Chiral partition functions of quantum Hall droplets

Autores
Cappelli, Andrea; Viola, Giovanni; Zemba, Guillermo Raul
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Chiral partition functions of conformal field theory describe the edge excitations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a finite-dimensional representation of the modular group. The partition functions are derived and used to describe electron transitions leading to Coulomb blockade conductance peaks. We find 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 field theory description, such as the decomposition of the Hilbert space into sectors, involving charged and neutral parts, and the fusion rules. © 2009 Elsevier Inc. All rights reserved.
Fil: Cappelli, Andrea. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Viola, Giovanni. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Zemba, Guillermo Raul. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires". Facultad de Ciencias Fisicomatemáticas e Ingeniería; Argentina. Comisión Nacional de Energía Atómica; Argentina
Materia
Conformal Field Theory
Coulomb Blockade
Modular Invariance
Non-Abelian Statistics
Quantum 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:11336/53639
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/53639
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Chiral partition functions of quantum Hall dropletsCappelli, AndreaViola, GiovanniZemba, Guillermo RaulConformal Field TheoryCoulomb BlockadeModular InvarianceNon-Abelian StatisticsQuantum Hall Effecthttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Chiral partition functions of conformal field theory describe the edge excitations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a finite-dimensional representation of the modular group. The partition functions are derived and used to describe electron transitions leading to Coulomb blockade conductance peaks. We find 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 field theory description, such as the decomposition of the Hilbert space into sectors, involving charged and neutral parts, and the fusion rules. © 2009 Elsevier Inc. All rights reserved.Fil: Cappelli, Andrea. Istituto Nazionale di Fisica Nucleare; ItaliaFil: Viola, Giovanni. Istituto Nazionale di Fisica Nucleare; ItaliaFil: Zemba, Guillermo Raul. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires". Facultad de Ciencias Fisicomatemáticas e Ingeniería; Argentina. Comisión Nacional de Energía Atómica; ArgentinaAcademic Press Inc Elsevier Science2010-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/53639Cappelli, Andrea; Viola, Giovanni; Zemba, Guillermo Raul; Chiral partition functions of quantum Hall droplets; Academic Press Inc Elsevier Science; Annals of Physics (New York); 325; 2; 2-2010; 465-4900003-4916CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2009.10.007info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0003491609001985info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:52:09Zoai:ri.conicet.gov.ar:11336/53639instacron: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 09:52:09.79CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
Conformal Field Theory
Coulomb Blockade
Modular Invariance
Non-Abelian Statistics
Quantum Hall Effect
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 Raul
author Cappelli, Andrea
author_facet Cappelli, Andrea
Viola, Giovanni
Zemba, Guillermo Raul
author_role author
author2 Viola, Giovanni
Zemba, Guillermo Raul
author2_role author
author
dc.subject.none.fl_str_mv Conformal Field Theory
Coulomb Blockade
Modular Invariance
Non-Abelian Statistics
Quantum Hall Effect
topic Conformal Field Theory
Coulomb Blockade
Modular Invariance
Non-Abelian Statistics
Quantum 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 Chiral partition functions of conformal field theory describe the edge excitations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a finite-dimensional representation of the modular group. The partition functions are derived and used to describe electron transitions leading to Coulomb blockade conductance peaks. We find 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 field theory description, such as the decomposition of the Hilbert space into sectors, involving charged and neutral parts, and the fusion rules. © 2009 Elsevier Inc. All rights reserved.
Fil: Cappelli, Andrea. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Viola, Giovanni. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Zemba, Guillermo Raul. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires". Facultad de Ciencias Fisicomatemáticas e Ingeniería; Argentina. Comisión Nacional de Energía Atómica; Argentina
description Chiral partition functions of conformal field theory describe the edge excitations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a finite-dimensional representation of the modular group. The partition functions are derived and used to describe electron transitions leading to Coulomb blockade conductance peaks. We find 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 field theory description, such as the decomposition of the Hilbert space into sectors, involving charged and neutral parts, and the fusion rules. © 2009 Elsevier Inc. All rights reserved.
publishDate 2010
dc.date.none.fl_str_mv 2010-02
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/11336/53639
Cappelli, Andrea; Viola, Giovanni; Zemba, Guillermo Raul; Chiral partition functions of quantum Hall droplets; Academic Press Inc Elsevier Science; Annals of Physics (New York); 325; 2; 2-2010; 465-490
0003-4916
CONICET Digital
CONICET
url http://hdl.handle.net/11336/53639
identifier_str_mv Cappelli, Andrea; Viola, Giovanni; Zemba, Guillermo Raul; Chiral partition functions of quantum Hall droplets; Academic Press Inc Elsevier Science; Annals of Physics (New York); 325; 2; 2-2010; 465-490
0003-4916
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2009.10.007
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0003491609001985
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
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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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