Lattice dynamics, thermal properties

Phase transitions in a three-dimensional ferromagnetic Potts model on a kagome lattice

M. K. Ramazanov^ab, A. K. Murtazaev^ab, T. R. Rizvanova^a, M. R. Dzhamaludinov^a, M. A. Magomedov<sup>ab

a</sup> Daghestan Institute of Physics after Amirkhanov
^b Daghestan State University, Makhachkala

Abstract: The Monte Carlo method was used to study phase transitions and thermodynamic properties of the three-dimensional ferromagnetic Potts model with the number of spin states $q$ = 4 on the kagome lattice with nearest neighbor interactions. Temperature dependences of energy and heat capacity were constructed. The nature of the phase transition was analyzed using the fourth-order Binder cumulants method and the histogram method. It was found that the first-order phase transition is observed in this model.

Keywords: Monte Carlo method, Binder cumulants, spin interactions, heat capacity.

Received: 13.05.2025
Revised: 20.08.2025
Accepted: 26.08.2025

DOI: 10.61011/FTT.2025.09.61630.117-25

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