Interacting classical dimers on the square lattice

Details Interacting classical dimers on the square lattice Interacting classical dimers on the square lattice

2005-01-11

arxiv.org/abs/cond-mat/0501241v2

Phys. Rev. Lett. 94, 235702 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures; v2 : Added results on doped models; published version

Scientific paper

10.1103/PhysRevLett.94.235702

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.{\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.

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