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Erschienen 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

verfasst von: A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, M. A. Magomedov

Erschienen in: Physics of Metals and Metallography | Ausgabe 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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Metadaten
Titel
Phase Diagram of the Antiferromagnetic Potts Model with Number q = 4 of Spin States in the Hexagonal Lattice
verfasst von
A. K. Murtazaev
M. K. Mazagaeva
M. K. Ramazanov
M. A. Magomedov
Publikationsdatum
01.05.2021
Verlag
Pleiades Publishing
Erschienen in
Physics of Metals and Metallography / Ausgabe 5/2021
Print ISSN: 0031-918X
Elektronische ISSN: 1555-6190
DOI
https://doi.org/10.1134/S0031918X21050094

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