Critical Temperature of the Three-Vertex Potts Model on a Kagome Lattice

Abstract

The Potts model on a Kagome lattice is considered. The Monte Carlo method is used to obtain the temperature dependences of the thermodynamic parameters: heat capacity C, order parameter m, and susceptibility χ. The calculations were performed for systems with periodic boundary conditions. Systems with linear dimensions L × L = N, L = 20–90, were considered. Based on the fourth-order Binder cumulant method, the critical temperature (Tc) was calculated for the three-vertex Potts model on a Kagome lattice. It is shown that the obtained value of Tc, within the statistical error, is in good agreement with the results obtained by the transfer matrix and polynomial approximation methods.