Geodesic
Computer simulation of the Potts model with the number of spin states $q = 4$ on a triangular lattice
Daghestan Electronic Mathematical Reports, Tome 13 (2020), pp. 57-64

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Based on the Wang-Landau algorithm, the Monte Carlo method is used to study the thermodynamic properties of the two-dimensional Potts model with the number of spin states $q=4$ on a triangular lattice, taking into account the interactions of the first and second nearest neighbors. It is shown that taking into account antiferromagnetic interactions of the second nearest neighbors leads to frustration.
Keywords: Monte Carlo method, Wang-Landau algorithm, frustration. 
@article{DEMR_2020_13_a3,
     author = {M. K. Ramazanov and A. K. Murtazaev},
     title = {Computer simulation of the {Potts} model with the number of spin states $q = 4$ on a triangular lattice},
     journal = {Daghestan Electronic Mathematical Reports},
     pages = {57--64},
     publisher = {mathdoc},
     volume = {13},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DEMR_2020_13_a3/}
}
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M. K. Ramazanov; A. K. Murtazaev. Computer simulation of the Potts model with the number of spin states $q = 4$ on a triangular lattice. Daghestan Electronic Mathematical Reports, Tome 13 (2020), pp. 57-64. http://geodesic.mathdoc.fr/item/DEMR_2020_13_a3/