Statistical transmutation in doped quantum dimer models

Autores
Lamas, Carlos Alberto; Ralko, A.; Cabra, D.C.; Poilblanc, D.; Pujol, P.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove a "statistical transmutation" symmetry of doped quantum dimer models on the square, triangular, and kagome lattices: the energy spectrum is invariant under a simultaneous change of statistics (i.e., bosonic into fermionic or vice versa) of the holes and of the signs of all the dimer resonance loops. This exact transformation enables us to define the duality equivalence between doped quantum dimer Hamiltonians and provides the analytic framework to analyze dynamical statistical transmutations. We investigate numerically the doping of the triangular quantum dimer model with special focus on the topological Z 2 dimer liquid. Doping leads to four (instead of two for the square lattice) inequivalent families of Hamiltonians. Competition between phase separation, superfluidity, supersolidity, and fermionic phases is investigated in the four families. © 2012 American Physical Society.
Fil: Lamas, Carlos Alberto. Université de Toulouse; Francia
Fil: Ralko, A.. Centre National de la Recherche Scientifique; Francia
Fil: Cabra, D.C.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Poilblanc, D.. Université de Toulouse; Francia
Fil: Pujol, P.. Université de Toulouse; Francia
Materia
Modelos de dímeros Quánticos
Superconductividad
Superfluidez
Transmutación estadística
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:11336/74575
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/74575
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Statistical transmutation in doped quantum dimer modelsLamas, Carlos AlbertoRalko, A.Cabra, D.C.Poilblanc, D.Pujol, P.Modelos de dímeros QuánticosSuperconductividadSuperfluidezTransmutación estadísticahttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We prove a "statistical transmutation" symmetry of doped quantum dimer models on the square, triangular, and kagome lattices: the energy spectrum is invariant under a simultaneous change of statistics (i.e., bosonic into fermionic or vice versa) of the holes and of the signs of all the dimer resonance loops. This exact transformation enables us to define the duality equivalence between doped quantum dimer Hamiltonians and provides the analytic framework to analyze dynamical statistical transmutations. We investigate numerically the doping of the triangular quantum dimer model with special focus on the topological Z 2 dimer liquid. Doping leads to four (instead of two for the square lattice) inequivalent families of Hamiltonians. Competition between phase separation, superfluidity, supersolidity, and fermionic phases is investigated in the four families. © 2012 American Physical Society.Fil: Lamas, Carlos Alberto. Université de Toulouse; FranciaFil: Ralko, A.. Centre National de la Recherche Scientifique; FranciaFil: Cabra, D.C.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Poilblanc, D.. Université de Toulouse; FranciaFil: Pujol, P.. Université de Toulouse; FranciaAmerican Physical Society2012-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/74575Lamas, Carlos Alberto; Ralko, A.; Cabra, D.C.; Poilblanc, D.; Pujol, P.; Statistical transmutation in doped quantum dimer models; American Physical Society; Physical Review Letters; 109; 1; 7-2012; 16403-164080031-9007CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.109.016403info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.016403info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:57:43Zoai:ri.conicet.gov.ar:11336/74575instacron: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:34982025-09-03 09:57:43.445CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Statistical transmutation in doped quantum dimer models
title Statistical transmutation in doped quantum dimer models
spellingShingle Statistical transmutation in doped quantum dimer models
Lamas, Carlos Alberto
Modelos de dímeros Quánticos
Superconductividad
Superfluidez
Transmutación estadística
title_short Statistical transmutation in doped quantum dimer models
title_full Statistical transmutation in doped quantum dimer models
title_fullStr Statistical transmutation in doped quantum dimer models
title_full_unstemmed Statistical transmutation in doped quantum dimer models
title_sort Statistical transmutation in doped quantum dimer models
dc.creator.none.fl_str_mv Lamas, Carlos Alberto
Ralko, A.
Cabra, D.C.
Poilblanc, D.
Pujol, P.
author Lamas, Carlos Alberto
author_facet Lamas, Carlos Alberto
Ralko, A.
Cabra, D.C.
Poilblanc, D.
Pujol, P.
author_role author
author2 Ralko, A.
Cabra, D.C.
Poilblanc, D.
Pujol, P.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Modelos de dímeros Quánticos
Superconductividad
Superfluidez
Transmutación estadística
topic Modelos de dímeros Quánticos
Superconductividad
Superfluidez
Transmutación estadística
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We prove a "statistical transmutation" symmetry of doped quantum dimer models on the square, triangular, and kagome lattices: the energy spectrum is invariant under a simultaneous change of statistics (i.e., bosonic into fermionic or vice versa) of the holes and of the signs of all the dimer resonance loops. This exact transformation enables us to define the duality equivalence between doped quantum dimer Hamiltonians and provides the analytic framework to analyze dynamical statistical transmutations. We investigate numerically the doping of the triangular quantum dimer model with special focus on the topological Z 2 dimer liquid. Doping leads to four (instead of two for the square lattice) inequivalent families of Hamiltonians. Competition between phase separation, superfluidity, supersolidity, and fermionic phases is investigated in the four families. © 2012 American Physical Society.
Fil: Lamas, Carlos Alberto. Université de Toulouse; Francia
Fil: Ralko, A.. Centre National de la Recherche Scientifique; Francia
Fil: Cabra, D.C.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Poilblanc, D.. Université de Toulouse; Francia
Fil: Pujol, P.. Université de Toulouse; Francia
description We prove a "statistical transmutation" symmetry of doped quantum dimer models on the square, triangular, and kagome lattices: the energy spectrum is invariant under a simultaneous change of statistics (i.e., bosonic into fermionic or vice versa) of the holes and of the signs of all the dimer resonance loops. This exact transformation enables us to define the duality equivalence between doped quantum dimer Hamiltonians and provides the analytic framework to analyze dynamical statistical transmutations. We investigate numerically the doping of the triangular quantum dimer model with special focus on the topological Z 2 dimer liquid. Doping leads to four (instead of two for the square lattice) inequivalent families of Hamiltonians. Competition between phase separation, superfluidity, supersolidity, and fermionic phases is investigated in the four families. © 2012 American Physical Society.
publishDate 2012
dc.date.none.fl_str_mv 2012-07
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/11336/74575
Lamas, Carlos Alberto; Ralko, A.; Cabra, D.C.; Poilblanc, D.; Pujol, P.; Statistical transmutation in doped quantum dimer models; American Physical Society; Physical Review Letters; 109; 1; 7-2012; 16403-16408
0031-9007
CONICET Digital
CONICET
url http://hdl.handle.net/11336/74575
identifier_str_mv Lamas, Carlos Alberto; Ralko, A.; Cabra, D.C.; Poilblanc, D.; Pujol, P.; Statistical transmutation in doped quantum dimer models; American Physical Society; Physical Review Letters; 109; 1; 7-2012; 16403-16408
0031-9007
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.109.016403
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.016403
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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 13.13397

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