wang, Huajia; Wang, Yuxuan; Torroba, Gonzalo; Superconductivity versus quantum criticality: Effects of thermal fluctuations; American Physical Society; Physical Review B; 97; 5; 2-2018
2469-9950
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.97.054502
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.054502
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1708.04624
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.891075

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