TY - JOUR

T1 - Finite-size corrections and scaling for the triangular lattice dimer model with periodic boundary conditions

AU - Izmailian, N. Sh

AU - Oganesyan, K. B.

AU - Wu, Ming Chya

AU - Hu, Chin Kun

PY - 2006/1

Y1 - 2006/1

N2 - We analyze the partition function of the dimer model on M×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.

AB - We analyze the partition function of the dimer model on M×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.

UR - http://www.scopus.com/inward/record.url?scp=32844462750&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.73.016128

DO - 10.1103/PhysRevE.73.016128

M3 - 期刊論文

AN - SCOPUS:32844462750

SN - 1539-3755

VL - 73

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 1

M1 - 016128

ER -