Criticality of a classical dimer model on the triangular lattice

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dc.creatorTrousselet, F.
dc.creatorPujol, P.
dc.creatorAlet, F.
dc.creatorPoilblanc, D.
dc.date2007-05-31
dc.date.accessioned2026-07-07T08:50:12Z
dc.date.available2026-07-07T08:50:12Z
dc.descriptionWe consider a classical interacting dimer model which interpolates between the square lattice case and the triangular lattice case by tuning a chemical potential in the diagonal bonds. The interaction energy simply corresponds to the number of plaquettes with parallel dimers. Using transfer matrix calculations, we find in the anisotropic triangular case a succession of different physical phases as the interaction strength is increased: a short range disordered liquid dimer phase at low interactions, then a critical phase similar to the one found for the square lattice, and finally a transition to an ordered columnar phase for large interactions. The existence of the critical phase is in contrast with the belief that criticality for dimer models is ascribed to bipartiteness. For the isotropic triangular case, we have indications that the system undergoes a first order phase transition to an ordered phase, without appearance of an intermediate critical phase.
dc.description12 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/0705.4550
dc.identifierhttp://arxiv.org/abs/0705.4550
dc.identifierPRE 76, 041125 (2007)
dc.identifierdoi:10.1103/PhysRevE.76.041125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144527
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleCriticality of a classical dimer model on the triangular lattice
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