Finite-size corrections and scaling for the triangular lattice dimer model with periodic boundary conditions.
We analyze the partition function of the dimer model on M x N triangular lattice wrapped on the torus obtained by Fendley, Moessner, and Sondhi [Phys. Rev. B 66, 214513, (2002)]. Based on such an expression, we then extend the algorithm of Ivashkevich, Izmailian, and Hu [J. Phys. A 35, 5543 (2002)] to derive the exact asymptotic expansion of the first and second derivatives of the logarithm of the partition function at the critical point and find that the aspect-ratio dependence of finite-size corrections and the finite-size scaling functions are sensitive to the parity of the number of lattice sites along the lattice axis.
Izmailian
N Sh
NSh
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan. izmailan@phys.sinica.edu.tw
Oganesyan
K B
KB
Wu
Ming-Chya
MC
Hu
Chin-Kun
CK