Effect of the boundary shape in the effective theory of fractional quantum Hall edges

Autores
Cabra, Daniel Carlos; Grandi, Nicolás Esteban
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Starting from a microscopic description of a system of strongly interacting electrons in a strong magnetic field in a finite geometry, we construct the boundary low energy effective theory for a fractional quantum Hall droplet taking into account the effects of a smooth edge. The effective theory obtained is the standard chiral boson theory (chiral Luttinger theory) with an additional self-interacting term which is induced by the boundary. As an example of the consequences of this model, we show that such modification leads to a nonuniversal reduction in the tunneling exponent which is independent of the filling fraction. This is in qualitative agreement with experiments, which systematically found exponents smaller than those predicted by the ordinary chiral Luttinger liquid theory.
Facultad de Ciencias Exactas
Materia
Física
Physics
Quasiparticle
Effective field theory
Luttinger liquid
Quantum hall effect
Nambu–jona-lasinio model
Condensed matter physics
Boundary (topology)
Quantum mechanics
Fractional quantum hall effect
Boson
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/126330
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/126330
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Effect of the boundary shape in the effective theory of fractional quantum Hall edgesCabra, Daniel CarlosGrandi, Nicolás EstebanFísicaPhysicsQuasiparticleEffective field theoryLuttinger liquidQuantum hall effectNambu–jona-lasinio modelCondensed matter physicsBoundary (topology)Quantum mechanicsFractional quantum hall effectBosonStarting from a microscopic description of a system of strongly interacting electrons in a strong magnetic field in a finite geometry, we construct the boundary low energy effective theory for a fractional quantum Hall droplet taking into account the effects of a smooth edge. The effective theory obtained is the standard chiral boson theory (chiral Luttinger theory) with an additional self-interacting term which is induced by the boundary. As an example of the consequences of this model, we show that such modification leads to a nonuniversal reduction in the tunneling exponent which is independent of the filling fraction. This is in qualitative agreement with experiments, which systematically found exponents smaller than those predicted by the ordinary chiral Luttinger liquid theory.Facultad de Ciencias Exactas2008-03-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126330enginfo:eu-repo/semantics/altIdentifier/issn/1098-0121info:eu-repo/semantics/altIdentifier/issn/1550-235Xinfo:eu-repo/semantics/altIdentifier/arxiv/0706.0825info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevb.77.115107info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:11:17Zoai:sedici.unlp.edu.ar:10915/126330Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:11:17.31SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title Effect of the boundary shape in the effective theory of fractional quantum Hall edges
spellingShingle Effect of the boundary shape in the effective theory of fractional quantum Hall edges
Cabra, Daniel Carlos
Física
Physics
Quasiparticle
Effective field theory
Luttinger liquid
Quantum hall effect
Nambu–jona-lasinio model
Condensed matter physics
Boundary (topology)
Quantum mechanics
Fractional quantum hall effect
Boson
title_short Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title_full Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title_fullStr Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title_full_unstemmed Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title_sort Effect of the boundary shape in the effective theory of fractional quantum Hall edges
dc.creator.none.fl_str_mv Cabra, Daniel Carlos
Grandi, Nicolás Esteban
author Cabra, Daniel Carlos
author_facet Cabra, Daniel Carlos
Grandi, Nicolás Esteban
author_role author
author2 Grandi, Nicolás Esteban
author2_role author
dc.subject.none.fl_str_mv Física
Physics
Quasiparticle
Effective field theory
Luttinger liquid
Quantum hall effect
Nambu–jona-lasinio model
Condensed matter physics
Boundary (topology)
Quantum mechanics
Fractional quantum hall effect
Boson
topic Física
Physics
Quasiparticle
Effective field theory
Luttinger liquid
Quantum hall effect
Nambu–jona-lasinio model
Condensed matter physics
Boundary (topology)
Quantum mechanics
Fractional quantum hall effect
Boson
dc.description.none.fl_txt_mv Starting from a microscopic description of a system of strongly interacting electrons in a strong magnetic field in a finite geometry, we construct the boundary low energy effective theory for a fractional quantum Hall droplet taking into account the effects of a smooth edge. The effective theory obtained is the standard chiral boson theory (chiral Luttinger theory) with an additional self-interacting term which is induced by the boundary. As an example of the consequences of this model, we show that such modification leads to a nonuniversal reduction in the tunneling exponent which is independent of the filling fraction. This is in qualitative agreement with experiments, which systematically found exponents smaller than those predicted by the ordinary chiral Luttinger liquid theory.
Facultad de Ciencias Exactas
description Starting from a microscopic description of a system of strongly interacting electrons in a strong magnetic field in a finite geometry, we construct the boundary low energy effective theory for a fractional quantum Hall droplet taking into account the effects of a smooth edge. The effective theory obtained is the standard chiral boson theory (chiral Luttinger theory) with an additional self-interacting term which is induced by the boundary. As an example of the consequences of this model, we show that such modification leads to a nonuniversal reduction in the tunneling exponent which is independent of the filling fraction. This is in qualitative agreement with experiments, which systematically found exponents smaller than those predicted by the ordinary chiral Luttinger liquid theory.
publishDate 2008
dc.date.none.fl_str_mv 2008-03-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/126330
url http://sedici.unlp.edu.ar/handle/10915/126330
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1098-0121
info:eu-repo/semantics/altIdentifier/issn/1550-235X
info:eu-repo/semantics/altIdentifier/arxiv/0706.0825
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevb.77.115107
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 12.982451

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