Abstract
Using exact methods, pair-correlation functions are studied in the dimer model defined on a brick lattice. At long distances these functions exhibit strongly anisotropic algebraic decay and, near criticality, the length scales diverge differently in the two principal directions. The critical exponents are νx=1/2 and νy=1. These results are in agreement with deductions drawn from recent exact finite-size scaling calculations. We also interpret our results in the light of domain wall theories of commensurate-incommensurate transitions, and in particular we study the relation of the present model to the discrete version of the Pokrovsky-Talapov model introduced by Villain.
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Yokoi, C.S.O., Nagle, J.F. & Salinas, S.R. Dimer pair correlations on the brick lattice. J Stat Phys 44, 729–747 (1986). https://doi.org/10.1007/BF01011905
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DOI: https://doi.org/10.1007/BF01011905