Critical Properties of Two-dimensional Anisotropic Ising Model on a Square Lattice

Abstract

We study the critical behavior of two-dimensional anisotropic Ising model on a square lattice by the finite cluster approximation based on a single-site cluster theory and by Monte Carlo techniques. We analize the influence of the report of the interactions J h /J v on the critical temperature of the system, and we show that the critical exponents depend only on the very general properties of the systems and not on the detail of the interactions. Finally, we do a comparison between the finite cluster approximation, the mean-field approximation, and the Monte Carlo method on the level of the phase diagram in the plan $\left (J_{h}/T_{c}\text { },\text { } J_{v}/T_{c}\right ).$