A cluster expansion approach to the Heilmann-Lieb liquid crystal model
classification
❄️ cond-mat.stat-mech
keywords
dimersheilmann-liebhorizontalmodelagreementalthoughapproachattractive
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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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