Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect

Autores
Miravet Martinez, Daniel; Ferreira, G. J.; Proetto, Cesar Ramon
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
It is shown here that the exact-exchange (EE) formalism provides a natural and rigorous approach for a density functional theory (DFT) of the integer quantum Hall effect (IQHE). Application of a novel EE method to a quasi–two-dimensional electron gas (q2DEG) subjected to a perpendicular magnetic field leads to the following main findings. i) the microscopic exchange energy functional of the IQHE has been obtained, whose main feature being that it minimizes with a discontinuous derivative at every integer filling factor ν; ii) an analytical solution is found for the magnetic-field dependent EE potential, in the one-subband regime; iii) as a consequence of i), the EE potential display sharp discontinuities at every integer ν; and iv) the widely used local spin density approximation (LSDA) is strongly violated for filling factors close to integer values.
Fil: Miravet Martinez, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Ferreira, G. J.. Universidade Federal de Uberlândia; Brasil
Fil: Proetto, Cesar Ramon. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Materia
EXACT EXCHANGE
DENSITY FUNCTIONAL THEORY
HALL EFFECT
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/70709
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Exact exchange: A pathway for a density functional theory of the integer quantum Hall effectMiravet Martinez, DanielFerreira, G. J.Proetto, Cesar RamonEXACT EXCHANGEDENSITY FUNCTIONAL THEORYHALL EFFECThttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1It is shown here that the exact-exchange (EE) formalism provides a natural and rigorous approach for a density functional theory (DFT) of the integer quantum Hall effect (IQHE). Application of a novel EE method to a quasi–two-dimensional electron gas (q2DEG) subjected to a perpendicular magnetic field leads to the following main findings. i) the microscopic exchange energy functional of the IQHE has been obtained, whose main feature being that it minimizes with a discontinuous derivative at every integer filling factor ν; ii) an analytical solution is found for the magnetic-field dependent EE potential, in the one-subband regime; iii) as a consequence of i), the EE potential display sharp discontinuities at every integer ν; and iv) the widely used local spin density approximation (LSDA) is strongly violated for filling factors close to integer values.Fil: Miravet Martinez, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Ferreira, G. J.. Universidade Federal de Uberlândia; BrasilFil: Proetto, Cesar Ramon. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaIOP Publishing2017-11-14info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/70709Miravet Martinez, Daniel; Ferreira, G. J.; Proetto, Cesar Ramon; Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect; IOP Publishing; A Letters Journal Exploring the Frontiers of Physics; 119; 5; 14-11-2017; 57001/1-57001/80295-5075CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/119/57001info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1209/0295-5075/119/57001/metainfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1710.05082info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:42:33Zoai:ri.conicet.gov.ar:11336/70709instacron: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 10:42:33.441CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
title Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
spellingShingle Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
Miravet Martinez, Daniel
EXACT EXCHANGE
DENSITY FUNCTIONAL THEORY
HALL EFFECT
title_short Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
title_full Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
title_fullStr Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
title_full_unstemmed Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
title_sort Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect
dc.creator.none.fl_str_mv Miravet Martinez, Daniel
Ferreira, G. J.
Proetto, Cesar Ramon
author Miravet Martinez, Daniel
author_facet Miravet Martinez, Daniel
Ferreira, G. J.
Proetto, Cesar Ramon
author_role author
author2 Ferreira, G. J.
Proetto, Cesar Ramon
author2_role author
author
dc.subject.none.fl_str_mv EXACT EXCHANGE
DENSITY FUNCTIONAL THEORY
HALL EFFECT
topic EXACT EXCHANGE
DENSITY FUNCTIONAL THEORY
HALL EFFECT
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv It is shown here that the exact-exchange (EE) formalism provides a natural and rigorous approach for a density functional theory (DFT) of the integer quantum Hall effect (IQHE). Application of a novel EE method to a quasi–two-dimensional electron gas (q2DEG) subjected to a perpendicular magnetic field leads to the following main findings. i) the microscopic exchange energy functional of the IQHE has been obtained, whose main feature being that it minimizes with a discontinuous derivative at every integer filling factor ν; ii) an analytical solution is found for the magnetic-field dependent EE potential, in the one-subband regime; iii) as a consequence of i), the EE potential display sharp discontinuities at every integer ν; and iv) the widely used local spin density approximation (LSDA) is strongly violated for filling factors close to integer values.
Fil: Miravet Martinez, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Ferreira, G. J.. Universidade Federal de Uberlândia; Brasil
Fil: Proetto, Cesar Ramon. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
description It is shown here that the exact-exchange (EE) formalism provides a natural and rigorous approach for a density functional theory (DFT) of the integer quantum Hall effect (IQHE). Application of a novel EE method to a quasi–two-dimensional electron gas (q2DEG) subjected to a perpendicular magnetic field leads to the following main findings. i) the microscopic exchange energy functional of the IQHE has been obtained, whose main feature being that it minimizes with a discontinuous derivative at every integer filling factor ν; ii) an analytical solution is found for the magnetic-field dependent EE potential, in the one-subband regime; iii) as a consequence of i), the EE potential display sharp discontinuities at every integer ν; and iv) the widely used local spin density approximation (LSDA) is strongly violated for filling factors close to integer values.
publishDate 2017
dc.date.none.fl_str_mv 2017-11-14
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/11336/70709
Miravet Martinez, Daniel; Ferreira, G. J.; Proetto, Cesar Ramon; Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect; IOP Publishing; A Letters Journal Exploring the Frontiers of Physics; 119; 5; 14-11-2017; 57001/1-57001/8
0295-5075
CONICET Digital
CONICET
url http://hdl.handle.net/11336/70709
identifier_str_mv Miravet Martinez, Daniel; Ferreira, G. J.; Proetto, Cesar Ramon; Exact exchange: A pathway for a density functional theory of the integer quantum Hall effect; IOP Publishing; A Letters Journal Exploring the Frontiers of Physics; 119; 5; 14-11-2017; 57001/1-57001/8
0295-5075
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/119/57001
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1209/0295-5075/119/57001/meta
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1710.05082
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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
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score 13.070432

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