Correlations and confinement in non-planar two-dimensional dimer models

Details Correlations and confinement in non-planar two-dimensional dimer models Correlations and confinement in non-planar two-dimensional dimer models

2005-07-12

arxiv.org/abs/cond-mat/0507277v1

Phys. Rev. B 73, 144504 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages. Supersedes cond-mat/0312097

Scientific paper

10.1103/PhysRevB.73.144504

We study classical hard-core dimer models on the square lattice with links extending beyond nearest-neighbors. Numerically, using a directed-loop Monte Carlo algorithm, we find that, in the presence of longer dimers preserving the bipartite graph structure, algebraic correlations persist. While the confinement exponent for monomers drifts, the leading decay of dimer correlations remains 1/r^2, although the logarithmic peaks present in the dimer structure factor of the nearest-neighbour model vanish. By contrast, an arbitrarily small fraction of next-nearest-neighbor dimers leads to the onset of exponential dimer correlations and deconfinement. We discuss these results in the framework of effective theories, and provide an approximate but accurate analytical expression for the dimer correlations.

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