Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes

Autores
Sourrouille, Lucas
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Starting from the zero modes of the Dirac-Weyl equation for Landau levels in the symmetric gauge, wepropose a novel mechanism to construct the eigenvalues and its eigenfunctions. We show that theproblem may be addressed without numerical calculation and only solving the Dirac-Weyl equationfor the zero modes. Specifically, the eigenstates associated to the negative magneticfield configurationsmay be constructed from the zero mode with positive chirality. In addition, we obtain that theeigenstates associated to the positive magneticfield configurations may be constructed from the zeromode with negative chirality. Finally, we show that our mechanism may be used to obtain theeigenvalues and eigenfunctions of the Hamiltonian corresponding to bilayer graphene system.
Fil: Sourrouille, Lucas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina. IMDEA Nanociencia, Madrid; España
Materia
Gaugefields
Landau Level
Zero Modes
Quantum mechanics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/94749
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/94749
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Spin-1/2 Landau levels in the symmetric gauge from the zero energy modesSourrouille, LucasGaugefieldsLandau LevelZero ModesQuantum mechanicshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Starting from the zero modes of the Dirac-Weyl equation for Landau levels in the symmetric gauge, wepropose a novel mechanism to construct the eigenvalues and its eigenfunctions. We show that theproblem may be addressed without numerical calculation and only solving the Dirac-Weyl equationfor the zero modes. Specifically, the eigenstates associated to the negative magneticfield configurationsmay be constructed from the zero mode with positive chirality. In addition, we obtain that theeigenstates associated to the positive magneticfield configurations may be constructed from the zeromode with negative chirality. Finally, we show that our mechanism may be used to obtain theeigenvalues and eigenfunctions of the Hamiltonian corresponding to bilayer graphene system.Fil: Sourrouille, Lucas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina. IMDEA Nanociencia, Madrid; EspañaIOPscience2018-04-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/94749Sourrouille, Lucas; Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes; IOPscience; Journal of Physics Communications; 2; 25-4-2018; 0450302399-6528CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/2399-6528/aabdf3info:eu-repo/semantics/altIdentifier/doi/10.1088/2399-6528/aabdf3info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:41:37Zoai:ri.conicet.gov.ar:11336/94749instacron: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:34982025-09-29 10:41:37.661CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
title Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
spellingShingle Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
Sourrouille, Lucas
Gaugefields
Landau Level
Zero Modes
Quantum mechanics
title_short Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
title_full Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
title_fullStr Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
title_full_unstemmed Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
title_sort Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
dc.creator.none.fl_str_mv Sourrouille, Lucas
author Sourrouille, Lucas
author_facet Sourrouille, Lucas
author_role author
dc.subject.none.fl_str_mv Gaugefields
Landau Level
Zero Modes
Quantum mechanics
topic Gaugefields
Landau Level
Zero Modes
Quantum mechanics
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Starting from the zero modes of the Dirac-Weyl equation for Landau levels in the symmetric gauge, wepropose a novel mechanism to construct the eigenvalues and its eigenfunctions. We show that theproblem may be addressed without numerical calculation and only solving the Dirac-Weyl equationfor the zero modes. Specifically, the eigenstates associated to the negative magneticfield configurationsmay be constructed from the zero mode with positive chirality. In addition, we obtain that theeigenstates associated to the positive magneticfield configurations may be constructed from the zeromode with negative chirality. Finally, we show that our mechanism may be used to obtain theeigenvalues and eigenfunctions of the Hamiltonian corresponding to bilayer graphene system.
Fil: Sourrouille, Lucas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina. IMDEA Nanociencia, Madrid; España
description Starting from the zero modes of the Dirac-Weyl equation for Landau levels in the symmetric gauge, wepropose a novel mechanism to construct the eigenvalues and its eigenfunctions. We show that theproblem may be addressed without numerical calculation and only solving the Dirac-Weyl equationfor the zero modes. Specifically, the eigenstates associated to the negative magneticfield configurationsmay be constructed from the zero mode with positive chirality. In addition, we obtain that theeigenstates associated to the positive magneticfield configurations may be constructed from the zeromode with negative chirality. Finally, we show that our mechanism may be used to obtain theeigenvalues and eigenfunctions of the Hamiltonian corresponding to bilayer graphene system.
publishDate 2018
dc.date.none.fl_str_mv 2018-04-25
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/11336/94749
Sourrouille, Lucas; Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes; IOPscience; Journal of Physics Communications; 2; 25-4-2018; 045030
2399-6528
CONICET Digital
CONICET
url http://hdl.handle.net/11336/94749
identifier_str_mv Sourrouille, Lucas; Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes; IOPscience; Journal of Physics Communications; 2; 25-4-2018; 045030
2399-6528
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/2399-6528/aabdf3
info:eu-repo/semantics/altIdentifier/doi/10.1088/2399-6528/aabdf3
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOPscience
publisher.none.fl_str_mv IOPscience
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
_version_ 1844614447379775488
score 13.070432

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