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Physics of Metals and Metallography
Published in: Physics of Metals and Metallography 5/2021

01-05-2021 | THEORY OF METALS

Phase Diagram of the Antiferromagnetic Potts Model with Number q = 4 of Spin States in the Hexagonal Lattice

Authors: A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, M. A. Magomedov

Published in: Physics of Metals and Metallography | Issue 5/2021

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Abstract

The Wang–Landau algorithm of the Monte Carlo method is used to study the magnetic structures of the ground state, phase transitions, and thermodynamic properties of the two-dimensional antiferromagnetic Potts model with number q = 4 of spin states in a hexagonal lattice with the interactions of the nearest (J1) and next-to-nearest (J2) neighbors. The exchange interaction ratios in the range of 0.0 ≤ r = |J2/J1| ≤ 1.0 are studied. A phase diagram of the dependence of the critical temperature on the exchange interaction value of the next-to-nearest neighbors is constructed. The nature of phase transitions is analyzed. It is found that a first-order phase transition is observed in the range of 0.1 ≤ r ≤ 1.0, while there is no phase transition in the system and a strong degeneracy of the ground state is observed at r = 0.0.
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Metadata
Title
Phase Diagram of the Antiferromagnetic Potts Model with Number q = 4 of Spin States in the Hexagonal Lattice
Authors
A. K. Murtazaev
M. K. Mazagaeva
M. K. Ramazanov
M. A. Magomedov
Publication date
01-05-2021
Publisher
Pleiades Publishing
Published in
Physics of Metals and Metallography / Issue 5/2021
Print ISSN: 0031-918X
Electronic ISSN: 1555-6190
DOI
https://doi.org/10.1134/S0031918X21050094

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