Krauth Moessner 2003

From Werner KRAUTH

W. Krauth, R. Moessner Pocket Monte Carlo algorithm for classical doped dimer models Physical Review B 67 064503 (2003)

Abstract: We study the correlations of classical hardcore dimer models doped with monomers by Monte Carlo simulation. We introduce an efficient cluster algorithm, which is applicable in any dimension, for different lattices and arbitrary doping. We use this algorithm for the dimer model on the square lattice, where a finite density of monomers destroys the critical confinement of the two-monomer problem. The monomers form a two-component plasma located in its high-temperature phase, with the Coulomb interaction screened at finite densities. On the triangular lattice, a single pair of monomers is not confined. The monomer correlations are extremely short-ranged and hardly change with doping.

Electronic version (from arXiv)

Paper in Physical Review B (Subscription needed)

Rejection-free cluster algorithm for dimers developed for this paper. Dimers flip about a symmetry axis between one valid configuration and another.

See the related paper with Huse, Sondhi and Moessner on dimers in three-dimensional lattices.