Quantum rings of arbitrary shape and non-uniform width in a threading magnetic field

Detalhes bibliográficos
Autor(a) principal: Bruno-Alfonso, A. [UNESP]
Data de Publicação: 2008
Outros Autores: Latgé, A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevB.77.205303
http://hdl.handle.net/11449/225152
Resumo: The electronic states of quantum rings with centerlines of arbitrary shape and non-uniform width in a threading magnetic field are calculated. The solutions of the Schrödinger equation with Dirichlet boundary conditions are obtained by a variational separation of variables in curvilinear coordinates. We obtain a width profile that compensates for the main effects of the curvature variations in the centerline. Numerical results are shown for circular, elliptical, and limaçon-shaped quantum rings. We also show that smooth and tiny variations in the width may strongly affect the Aharonov-Bohm oscillations. © 2008 The American Physical Society.
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spelling Quantum rings of arbitrary shape and non-uniform width in a threading magnetic fieldThe electronic states of quantum rings with centerlines of arbitrary shape and non-uniform width in a threading magnetic field are calculated. The solutions of the Schrödinger equation with Dirichlet boundary conditions are obtained by a variational separation of variables in curvilinear coordinates. We obtain a width profile that compensates for the main effects of the curvature variations in the centerline. Numerical results are shown for circular, elliptical, and limaçon-shaped quantum rings. We also show that smooth and tiny variations in the width may strongly affect the Aharonov-Bohm oscillations. © 2008 The American Physical Society.Departamento de Matemática Faculdade de Ciências UNESP, Universidade Estadual Paulista, Avenida Luiz Edmundo Carrijo Coube 14-01, 17033-360 Bauru, São PauloInstituto de Física Universidade Federal Fluminense, 24210-346 Niterói, Rio de JaneiroDepartamento de Matemática Faculdade de Ciências UNESP, Universidade Estadual Paulista, Avenida Luiz Edmundo Carrijo Coube 14-01, 17033-360 Bauru, São PauloUniversidade Estadual Paulista (UNESP)Universidade Federal Fluminense (UFF)Bruno-Alfonso, A. [UNESP]Latgé, A.2022-04-28T20:40:14Z2022-04-28T20:40:14Z2008-05-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevB.77.205303Physical Review B - Condensed Matter and Materials Physics, v. 77, n. 20, 2008.1098-01211550-235Xhttp://hdl.handle.net/11449/22515210.1103/PhysRevB.77.2053032-s2.0-43049130726Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review B - Condensed Matter and Materials Physicsinfo:eu-repo/semantics/openAccess2024-04-29T14:59:42Zoai:repositorio.unesp.br:11449/225152Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:49:34.589055Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Quantum rings of arbitrary shape and non-uniform width in a threading magnetic field
title Quantum rings of arbitrary shape and non-uniform width in a threading magnetic field
spellingShingle Quantum rings of arbitrary shape and non-uniform width in a threading magnetic field
Bruno-Alfonso, A. [UNESP]
title_short Quantum rings of arbitrary shape and non-uniform width in a threading magnetic field
title_full Quantum rings of arbitrary shape and non-uniform width in a threading magnetic field
title_fullStr Quantum rings of arbitrary shape and non-uniform width in a threading magnetic field
title_full_unstemmed Quantum rings of arbitrary shape and non-uniform width in a threading magnetic field
title_sort Quantum rings of arbitrary shape and non-uniform width in a threading magnetic field
author Bruno-Alfonso, A. [UNESP]
author_facet Bruno-Alfonso, A. [UNESP]
Latgé, A.
author_role author
author2 Latgé, A.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Federal Fluminense (UFF)
dc.contributor.author.fl_str_mv Bruno-Alfonso, A. [UNESP]
Latgé, A.
description The electronic states of quantum rings with centerlines of arbitrary shape and non-uniform width in a threading magnetic field are calculated. The solutions of the Schrödinger equation with Dirichlet boundary conditions are obtained by a variational separation of variables in curvilinear coordinates. We obtain a width profile that compensates for the main effects of the curvature variations in the centerline. Numerical results are shown for circular, elliptical, and limaçon-shaped quantum rings. We also show that smooth and tiny variations in the width may strongly affect the Aharonov-Bohm oscillations. © 2008 The American Physical Society.
publishDate 2008
dc.date.none.fl_str_mv 2008-05-02
2022-04-28T20:40:14Z
2022-04-28T20:40:14Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevB.77.205303
Physical Review B - Condensed Matter and Materials Physics, v. 77, n. 20, 2008.
1098-0121
1550-235X
http://hdl.handle.net/11449/225152
10.1103/PhysRevB.77.205303
2-s2.0-43049130726
url http://dx.doi.org/10.1103/PhysRevB.77.205303
http://hdl.handle.net/11449/225152
identifier_str_mv Physical Review B - Condensed Matter and Materials Physics, v. 77, n. 20, 2008.
1098-0121
1550-235X
10.1103/PhysRevB.77.205303
2-s2.0-43049130726
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review B - Condensed Matter and Materials Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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