Phase Transformations and Thermodynamic Properties of the Potts Model with q = 4 on a Hexagonal Lattice with Interactions of Next-Nearest Neighbors

The magnetic structures of the ground state, phase transitions, and the thermodynamic properties of a two-dimensional ferromagnetic Potts model with the number of spin states q = 4 on a hexagonal lattice are studied using the Wang–Landau algorithm of the Monte Carlo method, taking into account the i...

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Bibliographic Details
Published in:Physics of the solid state 2020-03, Vol.62 (3), p.499-503
Main Authors: Ramazanov, M. K., Murtazaev, A. K., Magomedov, M. A., Mazagaeva, M. K.
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Antiferromagnetism
Computer simulation
Ferromagnetism
Hexagonal lattice
Histograms
Lattice Dynamics
Monte Carlo method
Monte Carlo simulation
Phase transitions
Physics
Physics and Astronomy
Solid State Physics
Thermodynamic properties
Thermodynamics
Two dimensional models
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Summary:The magnetic structures of the ground state, phase transitions, and the thermodynamic properties of a two-dimensional ferromagnetic Potts model with the number of spin states q = 4 on a hexagonal lattice are studied using the Wang–Landau algorithm of the Monte Carlo method, taking into account the interactions of the nearest and the next-nearest neighbors. It is shown that the inclusion of the antiferromagnetic interactions of the next-nearest neighbors leads to the appearance of frustration and disturbance of magnetic ordering. The phase transition characters are analyzed using the method of fourth-order Binder cumulants and the histogram method. It is found that a first-order phase transition takes place in this model.
ISSN:1063-7834
1090-6460
DOI:10.1134/S1063783420030178