Coulomb and Liquid Dimer Models in Three Dimensions

Preprint

14 November 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0305318

Abstract

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.

Keywords

MONTE CARLO SIMULATIONS
CRITICAL PHASES
REPRESENTATION
DIMER MODELS
ALGEBRAIC
BIPARTITE
LATTICES
COULOMB
DIMERS

All Related Versions

Version 1, 2003-05-14, ArXiv
Version 2, 2003-05-21, ArXiv
Version 3, 2003-11-14, ArXiv
Published version: Physical Review Letters, 91 (16), 167004.

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