A monomer-dimer model with a short-range attractive interaction favoring collinear dimers is considered on the lattice $$mathbb Z^2$$Z2. Although our choice of the chemical potentials results in more horizontal than vertical dimers, the horizontal dimers have no long-range translational order—in agreement with the Heilmann–Lieb conjecture (Heilmann and Lieb in J Stat Phys 20(6):679–693, 1979).
A Cluster Expansion Approach to the Heilmann–Lieb Liquid Crystal Model
Alberici D.
2016-01-01
Abstract
A monomer-dimer model with a short-range attractive interaction favoring collinear dimers is considered on the lattice $$mathbb Z^2$$Z2. Although our choice of the chemical potentials results in more horizontal than vertical dimers, the horizontal dimers have no long-range translational order—in agreement with the Heilmann–Lieb conjecture (Heilmann and Lieb in J Stat Phys 20(6):679–693, 1979).File in questo prodotto:
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