Hole statistics and superfluid phases in quantum dimer models

Quantum dimer models (QDMs) arise as low-energy effective models for frustrated magnets. Some of these models have proven successful in generating a scenario for exotic spin liquid phases with deconfined spinons. Doping, i.e., the introduction of mobile holes, has been considered within the QDM fra...

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Detalles Bibliográficos
Autores principales: Lamas, Carlos Alberto, Ralko, Arnaud, Oshikawa, Masaki, Poilblanc, Didier, Pujol, Pierre
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Ciencias Exactas
Física
quantum dimer model
superconducting phase
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/27431
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-27431
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
quantum dimer model
superconducting phase
spellingShingle Ciencias Exactas
Física
quantum dimer model
superconducting phase
Lamas, Carlos Alberto
Ralko, Arnaud
Oshikawa, Masaki
Poilblanc, Didier
Pujol, Pierre
Hole statistics and superfluid phases in quantum dimer models
topic_facet Ciencias Exactas
Física
quantum dimer model
superconducting phase
description Quantum dimer models (QDMs) arise as low-energy effective models for frustrated magnets. Some of these models have proven successful in generating a scenario for exotic spin liquid phases with deconfined spinons. Doping, i.e., the introduction of mobile holes, has been considered within the QDM framework and partially studied. A fundamental issue is the possible existence of a superconducting phase in such systems and its properties. For this purpose, the question of the statistics of the mobile holes (or “holons”) shall be addressed first. Such issues are studied in detail in this paper for generic doped QDMs defined on the most common two-dimensional lattices (square, triangular, honeycomb, kagome, . . .) and involving general resonant loops. We prove a general “statistical transmutation” symmetry of such doped QDMs by using composite operators of dimers and holes. This exact transformation enables us to define duality equivalence classes (or families) of doped QDMs, and provides the analytic framework to analyze dynamical statistical transmutations. We discuss various possible superconducting phases of the system. In particular, the possibility of an exotic superconducting phase originating from the condensation of (bosonic) charge-e holons is examined. A numerical evidence of such a superconducting phase is presented in the case of the triangular lattice, by introducing a gauge-invariant holon Green’s function. We also make the connection with a Bose-Hubbard model on the kagome lattice which gives rise, as an effective model in the limit of strong interactions, to a doped QDM on the triangular lattice.
format Articulo
Articulo
author Lamas, Carlos Alberto
Ralko, Arnaud
Oshikawa, Masaki
Poilblanc, Didier
Pujol, Pierre
author_facet Lamas, Carlos Alberto
Ralko, Arnaud
Oshikawa, Masaki
Poilblanc, Didier
Pujol, Pierre
author_sort Lamas, Carlos Alberto
title Hole statistics and superfluid phases in quantum dimer models
title_short Hole statistics and superfluid phases in quantum dimer models
title_full Hole statistics and superfluid phases in quantum dimer models
title_fullStr Hole statistics and superfluid phases in quantum dimer models
title_full_unstemmed Hole statistics and superfluid phases in quantum dimer models
title_sort hole statistics and superfluid phases in quantum dimer models
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/27431
work_keys_str_mv AT lamascarlosalberto holestatisticsandsuperfluidphasesinquantumdimermodels
AT ralkoarnaud holestatisticsandsuperfluidphasesinquantumdimermodels
AT oshikawamasaki holestatisticsandsuperfluidphasesinquantumdimermodels
AT poilblancdidier holestatisticsandsuperfluidphasesinquantumdimermodels
AT pujolpierre holestatisticsandsuperfluidphasesinquantumdimermodels
bdutipo_str Repositorios
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