Critical temperature of three-vertex Potts model on the Kagome lattice

The Potts model on the Kagome lattice is considered. The Monte Carlo method is used to obtain the temperature dependences of the thermodynamic parameters of heat capacity C, order parameter m, and susceptibility $\chi$. The calculations were performed for systems with periodic boundary conditions. Systems with linear dimensions $L\times L=N$, $L$ = 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 the Kagome lattice. It is shown that the obtained $T_c$ value within the statistical error is in good agreement with the results obtained using the transfer-matrix and polynomial approximation methods.