Chiral partition functions of quantum Hall droplets

Autores
Cappelli, Andrea; Viola, Giovanni; 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: Viola, Giovanni. Instituto Nacional de Física Nuclear; Italia
Abstract: Chiral partition functions of conformal eld theory describe the edge exci- tations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a nite-dimensional representation of the modular group. The partition functions are derived and used to describe electron transitions leading to Coulomb blockade conductance peaks. We nd the peak patterns for Abelian hierarchical states and non- Abelian Read-Rezayi states, and compare them. Experimental observation of these features can check the qualitative properties of the conformal eld the- ory description, such as the decomposition of the Hilbert space into sectors, involving charged and neutral parts, and the fusion rules.
Materia
EFECTO HALL CUANTICO
FISICA
FUNCIONES DE PARTICION
MECANICA CUANTICA
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:123456789/5424
Acceder
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oai_identifier_str oai:ucacris:123456789/5424
network_acronym_str RIUCA
repository_id_str 2585
network_name_str Repositorio Institucional (UCA)
spelling Chiral partition functions of quantum Hall dropletsCappelli, AndreaViola, GiovanniZemba, Guillermo RaúlEFECTO HALL CUANTICOFISICAFUNCIONES DE PARTICIONMECANICA CUANTICAFil: Zemba, Guillermo Raúl. Facultad de Ciencias Fisicomatemáticas e Ingeniería. Pontificia Universidad Católica Argentina; ArgentinaFil: Cappelli, Andrea. Instituto Nacional de Física Nuclear; ItaliaFil: Viola, Giovanni. Instituto Nacional de Física Nuclear; ItaliaAbstract: Chiral partition functions of conformal eld theory describe the edge exci- tations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a nite-dimensional representation of the modular group. The partition functions are derived and used to describe electron transitions leading to Coulomb blockade conductance peaks. We nd the peak patterns for Abelian hierarchical states and non- Abelian Read-Rezayi states, and compare them. Experimental observation of these features can check the qualitative properties of the conformal eld the- ory description, such as the decomposition of the Hilbert space into sectors, involving charged and neutral parts, and the fusion rules.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/123456789/5424Cappelli A, Viola G, Zemba GR Chiral partition functions of quantum Hall droplets [en línea]. Documento de trabajo publicado en arXiv.org. 2009. Disponible en: https://repositorio.uca.edu.ar/handle/123456789/5424enginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/reponame:Repositorio Institucional (UCA)instname:Pontificia Universidad Católica Argentina2025-07-03T10:56:05Zoai:ucacris:123456789/5424instacron:UCAInstitucionalhttps://repositorio.uca.edu.ar/Universidad privadaNo correspondehttps://repositorio.uca.edu.ar/oaiclaudia_fernandez@uca.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:25852025-07-03 10:56:06.173Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentinafalse
dc.title.none.fl_str_mv Chiral partition functions of quantum Hall droplets
title Chiral partition functions of quantum Hall droplets
spellingShingle Chiral partition functions of quantum Hall droplets
Cappelli, Andrea
EFECTO HALL CUANTICO
FISICA
FUNCIONES DE PARTICION
MECANICA CUANTICA
title_short Chiral partition functions of quantum Hall droplets
title_full Chiral partition functions of quantum Hall droplets
title_fullStr Chiral partition functions of quantum Hall droplets
title_full_unstemmed Chiral partition functions of quantum Hall droplets
title_sort Chiral partition functions of quantum Hall droplets
dc.creator.none.fl_str_mv Cappelli, Andrea
Viola, Giovanni
Zemba, Guillermo Raúl
author Cappelli, Andrea
author_facet Cappelli, Andrea
Viola, Giovanni
Zemba, Guillermo Raúl
author_role author
author2 Viola, Giovanni
Zemba, Guillermo Raúl
author2_role author
author
dc.subject.none.fl_str_mv EFECTO HALL CUANTICO
FISICA
FUNCIONES DE PARTICION
MECANICA CUANTICA
topic EFECTO HALL CUANTICO
FISICA
FUNCIONES DE PARTICION
MECANICA CUANTICA
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: Viola, Giovanni. Instituto Nacional de Física Nuclear; Italia
Abstract: Chiral partition functions of conformal eld theory describe the edge exci- tations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a nite-dimensional representation of the modular group. The partition functions are derived and used to describe electron transitions leading to Coulomb blockade conductance peaks. We nd the peak patterns for Abelian hierarchical states and non- Abelian Read-Rezayi states, and compare them. Experimental observation of these features can check the qualitative properties of the conformal eld the- ory description, such as the decomposition of the Hilbert space into sectors, involving charged and neutral parts, and the fusion rules.
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/123456789/5424
Cappelli A, Viola G, Zemba GR Chiral partition functions of quantum Hall droplets [en línea]. Documento de trabajo publicado en arXiv.org. 2009. Disponible en: https://repositorio.uca.edu.ar/handle/123456789/5424
url https://repositorio.uca.edu.ar/handle/123456789/5424
identifier_str_mv Cappelli A, Viola G, Zemba GR Chiral partition functions of quantum Hall droplets [en línea]. Documento de trabajo publicado en arXiv.org. 2009. Disponible en: https://repositorio.uca.edu.ar/handle/123456789/5424
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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