Alternative Derivation of the Mean-Field Equations for Composite Fermions

Autores
Manavella, Edmundo Claudio; Repetto, Carlos Enrique
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The Hamiltonian describing a composite fermion system is usually presented in a phenomenological way. By using a classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of electrons, we show how to obtain the mean-field Hamiltonian describing composite fermions in 2+1 dimensions. In order to achieve this goal, the Dirac Hamiltonian formalism for constrained systems is used. Furthermore, we compare these results with the ones corresponding to the inclusion of a topological mass term for the electromagnetic field in the Lagrangian.
Fil: Manavella, Edmundo Claudio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Repetto, Carlos Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Materia
QUANTUM FIELD THEORY
FIELD THEORIES IN DIMENSIONS OTHER THAN FOUR
CHERN-SIMONS GAUGE THEORY
LAGRANGIAN AND HAMILTONIAN FORMALISMS
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:11336/52760
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/52760
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Alternative Derivation of the Mean-Field Equations for Composite FermionsManavella, Edmundo ClaudioRepetto, Carlos EnriqueQUANTUM FIELD THEORYFIELD THEORIES IN DIMENSIONS OTHER THAN FOURCHERN-SIMONS GAUGE THEORYLAGRANGIAN AND HAMILTONIAN FORMALISMShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The Hamiltonian describing a composite fermion system is usually presented in a phenomenological way. By using a classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of electrons, we show how to obtain the mean-field Hamiltonian describing composite fermions in 2+1 dimensions. In order to achieve this goal, the Dirac Hamiltonian formalism for constrained systems is used. Furthermore, we compare these results with the ones corresponding to the inclusion of a topological mass term for the electromagnetic field in the Lagrangian.Fil: Manavella, Edmundo Claudio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Repetto, Carlos Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaScientific Research2015-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/52760Manavella, Edmundo Claudio; Repetto, Carlos Enrique; Alternative Derivation of the Mean-Field Equations for Composite Fermions; Scientific Research; Journal of Modern Physics; 6; 12; 9-2015; 1737-17422153-1196CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2015.612175info:eu-repo/semantics/altIdentifier/url/http://file.scirp.org/Html/2-7502214_60108.htminfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:25:47Zoai:ri.conicet.gov.ar:11336/52760instacron: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:34982025-10-22 11:25:47.962CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Alternative Derivation of the Mean-Field Equations for Composite Fermions
title Alternative Derivation of the Mean-Field Equations for Composite Fermions
spellingShingle Alternative Derivation of the Mean-Field Equations for Composite Fermions
Manavella, Edmundo Claudio
QUANTUM FIELD THEORY
FIELD THEORIES IN DIMENSIONS OTHER THAN FOUR
CHERN-SIMONS GAUGE THEORY
LAGRANGIAN AND HAMILTONIAN FORMALISMS
title_short Alternative Derivation of the Mean-Field Equations for Composite Fermions
title_full Alternative Derivation of the Mean-Field Equations for Composite Fermions
title_fullStr Alternative Derivation of the Mean-Field Equations for Composite Fermions
title_full_unstemmed Alternative Derivation of the Mean-Field Equations for Composite Fermions
title_sort Alternative Derivation of the Mean-Field Equations for Composite Fermions
dc.creator.none.fl_str_mv Manavella, Edmundo Claudio
Repetto, Carlos Enrique
author Manavella, Edmundo Claudio
author_facet Manavella, Edmundo Claudio
Repetto, Carlos Enrique
author_role author
author2 Repetto, Carlos Enrique
author2_role author
dc.subject.none.fl_str_mv QUANTUM FIELD THEORY
FIELD THEORIES IN DIMENSIONS OTHER THAN FOUR
CHERN-SIMONS GAUGE THEORY
LAGRANGIAN AND HAMILTONIAN FORMALISMS
topic QUANTUM FIELD THEORY
FIELD THEORIES IN DIMENSIONS OTHER THAN FOUR
CHERN-SIMONS GAUGE THEORY
LAGRANGIAN AND HAMILTONIAN FORMALISMS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The Hamiltonian describing a composite fermion system is usually presented in a phenomenological way. By using a classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of electrons, we show how to obtain the mean-field Hamiltonian describing composite fermions in 2+1 dimensions. In order to achieve this goal, the Dirac Hamiltonian formalism for constrained systems is used. Furthermore, we compare these results with the ones corresponding to the inclusion of a topological mass term for the electromagnetic field in the Lagrangian.
Fil: Manavella, Edmundo Claudio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Repetto, Carlos Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
description The Hamiltonian describing a composite fermion system is usually presented in a phenomenological way. By using a classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of electrons, we show how to obtain the mean-field Hamiltonian describing composite fermions in 2+1 dimensions. In order to achieve this goal, the Dirac Hamiltonian formalism for constrained systems is used. Furthermore, we compare these results with the ones corresponding to the inclusion of a topological mass term for the electromagnetic field in the Lagrangian.
publishDate 2015
dc.date.none.fl_str_mv 2015-09
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/11336/52760
Manavella, Edmundo Claudio; Repetto, Carlos Enrique; Alternative Derivation of the Mean-Field Equations for Composite Fermions; Scientific Research; Journal of Modern Physics; 6; 12; 9-2015; 1737-1742
2153-1196
CONICET Digital
CONICET
url http://hdl.handle.net/11336/52760
identifier_str_mv Manavella, Edmundo Claudio; Repetto, Carlos Enrique; Alternative Derivation of the Mean-Field Equations for Composite Fermions; Scientific Research; Journal of Modern Physics; 6; 12; 9-2015; 1737-1742
2153-1196
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2015.612175
info:eu-repo/semantics/altIdentifier/url/http://file.scirp.org/Html/2-7502214_60108.htm
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 Scientific Research
publisher.none.fl_str_mv Scientific Research
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_ 1846781810081529856
score 12.982451

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