The Critical Behavior of the Ising Model on Union Jack Lattice

摘要

In this paper, we Jiave investigated the critical behavior of the ferromagnetic Ising model on union jack lattice. The model is equivalent to the eight-vertex model which can be solved as a free fermion model with the free fermion approximation. The critical exponents have been obtained as a = a1 = 0, B = B = 0.125, 7 = 7' = 0.875 and 6 = 8' - 8.