Investigation of the Critical Properties in the 3D Site-Diluted Potts Model
The effect of quenched nonmagnetic impurities on phase transitions in the three-dimensional Potts model with the number of spin states q=3 is studied using the Wolff single-cluster algorithm of the Monte Carlo method. By the method of fourth-order Binder cumulants, it is demonstrated that the second-order phase transition occurs in the model under study at spin concentrations p=0.9, 0.8, 0.7, and 0.65, while the first-order phase transition is observed in the pure model (p=1.0). The static critical exponents (CEs) α (heat capacity), γ (susceptibility), β (magnetization), and ν (correlation length) are calculated based on the finite-size scaling theory.
A. K. Murtazaev et al., "Investigation of the Critical Properties in the 3D Site-Diluted Potts Model", Solid State Phenomena, Vols. 152-153, pp. 571-574, 2009