Interacting classical dimers on the square lattice

We 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. 61, 2376 (1988)]. By means of Monte Carlo and transfer...

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Bibliographic Details
Published in:Physical review letters 2005-06, Vol.94 (23), p.235702.1-235702.4, Article 235702
Main Authors: ALET, Fabien, JACOBSEN, Jesper Lykke, MISGUICH, Grégoire, PASQUIER, Vincent, MILA, Frédéric, TROYER, Matthias
Format: Article
Language:English
Subjects:
Condensed Matter
Condensed matter: structure, mechanical and thermal properties
Equations of state, phase equilibria, and phase transitions
Exact sciences and technology
General studies of phase transitions
Order-disorder and statistical mechanics of model systems
Physics
Statistical Mechanics
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Summary:We 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. 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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.94.235702