On brillouin zones and related constructions

In this paper we discuss the physical and geometrical content of the various equivalent definitions that have been given so far in the literature of a crystal's Brillouin zones. This serves as a motivation to introduce a computationally and conceptually simpler definition. Calculation ofBrillou...

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Detalles Bibliográficos
Autor: M.G. Jurado-Taracena
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:México
Institución:Instituto Tecnológico y de Estudios Superiores de Monterrey
Repositorio:Redalyc-ITESM
OAI Identifier:oai:redalyc.org:57024209006
Acceso en línea:https://www.redalyc.org/articulo.oa?id=57024209006
Access Level:acceso abierto
Palabra clave:Física, Astronomía y Matemáticas
Bravais lattices
Landsberg subzones
reduced zone scheme
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spelling On brillouin zones and related constructionsM.G. Jurado-TaracenaFísica, Astronomía y MatemáticasBravais latticesLandsberg subzonesreduced zone schemeIn this paper we discuss the physical and geometrical content of the various equivalent definitions that have been given so far in the literature of a crystal's Brillouin zones. This serves as a motivation to introduce a computationally and conceptually simpler definition. Calculation ofBrillouin-zone related properties in two-dimensional lattices is carried out as an illustration of the versatility of this new approach, particularly a count of the number of Landsberg subzones in these Bravais lattices is given, which could be of interest for theoretical physics and numbertheory.Sociedad Mexicana de Física A.C.2011info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdf0035-001Xhttps://www.redalyc.org/articulo.oa?id=57024209006Revista Mexicana de Física (México) Num.1 Vol.57reponame:Redalyc-ITESMinstname:Instituto Tecnológico y de Estudios Superiores de Monterreyinstacron:ITESMenhttp://www.redalyc.org/revista.oa?id=570Revista Mexicana de Físicainfo:eu-repo/semantics/openAccessoai:redalyc.org:570242090062024-08-23T15:27:15Z
dc.title.none.fl_str_mv On brillouin zones and related constructions
title On brillouin zones and related constructions
spellingShingle On brillouin zones and related constructions
M.G. Jurado-Taracena
Física, Astronomía y Matemáticas
Bravais lattices
Landsberg subzones
reduced zone scheme
title_short On brillouin zones and related constructions
title_full On brillouin zones and related constructions
title_fullStr On brillouin zones and related constructions
title_full_unstemmed On brillouin zones and related constructions
title_sort On brillouin zones and related constructions
dc.creator.none.fl_str_mv M.G. Jurado-Taracena
author M.G. Jurado-Taracena
author_facet M.G. Jurado-Taracena
author_role author
dc.subject.none.fl_str_mv Física, Astronomía y Matemáticas
Bravais lattices
Landsberg subzones
reduced zone scheme
topic Física, Astronomía y Matemáticas
Bravais lattices
Landsberg subzones
reduced zone scheme
description In this paper we discuss the physical and geometrical content of the various equivalent definitions that have been given so far in the literature of a crystal's Brillouin zones. This serves as a motivation to introduce a computationally and conceptually simpler definition. Calculation ofBrillouin-zone related properties in two-dimensional lattices is carried out as an illustration of the versatility of this new approach, particularly a count of the number of Landsberg subzones in these Bravais lattices is given, which could be of interest for theoretical physics and numbertheory.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 0035-001X
https://www.redalyc.org/articulo.oa?id=57024209006
identifier_str_mv 0035-001X
url https://www.redalyc.org/articulo.oa?id=57024209006
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv http://www.redalyc.org/revista.oa?id=570
dc.rights.none.fl_str_mv Revista Mexicana de Física
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Revista Mexicana de Física
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Sociedad Mexicana de Física A.C.
publisher.none.fl_str_mv Sociedad Mexicana de Física A.C.
dc.source.none.fl_str_mv Revista Mexicana de Física (México) Num.1 Vol.57
reponame:Redalyc-ITESM
instname:Instituto Tecnológico y de Estudios Superiores de Monterrey
instacron:ITESM
instname_str Instituto Tecnológico y de Estudios Superiores de Monterrey
instacron_str ITESM
institution ITESM
reponame_str Redalyc-ITESM
collection Redalyc-ITESM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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