Browsing by Subject "classical dimer model"

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    Exact Solution of the Classical Dimer Model on a Triangular Lattice: Monomer-Monomer Correlations
    (Springer, 2017-12) Basor, Estelle; Bleher, Pavel; Mathematical Sciences, School of Science
    We obtain an asymptotic formula, as n→∞, for the monomer–monomer correlation function K2(n) in the classical dimer model on a triangular lattice, with the horizontal and vertical weights wh=wv=1 and the diagonal weight wd=t>0, between two monomers at vertices q and r that are n spaces apart in adjacent rows. We find that tc=12 is a critical value of t. We prove that in the subcritical case, 0