Coulomb and Liquid Dimer Models in Three Dimensions
Statistical Mechanics
2016-08-31 v3 Disordered Systems and Neural Networks
Strongly Correlated Electrons
Superconductivity
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.
Cite
@article{arxiv.cond-mat/0305318,
title = {Coulomb and Liquid Dimer Models in Three Dimensions},
author = {David A. Huse and Werner Krauth and R. Moessner and S. L. Sondhi},
journal= {arXiv preprint arXiv:cond-mat/0305318},
year = {2016}
}
Comments
4 pages with corrections and updates