Effects of varying curvature and width on the electronic states of GaAs quantum rings

Detalhes bibliográficos
Autor(a) principal: Bruno-Alfonso,A.
Data de Publicação: 2006
Outros Autores: Oliveira,T. A. de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000300054
Resumo: Stationary states of an electron in thin GaAs elliptical quantum rings are calculated within the effective-mass approximation. The width of the ring varies smoothly along the centerline, which is an ellipse. The solutions of the Schrödinger equation with Dirichlet boundary conditions are approximated by a product of longitudinal and transversal wave functions. The ground-state probability density shows peaks: (i) where the curvature is larger in a constant-with ring, and (ii) in thicker parts of a circular ring. For rings of typical dimensions, it is shown that the effects of a varying width may be stronger than those of the varying curvature. Also, a width profile which compensates the main localization effects of the varying curvature is obtained.
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spelling Effects of varying curvature and width on the electronic states of GaAs quantum ringsElectronic statesGaAs elliptical quantum ringsEffective-mass approximationStationary states of an electron in thin GaAs elliptical quantum rings are calculated within the effective-mass approximation. The width of the ring varies smoothly along the centerline, which is an ellipse. The solutions of the Schrödinger equation with Dirichlet boundary conditions are approximated by a product of longitudinal and transversal wave functions. The ground-state probability density shows peaks: (i) where the curvature is larger in a constant-with ring, and (ii) in thicker parts of a circular ring. For rings of typical dimensions, it is shown that the effects of a varying width may be stronger than those of the varying curvature. Also, a width profile which compensates the main localization effects of the varying curvature is obtained.Sociedade Brasileira de Física2006-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000300054Brazilian Journal of Physics v.36 n.2a 2006reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332006000300054info:eu-repo/semantics/openAccessBruno-Alfonso,A.Oliveira,T. A. deeng2006-07-06T00:00:00Zoai:scielo:S0103-97332006000300054Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2006-07-06T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Effects of varying curvature and width on the electronic states of GaAs quantum rings
title Effects of varying curvature and width on the electronic states of GaAs quantum rings
spellingShingle Effects of varying curvature and width on the electronic states of GaAs quantum rings
Bruno-Alfonso,A.
Electronic states
GaAs elliptical quantum rings
Effective-mass approximation
title_short Effects of varying curvature and width on the electronic states of GaAs quantum rings
title_full Effects of varying curvature and width on the electronic states of GaAs quantum rings
title_fullStr Effects of varying curvature and width on the electronic states of GaAs quantum rings
title_full_unstemmed Effects of varying curvature and width on the electronic states of GaAs quantum rings
title_sort Effects of varying curvature and width on the electronic states of GaAs quantum rings
author Bruno-Alfonso,A.
author_facet Bruno-Alfonso,A.
Oliveira,T. A. de
author_role author
author2 Oliveira,T. A. de
author2_role author
dc.contributor.author.fl_str_mv Bruno-Alfonso,A.
Oliveira,T. A. de
dc.subject.por.fl_str_mv Electronic states
GaAs elliptical quantum rings
Effective-mass approximation
topic Electronic states
GaAs elliptical quantum rings
Effective-mass approximation
description Stationary states of an electron in thin GaAs elliptical quantum rings are calculated within the effective-mass approximation. The width of the ring varies smoothly along the centerline, which is an ellipse. The solutions of the Schrödinger equation with Dirichlet boundary conditions are approximated by a product of longitudinal and transversal wave functions. The ground-state probability density shows peaks: (i) where the curvature is larger in a constant-with ring, and (ii) in thicker parts of a circular ring. For rings of typical dimensions, it is shown that the effects of a varying width may be stronger than those of the varying curvature. Also, a width profile which compensates the main localization effects of the varying curvature is obtained.
publishDate 2006
dc.date.none.fl_str_mv 2006-06-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000300054
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000300054
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332006000300054
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.36 n.2a 2006
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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