Coulomb and Liquid Dimer Models in Three Dimensions

Details Coulomb and Liquid Dimer Models in Three Dimensions Coulomb and Liquid Dimer Models in Three Dimensions

2003-05-14

arxiv.org/abs/cond-mat/0305318v3

Phys. Rev. Lett. 91, 167004 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages with corrections and updates

Scientific paper

10.1103/PhysRevLett.91.167004

We study classical hard-core dimer models on three-dimensional lattices using analytical approaches and Monte Carlo simulations. On the bipartite cubic lattice, a local gauge field generalization of the height representation used on the square lattice predicts that the dimers are in a critical Coulomb phase with algebraic, dipolar, correlations, in excellent agreement with our large-scale Monte Carlo simulations. The non-bipartite FCC and Fisher lattices lack such a representation, and we find that these models have both confined and exponentially deconfined but no critical phases. We conjecture that extended critical phases are realized only on bipartite lattices, even in higher dimensions.

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