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Fizika Tverdogo Tela, 2020, Volume 62, Issue 3, Pages 442–446
DOI: https://doi.org/10.21883/FTT.2020.03.49011.621 (Mi ftt8476) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Lattice dynamics

Phase transformations and thermodynamic properties of the Potts model with $q$ = 4 on a hexagonal lattice with interactions of next-nearest neighbors

M. K. Ramazanovab, A. K. Murtazaevab, M. A. Magomedovab, M. K. Mazagaevaa

a Institute of Physics, Dagestan Federal Scientific Center, Russian Academy of Sciences, Makhachkala, Russia
b Dagestan Federal Scientific Center, Russian Academy of Sciences, Makhachkala, Russia
Full-text PDF (139 kB) Citations (16)
DOI: https://doi.org/10.21883/FTT.2020.03.49011.621
Abstract: Magnetic structures of the ground state, phase transitions and thermodynamic properties of the 2D ferromagnetic Potts model with the number of spin states $q$ = 4 on a hexagonal lattice with next-nearest neighbors interactions are investigated by the Monte Carlo method based on the Wang–Landau algorithm. It is shown that taking into account the antiferromagnetic interactions of the next-nearest neighbors leads to the appearance of frustration and a violation of magnetic ordering. The orders of the phase transitions are investigated using the Binder fourth-order cumulant method and histogram analysis of data. It is established that a first-order transition is observed in the model being investigated.
Keywords: frustrations, phase transitions, Monte Carlo method, Potts model.
Funding agency Grant number
Russian Foundation for Basic Research 19-02-00153-а
18-32-20098-мол-а-вед
This work was supported by the Russian Foundation for Basic Research, projects nos. 19-02-00153-a and 18-32-20098-mol-a-ved.
Received: 31.10.2019
Revised: 31.10.2019
Accepted: 07.11.2019
English version:
Physics of the Solid State, 2020, Volume 62, Issue 3, Pages 499–503
DOI: https://doi.org/10.1134/S1063783420030178
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Phase transformations and thermodynamic properties of the Potts model with $q$ = 4 on a hexagonal lattice with interactions of next-nearest neighbors”, Fizika Tverdogo Tela, 62:3 (2020), 442–446; Phys. Solid State, 62:3 (2020), 499–503
Citation in format AMSBIB
\Bibitem{RamMurMag20}
\by M.~K.~Ramazanov, A.~K.~Murtazaev, M.~A.~Magomedov, M.~K.~Mazagaeva
\paper Phase transformations and thermodynamic properties of the Potts model with $q$ = 4 on a hexagonal lattice with interactions of next-nearest neighbors
\jour Fizika Tverdogo Tela
\yr 2020
\vol 62
\issue 3
\pages 442--446
\mathnet{http://mi.mathnet.ru/ftt8476}
\crossref{https://doi.org/10.21883/FTT.2020.03.49011.621}
\elib{https://elibrary.ru/item.asp?id=42776725}
\transl
\jour Phys. Solid State
\yr 2020
\vol 62
\issue 3
\pages 499--503
\crossref{https://doi.org/10.1134/S1063783420030178}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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