Abstract:
The phase transitions and thermodynamic properties of the two-dimensional antiferromagnetic Potts model with the number of spin states $q$ = 4 on the kagome lattice are studied by the Monte Carlo method, taking into account the exchange interactions of the first $J_1$ and
second $J_2$ nearest neighbors. The studies were carried out for the value of the interaction of the second nearest neighbors in the interval -1.0 $\le J_2\le$ 0.0. An analysis of the character of phase transitions has been carried out. It is shown that in the interval -1.0 $\le J_2\le$ -0.1, a second-order phase transition is observed, while at $J_2$ = 0.0, frustrations disturb the order in the system and lead to the disappearance of the phase transition.
Keywords:Frustration, phase transition, Monte Carlo method, Potts model.