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Dal'nevostochnyi Matematicheskii Zhurnal, 2020, Volume 20, Number 1, Pages 63–73
DOI: https://doi.org/10.47910/FEMJ202007 (Mi dvmg420) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Thermodynamic properties of Heisenberg spin systems on a square lattice with the Dzyaloshinskii–Moriya interaction

V. Yu. Kapitanab, E. V. Vasil'evab, Yu. A. Shevchenkoab, A. V. Perzhuab, D. Yu. Kapitanab, A. E. Rybinab, K. S. Soldatovab, A. G. Makarovab, R. A. Volotovskiiab, K. V. Nefedevab

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
Full-text PDF (889 kB) Citations (5)
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DOI: https://doi.org/10.47910/FEMJ202007
Abstract: We present results of numerical simulation of thermodynamics for array of Classical Heisenberg spins placed on 2D square lattice. By using Metropolis and Wang–Landau methods we show the temperature behaviour of system with competing Heisenberg and Dzyaloshinskii–Moriya interaction (DMI) in contrast with classical Heisenberg system. We show the process of nucleating of skyrmion depending on the value of external magnetic field.
Key words: numerical simulation, thermodynamics, Heisenberg model, Metropolis algorithm, Wang–Landau algorithm, Dzyaloshinskii–Moriya interaction, skyrmion.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-00400-19-01
Received: 25.10.2019
Bibliographic databases:
Document Type: Article
UDC: 538.91, 537.61
MSC: 65C05
Language: Russian
Citation: V. Yu. Kapitan, E. V. Vasil'ev, Yu. A. Shevchenko, A. V. Perzhu, D. Yu. Kapitan, A. E. Rybin, K. S. Soldatov, A. G. Makarov, R. A. Volotovskii, K. V. Nefedev, “Thermodynamic properties of Heisenberg spin systems on a square lattice with the Dzyaloshinskii–Moriya interaction”, Dal'nevost. Mat. Zh., 20:1 (2020), 63–73
Citation in format AMSBIB
\Bibitem{KapVasShe20}
\by V.~Yu.~Kapitan, E.~V.~Vasil'ev, Yu.~A.~Shevchenko, A.~V.~Perzhu, D.~Yu.~Kapitan, A.~E.~Rybin, K.~S.~Soldatov, A.~G.~Makarov, R.~A.~Volotovskii, K.~V.~Nefedev
\paper Thermodynamic properties of Heisenberg spin systems on a square lattice with the Dzyaloshinskii--Moriya interaction
\jour Dal'nevost. Mat. Zh.
\yr 2020
\vol 20
\issue 1
\pages 63--73
\mathnet{http://mi.mathnet.ru/dvmg420}
\crossref{https://doi.org/10.47910/FEMJ202007}
\elib{https://elibrary.ru/item.asp?id=43038081}
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  • https://www.mathnet.ru/eng/dvmg/v20/i1/p63
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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