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

Published 7 Jun 2015 in cond-mat.stat-mech | (1506.02255v2)

Abstract: A monomer-dimer model with a short-range attractive interaction favoring colinear dimers is considered on the lattice $\mathbb{Z}2$. 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.

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