Quantum Hall effect in graphene : A functional determinant approach

Autores
Beneventano, Carlota Gabriela; Santángelo, Eve Mariel
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external fields. We then summarize the main steps needed to obtain the Hall conductivity in the effective theory at finite temperature and density, with emphasis on its dependence on the phase of the Dirac determinant selected during the evaluation of the effective action. Finally, we discuss the behavior, under gauge transformations, of the contribution due to the lowest Landau level, and interpret gauge transformations as rotations of the corresponding spinors around the magnetic field.
Facultad de Ciencias Exactas
Materia
Física
Ciencias Exactas
Graphene
Hall conductivity
Dirac theory
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/124165
Acceder
id SEDICI_16215251bf79b5a262abe7796c463f86
oai_identifier_str oai:sedici.unlp.edu.ar:10915/124165
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Quantum Hall effect in graphene : A functional determinant approachBeneventano, Carlota GabrielaSantángelo, Eve MarielFísicaCiencias ExactasGrapheneHall conductivityDirac theoryWe start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external fields. We then summarize the main steps needed to obtain the Hall conductivity in the effective theory at finite temperature and density, with emphasis on its dependence on the phase of the Dirac determinant selected during the evaluation of the effective action. Finally, we discuss the behavior, under gauge transformations, of the contribution due to the lowest Landau level, and interpret gauge transformations as rotations of the corresponding spinors around the magnetic field.Facultad de Ciencias Exactas2008-04-09info: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/10915/124165enginfo:eu-repo/semantics/altIdentifier/issn/1751-8113info:eu-repo/semantics/altIdentifier/issn/1751-8121info:eu-repo/semantics/altIdentifier/arxiv/0710.4928info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/41/16/164035info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:21:18Zoai:sedici.unlp.edu.ar:10915/124165Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:21:18.419SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Quantum Hall effect in graphene : A functional determinant approach
title Quantum Hall effect in graphene : A functional determinant approach
spellingShingle Quantum Hall effect in graphene : A functional determinant approach
Beneventano, Carlota Gabriela
Física
Ciencias Exactas
Graphene
Hall conductivity
Dirac theory
title_short Quantum Hall effect in graphene : A functional determinant approach
title_full Quantum Hall effect in graphene : A functional determinant approach
title_fullStr Quantum Hall effect in graphene : A functional determinant approach
title_full_unstemmed Quantum Hall effect in graphene : A functional determinant approach
title_sort Quantum Hall effect in graphene : A functional determinant approach
dc.creator.none.fl_str_mv Beneventano, Carlota Gabriela
Santángelo, Eve Mariel
author Beneventano, Carlota Gabriela
author_facet Beneventano, Carlota Gabriela
Santángelo, Eve Mariel
author_role author
author2 Santángelo, Eve Mariel
author2_role author
dc.subject.none.fl_str_mv Física
Ciencias Exactas
Graphene
Hall conductivity
Dirac theory
topic Física
Ciencias Exactas
Graphene
Hall conductivity
Dirac theory
dc.description.none.fl_txt_mv We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external fields. We then summarize the main steps needed to obtain the Hall conductivity in the effective theory at finite temperature and density, with emphasis on its dependence on the phase of the Dirac determinant selected during the evaluation of the effective action. Finally, we discuss the behavior, under gauge transformations, of the contribution due to the lowest Landau level, and interpret gauge transformations as rotations of the corresponding spinors around the magnetic field.
Facultad de Ciencias Exactas
description We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external fields. We then summarize the main steps needed to obtain the Hall conductivity in the effective theory at finite temperature and density, with emphasis on its dependence on the phase of the Dirac determinant selected during the evaluation of the effective action. Finally, we discuss the behavior, under gauge transformations, of the contribution due to the lowest Landau level, and interpret gauge transformations as rotations of the corresponding spinors around the magnetic field.
publishDate 2008
dc.date.none.fl_str_mv 2008-04-09
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/10915/124165
url http://sedici.unlp.edu.ar/handle/10915/124165
dc.language.none.fl_str_mv eng
language eng
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/0710.4928
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/41/16/164035
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 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 13.22299

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