Phase transitions and the magnetic properties of the two-dimensional Potts model with the four spin states on a hexagonal lattice in low magnetic fields are studied using the replica exchange algorithm of the Monte Carlo method. The studies are performed in the magnetic field range of \(0.0 \leqslant H \leqslant 3.5\) with a step of 0.5. For this H range, the magnetic structures of the ground state are determined. It is found that the first-order phase transition occurs in the whole magnetic field range under study, except for \(H = 1.5\), at which the second-order phase transition takes place. In the framework of such model, it is demonstrated that the applied magnetic field can lead to a change in the order of the phase transition.
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This work was supported by the Russian Foundation for Basic Research, project no. 19-02-00153-a.
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Ramazanov, M.K., Murtazaev, A.K., Magomedov, M.A. et al. Phase Transitions and the Magnetic Properties of the Potts Model with Four Spin States on a Hexagonal Lattice in Low Magnetic Fields. Jetp Lett. 114, 693–698 (2021). https://doi.org/10.1134/S0021364021230119
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DOI: https://doi.org/10.1134/S0021364021230119