Coulomb blockade in hierarchical quantum Hall droplets

Autores
Cappelli, Andrea; Georgiev, Lachezar S.; Zemba, Guillermo Raúl
Año de publicación
2009
Idioma
inglés
Tipo de recurso
documento de trabajo
Estado
versión publicada
Descripción
Fil: Zemba, Guillermo Raúl. Facultad de Ciencias Fisicomatemáticas e Ingeniería. Pontificia Universidad Católica Argentina; Argentina
Fil: Cappelli, Andrea. Instituto Nacional de Física Nuclear; Italia
Fil: Georgiev, Lachezar S. Instituto de Investigaciones Nucleares y Energía Nuclear; Bulgaria
Abstract: The degeneracy of energy levels in a quantum dot of Hall fluid, leading to conductance peaks, can be readily derived from the partition functions of conformal field theory. Their complete expressions can be found for Hall states with both Abelian and non-Abelian statistics, upon adapting known results for the annulus geometry. We analyze the Abelian states with hierarchical filling fractions, = m/(mp±1), and find a non trivial pattern of conductance peaks. In particular, each one of them occurs with a characteristic multiplicity, that is due to the extended symmetry of the m-folded edge. Experimental tests of the multiplicity can shed more light on the dynamics of this composite edge.
Materia
FUNCIONES DE PARTICION
ESTADOS JERARQUICOS ABELIANOS
NIVELES DE ENERGIA
EFECTO HALL CUANTICO
FLUIDOS
GEOMETRIA
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
Repositorio Institucional (UCA)
Institución
Pontificia Universidad Católica Argentina
OAI Identificador
oai:ucacris:123456789/5473
Acceder
id RIUCA_dab640d6ebfa67012b3b6e92f292852e
oai_identifier_str oai:ucacris:123456789/5473
network_acronym_str RIUCA
repository_id_str 2585
network_name_str Repositorio Institucional (UCA)
spelling Coulomb blockade in hierarchical quantum Hall dropletsCappelli, AndreaGeorgiev, Lachezar S.Zemba, Guillermo RaúlFUNCIONES DE PARTICIONESTADOS JERARQUICOS ABELIANOSNIVELES DE ENERGIAEFECTO HALL CUANTICOFLUIDOSGEOMETRIAFil: Zemba, Guillermo Raúl. Facultad de Ciencias Fisicomatemáticas e Ingeniería. Pontificia Universidad Católica Argentina; ArgentinaFil: Cappelli, Andrea. Instituto Nacional de Física Nuclear; ItaliaFil: Georgiev, Lachezar S. Instituto de Investigaciones Nucleares y Energía Nuclear; BulgariaAbstract: The degeneracy of energy levels in a quantum dot of Hall fluid, leading to conductance peaks, can be readily derived from the partition functions of conformal field theory. Their complete expressions can be found for Hall states with both Abelian and non-Abelian statistics, upon adapting known results for the annulus geometry. We analyze the Abelian states with hierarchical filling fractions, = m/(mp±1), and find a non trivial pattern of conductance peaks. In particular, each one of them occurs with a characteristic multiplicity, that is due to the extended symmetry of the m-folded edge. Experimental tests of the multiplicity can shed more light on the dynamics of this composite edge.2009info:eu-repo/semantics/workingPaperinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_8042info:ar-repo/semantics/documentoDeTrabajoapplication/pdfhttps://repositorio.uca.edu.ar/handle/123456789/5473Cappelli A, Georgiev LS, Zemba GR. Coulomb blockade in hierarchical quantum Hall droplets [en línea]. Documento de trabajo publicado en arXiv.org. 2009. Disponible en: https://repositorio.uca.edu.ar/handle/123456789/5473enginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/reponame:Repositorio Institucional (UCA)instname:Pontificia Universidad Católica Argentina2025-07-03T10:56:07Zoai:ucacris:123456789/5473instacron:UCAInstitucionalhttps://repositorio.uca.edu.ar/Universidad privadaNo correspondehttps://repositorio.uca.edu.ar/oaiclaudia_fernandez@uca.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:25852025-07-03 10:56:07.914Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentinafalse
dc.title.none.fl_str_mv Coulomb blockade in hierarchical quantum Hall droplets
title Coulomb blockade in hierarchical quantum Hall droplets
spellingShingle Coulomb blockade in hierarchical quantum Hall droplets
Cappelli, Andrea
FUNCIONES DE PARTICION
ESTADOS JERARQUICOS ABELIANOS
NIVELES DE ENERGIA
EFECTO HALL CUANTICO
FLUIDOS
GEOMETRIA
title_short Coulomb blockade in hierarchical quantum Hall droplets
title_full Coulomb blockade in hierarchical quantum Hall droplets
title_fullStr Coulomb blockade in hierarchical quantum Hall droplets
title_full_unstemmed Coulomb blockade in hierarchical quantum Hall droplets
title_sort Coulomb blockade in hierarchical quantum Hall droplets
dc.creator.none.fl_str_mv Cappelli, Andrea
Georgiev, Lachezar S.
