Critical properties of site-diluted Ising model on a square lattice

Abstract

Monte Carlo simulations are done to study the critical properties of site-diluted Ising systems on the square lattice. At small dilution concentrations, our preliminary data shows agreement with the Strong Universality hypothesis which states that the dilution would lead to logarithmic corrections to the critical properties of the system. At large dilutions, however, our data shows critical exponents that vary with the dilution concentration and, thus, indicating agreement with the Weak Universality hypothesis. In addition, our data shows the phase transition line to dissolve and eventually disappear as the dilution is increased. Finally, a peak in the magnetic susceptibility appears at low temperatures and high dilution.