Interacting classical dimers on the square lattice

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dc.creatorAlet, Fabien
dc.creatorJacobsen, Jesper Lykke
dc.creatorMisguich, Gregoire
dc.creatorPasquier, Vincent
dc.creatorMila, Frederic
dc.creatorTroyer, Matthias
dc.date2005-01-11
dc.date2005-06-15
dc.date.accessioned2026-07-07T06:29:17Z
dc.date.available2026-07-07T06:29:17Z
dc.descriptionWe study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D.S. Rokhsar and S.A. Kivelson, Phys. Rev. Lett.{\bf 61}, 2376 (1988)]. By means of Monte Carlo and Transfer Matrix calculations, we show that this system undergoes a Kosterlitz-Thouless transition separating a low temperature ordered phase where dimers are aligned in columns from a high temperature critical phase with continuously varying exponents. This is understood by constructing the corresponding Coulomb gas, whose coupling constant is computed numerically. We also discuss doped models and implications on the finite-temperature phase diagram of quantum dimer models.
dc.description4 pages, 4 figures; v2 : Added results on doped models; published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0501241
dc.identifierhttp://arxiv.org/abs/cond-mat/0501241
dc.identifierPhys. Rev. Lett. 94, 235702 (2005)
dc.identifierdoi:10.1103/PhysRevLett.94.235702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97975
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleInteracting classical dimers on the square lattice
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