Statistical transmutation in doped quantum dimer models

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 reson...

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Detalles Bibliográficos
Autores principales: Lamas, Carlos Alberto, Ralko, Arnaud, Cabra, Daniel Carlos, Poilblanc, Didier, Pujol, Pierre
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Ciencias Exactas
Física
dimer model
statistical transmutation
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/27433
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-27433
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
dimer model
statistical transmutation
spellingShingle Ciencias Exactas
Física
dimer model
statistical transmutation
Lamas, Carlos Alberto
Ralko, Arnaud
Cabra, Daniel Carlos
Poilblanc, Didier
Pujol, Pierre
Statistical transmutation in doped quantum dimer models
topic_facet Ciencias Exactas
Física
dimer model
statistical transmutation
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.
format Articulo
Articulo
author Lamas, Carlos Alberto
Ralko, Arnaud
Cabra, Daniel Carlos
Poilblanc, Didier
Pujol, Pierre
author_facet Lamas, Carlos Alberto
Ralko, Arnaud
Cabra, Daniel Carlos
Poilblanc, Didier
Pujol, Pierre
author_sort Lamas, Carlos Alberto
title Statistical transmutation in doped quantum dimer models
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
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/27433
work_keys_str_mv AT lamascarlosalberto statisticaltransmutationindopedquantumdimermodels
AT ralkoarnaud statisticaltransmutationindopedquantumdimermodels
AT cabradanielcarlos statisticaltransmutationindopedquantumdimermodels
AT poilblancdidier statisticaltransmutationindopedquantumdimermodels
AT pujolpierre statisticaltransmutationindopedquantumdimermodels
bdutipo_str Repositorios
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