Phase Transitions in a Frustrated Four-Vertex Potts Model on a Hexagonal Lattice in a Magnetic Field

The effect of a magnetic field on the phase transitions of a two-dimensional frustrated Potts model with the number of spin states q = 4 on a hexagonal lattice was studied by the Monte Carlo method. The studies were carried out for a wide range of magnetic field strength. The magnetic structures of...

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Bibliographic Details
Published inPhysics of metals and metallography Vol. 124; no. 5; pp. 429 - 436
Main Authors Ramazanov, M. K., Murtazaev, A. K., Magomedov, M. A., Mazagaeva, M. K.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.05.2023
Springer
Springer Nature B.V
Subjects
Analysis
Chemistry and Materials Science
Electrical and Magnetic Properties
Field strength
Ground state
Hexagonal lattice
Magnetic fields
Magnetization
Materials Science
Metallic Materials
Monte Carlo method
Monte Carlo simulation
Phase transitions
Monte Carlo method
magnetic field
Potts model
phase transition
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Summary:The effect of a magnetic field on the phase transitions of a two-dimensional frustrated Potts model with the number of spin states q = 4 on a hexagonal lattice was studied by the Monte Carlo method. The studies were carried out for a wide range of magnetic field strength. The magnetic structures of the ground state in this range have been obtained. The dependence of the magnetization on the magnetic field has been constructed. It has been found that an external magnetic field leads to a first-order phase transition. It is shown that a strong magnetic field removes the degeneracy of the ground state and suppresses the phase transition in the system.
ISSN:0031-918X
1555-6190
DOI:10.1134/S0031918X2360029X