Statistical transmutation in doped quantum dimer models

Autores
Lamas, Carlos Alberto; Ralko, Arnaud; Cabra, Daniel Carlos; Poilblanc, Didier; Pujol, Pierre
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 Z2 dimer liquid. Doping leads to four (instead of two for the square lattice) inequivalent families of Hamiltonians. Competition between phase separation, superfluidity, supersolidity, and fermi- onic phases is investigated in the four families.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
dimer model
statistical transmutation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/27433
Acceder
id SEDICI_947c7641788871f95fe9c97df4461ac9
oai_identifier_str oai:sedici.unlp.edu.ar:10915/27433
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Statistical transmutation in doped quantum dimer modelsLamas, Carlos AlbertoRalko, ArnaudCabra, Daniel CarlosPoilblanc, DidierPujol, PierreCiencias ExactasFísicadimer modelstatistical transmutationWe 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 Z2 dimer liquid. Doping leads to four (instead of two for the square lattice) inequivalent families of Hamiltonians. Competition between phase separation, superfluidity, supersolidity, and fermi- onic phases is investigated in the four families.Facultad de Ciencias Exactas2012-07info: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/10915/27433enginfo:eu-repo/semantics/altIdentifier/issn/0031-9007info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.109.016403info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar/Creative Commons Attribution 2.5 Argentina (CC BY 2.5)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T10:56:52Zoai:sedici.unlp.edu.ar:10915/27433Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 10:56:53.259SEDICI (UNLP) - Universidad Nacional de La Platafalse
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
Ciencias Exactas
Física
dimer model
statistical transmutation
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, Arnaud
Cabra, Daniel Carlos
Poilblanc, Didier
Pujol, Pierre
author Lamas, Carlos Alberto
author_facet Lamas, Carlos Alberto
Ralko, Arnaud
Cabra, Daniel Carlos
Poilblanc, Didier
Pujol, Pierre
author_role author
author2 Ralko, Arnaud
Cabra, Daniel Carlos
Poilblanc, Didier
Pujol, Pierre
author2_role author
author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
dimer model
statistical transmutation
topic Ciencias Exactas
Física
dimer model
statistical transmutation
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 Z2 dimer liquid. Doping leads to four (instead of two for the square lattice) inequivalent families of Hamiltonians. Competition between phase separation, superfluidity, supersolidity, and fermi- onic phases is investigated in the four families.
Facultad de Ciencias Exactas
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 Z2 dimer liquid. Doping leads to four (instead of two for the square lattice) inequivalent families of Hamiltonians. Competition between phase separation, superfluidity, supersolidity, and fermi- onic phases is investigated in the four families.
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
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/10915/27433
url http://sedici.unlp.edu.ar/handle/10915/27433
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0031-9007
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.109.016403
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar/
Creative Commons Attribution 2.5 Argentina (CC BY 2.5)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar/
Creative Commons Attribution 2.5 Argentina (CC BY 2.5)
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 13.070432

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