title: Dimer model on a triangular lattice.
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.
authors.affiliation: Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan. izmailan@phys.sinica.edu.tw
authors.forename: N Sh
authors.initials: NSh
authors.lastname: Izmailian
authors.forename: Ralph
authors.initials: R
authors.lastname: Kenna