Geodesic
Computer simulation of a two-dimensional Potts model with competing exchange interactions
Daghestan Electronic Mathematical Reports, Tome 16 (2021), pp. 16-23.

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The phase transitions and thermodynamic properties of the two-dimensional Potts model with the number of spin states $q=4$ on a hexagonal lattice with competing exchange interactions have been investigated on the basis of the Wang-Landau algorithm by the Monte Carlo method. It is shown that taking into account the antiferromagnetic interactions of the next-nearest neighbors leads to a violation of the magnetic ordering and to the appearance of frustration.
Keywords: Monte Carlo method, Wang-Landau algorithm, frustration. 
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M. K. Ramazanov; A. K. Murtazaev. Computer simulation of a two-dimensional Potts model with competing exchange interactions. Daghestan Electronic Mathematical Reports, Tome 16 (2021), pp. 16-23. http://geodesic.mathdoc.fr/item/DEMR_2021_16_a1/

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