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JOURNALS // Fizika Tverdogo Tela // Archive

Fizika Tverdogo Tela, 2022 Volume 64, Issue 12, Pages 2016–2020 (Mi ftt11234)

Lattice dynamics

Phase transitions in a two-dimensional antiferromagnetic Potts model on a kagome lattice

M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, T. R. Rizvanova

Daghestan Federal Research Centre of the Russian Academy of Sciences, Makhachkala, Russia

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.

Received: 13.07.2022
Revised: 13.07.2022
Accepted: 05.08.2022

DOI: 10.21883/FTT.2022.12.53655.436



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© Steklov Math. Inst. of RAS, 2025