Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene

Autores
Beneventano, Carlota Gabriela; Giacconi, Paola; Santángelo, Eve Mariel; Soldati, Roberto
Año de publicación
2009
Idioma
español castellano
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study 1-loop effects for massless Dirac fields in two spatial dimensions, coupled to homogeneous electromagnetic backgrounds, both at zero and at finite temperature and density. In the case of a purely magnetic field, we analyze the relationship between the invariance of the theory under large gauge transformations, the appearance of Chern-Simons terms and of different Berry's phases. In the case of a purely electric background field, we show that the effective Lagrangian is independent of the chemical potential and of the temperature. More interesting: we show that the minimal conductivity, as predicted by the quantum field theory, is the right multiple of the conductivity quantum and is, thus, consistent with the value measured for graphene, with no extra factor of pi in the denominator.
Instituto de Física La Plata
Materia
Física
Minimal conductivity
Graphene
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/123899
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/123899
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of grapheneBeneventano, Carlota GabrielaGiacconi, PaolaSantángelo, Eve MarielSoldati, RobertoFísicaMinimal conductivityGrapheneWe study 1-loop effects for massless Dirac fields in two spatial dimensions, coupled to homogeneous electromagnetic backgrounds, both at zero and at finite temperature and density. In the case of a purely magnetic field, we analyze the relationship between the invariance of the theory under large gauge transformations, the appearance of Chern-Simons terms and of different Berry's phases. In the case of a purely electric background field, we show that the effective Lagrangian is independent of the chemical potential and of the temperature. More interesting: we show that the minimal conductivity, as predicted by the quantum field theory, is the right multiple of the conductivity quantum and is, thus, consistent with the value measured for graphene, with no extra factor of pi in the denominator.Instituto de Física La Plata2009info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/123899spainfo:eu-repo/semantics/altIdentifier/issn/1751-8113info:eu-repo/semantics/altIdentifier/issn/1751-8121info:eu-repo/semantics/altIdentifier/arxiv/0901.0396info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/42/27/275401info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-17T10:12:09Zoai:sedici.unlp.edu.ar:10915/123899Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-17 10:12:09.822SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
spellingShingle Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
Beneventano, Carlota Gabriela
Física
Minimal conductivity
Graphene
title_short Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title_full Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title_fullStr Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title_full_unstemmed Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title_sort Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
dc.creator.none.fl_str_mv Beneventano, Carlota Gabriela
Giacconi, Paola
Santángelo, Eve Mariel
Soldati, Roberto
author Beneventano, Carlota Gabriela
author_facet Beneventano, Carlota Gabriela
Giacconi, Paola
Santángelo, Eve Mariel
Soldati, Roberto
author_role author
author2 Giacconi, Paola
Santángelo, Eve Mariel
Soldati, Roberto
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Minimal conductivity
Graphene
topic Física
Minimal conductivity
Graphene
dc.description.none.fl_txt_mv We study 1-loop effects for massless Dirac fields in two spatial dimensions, coupled to homogeneous electromagnetic backgrounds, both at zero and at finite temperature and density. In the case of a purely magnetic field, we analyze the relationship between the invariance of the theory under large gauge transformations, the appearance of Chern-Simons terms and of different Berry's phases. In the case of a purely electric background field, we show that the effective Lagrangian is independent of the chemical potential and of the temperature. More interesting: we show that the minimal conductivity, as predicted by the quantum field theory, is the right multiple of the conductivity quantum and is, thus, consistent with the value measured for graphene, with no extra factor of pi in the denominator.
Instituto de Física La Plata
description We study 1-loop effects for massless Dirac fields in two spatial dimensions, coupled to homogeneous electromagnetic backgrounds, both at zero and at finite temperature and density. In the case of a purely magnetic field, we analyze the relationship between the invariance of the theory under large gauge transformations, the appearance of Chern-Simons terms and of different Berry's phases. In the case of a purely electric background field, we show that the effective Lagrangian is independent of the chemical potential and of the temperature. More interesting: we show that the minimal conductivity, as predicted by the quantum field theory, is the right multiple of the conductivity quantum and is, thus, consistent with the value measured for graphene, with no extra factor of pi in the denominator.
publishDate 2009
dc.date.none.fl_str_mv 2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/123899
url http://sedici.unlp.edu.ar/handle/10915/123899
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1751-8113
info:eu-repo/semantics/altIdentifier/issn/1751-8121
info:eu-repo/semantics/altIdentifier/arxiv/0901.0396
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/42/27/275401
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.001348

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