English

A cluster expansion approach to the Heilmann-Lieb liquid crystal model

Statistical Mechanics 2016-01-27 v2

Abstract

A monomer-dimer model with a short-range attractive interaction favoring colinear dimers is considered on the lattice Z2\mathbb{Z}^2. Although our choice of the chemical potentials results in more horizontal than vertical dimers, the horizontal dimers have no long-range traslational order - in agreement with the Heilmann-Lieb conjecture.

Keywords

Cite

@article{arxiv.1506.02255,
  title  = {A cluster expansion approach to the Heilmann-Lieb liquid crystal model},
  author = {Diego Alberici},
  journal= {arXiv preprint arXiv:1506.02255},
  year   = {2016}
}

Comments

42 pages, 3 figures