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Fizika Tverdogo Tela, 2019, Volume 61, Issue 6, Pages 1170–1174
DOI: https://doi.org/10.21883/FTT.2019.06.47695.373 (Mi ftt8797) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Lattice dynamics

The study of phase transitions and critical phenomena of the Heisenberg model on a body-centered cubic lattice

A. K. Murtazaevab, M. K. Ramazanovac, D. R. Kurbanovaa, M. A. Magomedovca, M. K. Badieva, M. K. Mazagaevaa

a Daghestan Institute of Physics after Amirkhanov, Makhachkala, Russia
b Daghestan State University, Makhachkala
c Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
Full-text PDF (271 kB) Citations (3)
DOI: https://doi.org/10.21883/FTT.2019.06.47695.373
Abstract: The phase transitions and critical phenomena of the three-dimensional antiferromagnetic Heisenberg model on a body-centered cubic lattice with next and next-nearest neighbor interactions are studied using the replica Monte Carlo algorithm. Investigations are carried out for relations of exchange interaction values of next and next-nearest neighbors in the range of k values [0.0, 0.6]. A behavior of phase transitions is analyzed by the histogram method. A whole set of main static critical exponents is estimated within the finite-size scaling theory. The universality class of the model critical behavior is shown to be unchanged in the considered interval of k value.
Funding agency Grant number
Russian Foundation for Basic Research 19-02-00153-а
18-32-20098-мол-а-вед
18-32-00391-мол-а
This work was supported by the Russian Foundation for Basic Research, projects nos. 19-02-00153-a, 18-32-20098-mol-a-ved, and 18-32-00391-mol-a.
Received: 05.02.2019
Revised: 05.02.2019
Accepted: 05.02.2019
English version:
Physics of the Solid State, 2019, Volume 61, Issue 6, Pages 1107–1112
DOI: https://doi.org/10.1134/S1063783419060143
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Murtazaev, M. K. Ramazanov, D. R. Kurbanova, M. A. Magomedov, M. K. Badiev, M. K. Mazagaeva, “The study of phase transitions and critical phenomena of the Heisenberg model on a body-centered cubic lattice”, Fizika Tverdogo Tela, 61:6 (2019), 1170–1174; Phys. Solid State, 61:6 (2019), 1107–1112
Citation in format AMSBIB
\Bibitem{MurRamKur19}
\by A.~K.~Murtazaev, M.~K.~Ramazanov, D.~R.~Kurbanova, M.~A.~Magomedov, M.~K.~Badiev, M.~K.~Mazagaeva
\paper The study of phase transitions and critical phenomena of the Heisenberg model on a body-centered cubic lattice
\jour Fizika Tverdogo Tela
\yr 2019
\vol 61
\issue 6
\pages 1170--1174
\mathnet{http://mi.mathnet.ru/ftt8797}
\crossref{https://doi.org/10.21883/FTT.2019.06.47695.373}
\elib{https://elibrary.ru/item.asp?id=39133784}
\transl
\jour Phys. Solid State
\yr 2019
\vol 61
\issue 6
\pages 1107--1112
\crossref{https://doi.org/10.1134/S1063783419060143}
Linking options:
  • https://www.mathnet.ru/eng/ftt8797
  • https://www.mathnet.ru/eng/ftt/v61/i6/p1170
    • This publication is cited in the following 3 articles:
    1. 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”, Phys. Solid State, 62:3 (2020), 499–503  mathnet  mathnet  crossref  crossref
    2. M. K. Ramazanov, A. K. Murtazaev, “Computer modeling of phase transformations and critical properties of the frustrated Heisenberg model for a cubic lattice”, Phys. Solid State, 62:6 (2020), 976–981  mathnet  mathnet  crossref  crossref
    3. A. K. Murtazaev, M. K. Ramazanov, M. K. Badiev, “Critical properties in the Ising model on a triangular lattice with the variable interlayer exchange interaction”, Phys. Solid State, 61:10 (2019), 1854–1859  mathnet  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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