Exact treatment of Ising model on the helical tori

Research paper by Tsong-Ming Liaw, Ming-Chang Huang, Yen-Liang Chou, Simon C. Lin, Feng-Yin Li

Indexed on: 13 Dec '05Published on: 13 Dec '05Published in: Physics - Statistical Mechanics


The exact closed forms of the partition functions of 2D Ising model on square lattices with twisted boundary conditions are given. The constructions of helical tori are unambiguously related to the twisted boundary conditions by virtue of the SL(2,Z) transforms. Numerical analyses reveal that the finite size effect is irrelevant to the chirality equipped with each helical boundary condition.