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Fizika Tverdogo Tela, 2018, Volume 60, Issue 9, Pages 1798–1802
DOI: https://doi.org/10.21883/FTT.2018.09.46401.059 (Mi ftt9087) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Lattice dynamics

Studying thermodynamic properties of the Ising model on a body-centered cubic lattice with competing exchange interactions

A. K. Murtazaevab, M. K. Ramazanovac, M. A. Magomedovab, D. R. Kurbanovaa

a Daghestan Institute of Physics after Amirkhanov, Makhachkala, Dagestan, Russia
b Daghestan State University, Makhachkala
c Department of Mathematics and Computer Science, Dagestan Science Center, Russian Academy of Sciences, Makhachkala, Dagestan, Russia
Full-text PDF (186 kB) Citations (6)
DOI: https://doi.org/10.21883/FTT.2018.09.46401.059
Abstract: Using the Monte Carlo method, magnetic structures of the ground state and thermodynamic properties of the antiferromagnetic Ising model on a body-centered cubic lattice with competing exchange interactions are studied. The investigations are carried out for the ratio of the exchange interactions of next and nearest neighbors $r=J_2/J_1$ = 2/3. All possible magnetic structures of the ground state for this ratio of exchange interactions have been obtained. It has been shown that at $r$ = 2/3 the competition of exchange interactions does not lead to the appearance of frustration and degeneracy of the ground state. Based on the histogram data analysis, it has been shown that the phase transition of the second kind is observed in the model under study at $r$ = 2/3.
Funding agency Grant number
Russian Foundation for Basic Research 16-02-00214-а
Received: 06.03.2018
English version:
Physics of the Solid State, 2018, Volume 60, Issue 9, Pages 1848–1852
DOI: https://doi.org/10.1134/S1063783418090214
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, D. R. Kurbanova, “Studying thermodynamic properties of the Ising model on a body-centered cubic lattice with competing exchange interactions”, Fizika Tverdogo Tela, 60:9 (2018), 1798–1802; Phys. Solid State, 60:9 (2018), 1848–1852
Citation in format AMSBIB
\Bibitem{MurRamMag18}
\by A.~K.~Murtazaev, M.~K.~Ramazanov, M.~A.~Magomedov, D.~R.~Kurbanova
\paper Studying thermodynamic properties of the Ising model on a body-centered cubic lattice with competing exchange interactions
\jour Fizika Tverdogo Tela
\yr 2018
\vol 60
\issue 9
\pages 1798--1802
\mathnet{http://mi.mathnet.ru/ftt9087}
\crossref{https://doi.org/10.21883/FTT.2018.09.46401.059}
\elib{https://elibrary.ru/item.asp?id=36903701}
\transl
\jour Phys. Solid State
\yr 2018
\vol 60
\issue 9
\pages 1848--1852
\crossref{https://doi.org/10.1134/S1063783418090214}
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  • https://www.mathnet.ru/eng/ftt/v60/i9/p1798
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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