Zemba, Guillermo Raúl
author Cappelli, Andrea
author_facet Cappelli, Andrea
Georgiev, Lachezar S.
Zemba, Guillermo Raúl
author_role author
author2 Georgiev, Lachezar S.
Zemba, Guillermo Raúl
author2_role author
author
dc.subject.none.fl_str_mv FUNCIONES DE PARTICION
ESTADOS JERARQUICOS ABELIANOS
NIVELES DE ENERGIA
EFECTO HALL CUANTICO
FLUIDOS
GEOMETRIA
topic FUNCIONES DE PARTICION
ESTADOS JERARQUICOS ABELIANOS
NIVELES DE ENERGIA
EFECTO HALL CUANTICO
FLUIDOS
GEOMETRIA
dc.description.none.fl_txt_mv Fil: Zemba, Guillermo Raúl. Facultad de Ciencias Fisicomatemáticas e Ingeniería. Pontificia Universidad Católica Argentina; Argentina
Fil: Cappelli, Andrea. Instituto Nacional de Física Nuclear; Italia
Fil: Georgiev, Lachezar S. Instituto de Investigaciones Nucleares y Energía Nuclear; Bulgaria
Abstract: The degeneracy of energy levels in a quantum dot of Hall fluid, leading to conductance peaks, can be readily derived from the partition functions of conformal field theory. Their complete expressions can be found for Hall states with both Abelian and non-Abelian statistics, upon adapting known results for the annulus geometry. We analyze the Abelian states with hierarchical filling fractions, = m/(mp±1), and find a non trivial pattern of conductance peaks. In particular, each one of them occurs with a characteristic multiplicity, that is due to the extended symmetry of the m-folded edge. Experimental tests of the multiplicity can shed more light on the dynamics of this composite edge.
description Fil: Zemba, Guillermo Raúl. Facultad de Ciencias Fisicomatemáticas e Ingeniería. Pontificia Universidad Católica Argentina; Argentina
publishDate 2009
dc.date.none.fl_str_mv 2009
dc.type.none.fl_str_mv info:eu-repo/semantics/workingPaper
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_8042
info:ar-repo/semantics/documentoDeTrabajo
format workingPaper
status_str publishedVersion
dc.identifier.none.fl_str_mv https://repositorio.uca.edu.ar/handle/123456789/5473
Cappelli A, Georgiev LS, Zemba GR. Coulomb blockade in hierarchical quantum Hall droplets [en línea]. Documento de trabajo publicado en arXiv.org. 2009. Disponible en: https://repositorio.uca.edu.ar/handle/123456789/5473
url https://repositorio.uca.edu.ar/handle/123456789/5473
identifier_str_mv Cappelli A, Georgiev LS, Zemba GR. Coulomb blockade in hierarchical quantum Hall droplets [en línea]. Documento de trabajo publicado en arXiv.org. 2009. Disponible en: https://repositorio.uca.edu.ar/handle/123456789/5473
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositorio Institucional (UCA)
instname:Pontificia Universidad Católica Argentina
reponame_str Repositorio Institucional (UCA)
collection Repositorio Institucional (UCA)
instname_str Pontificia Universidad Católica Argentina
repository.name.fl_str_mv Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentina
repository.mail.fl_str_mv claudia_fernandez@uca.edu.ar
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score 13.22299

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