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

Resumo

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 (T_c) was calculated for the three-vertex Potts model on a Kagome lattice. It is shown that the obtained value of T_c, within the statistical error, is in good agreement with the results obtained by the transfer matrix and polynomial approximation methods.