Dimer model on a triangular lattice

Nikolay Izmailian, Ralph Kenna

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    15 Citations (Scopus)
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    Abstract

    We analyze the partition function of the dimer model on an M×N triangular lattice wrapped on a torus obtained by Fendley, Moessner, and Sondhi [Phys. Rev. B 66, 214513 (2002)]. From a finite-size analysis we have found that the dimer model on such a lattice can be described by a conformal field theory having a central charge c=−2. The shift exponent for the specific heat is found to depend on the parity of the number of lattice sites N along a given lattice axis: e.g., for odd N we obtain the shift exponent λ=1, while for even N it is infinite (λ=∞). In the former case, therefore, the finite-size specific-heat pseudocritical point is size dependent, while in the latter case it coincides with the critical point of the thermodynamic limit.
    Original languageEnglish
    Article number021107
    JournalPhysical Review E
    Volume84
    DOIs
    Publication statusPublished - 4 Aug 2011

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