https://doi.org/10.1140/epjb/s10051-023-00614-y
Regular Article - Statistical and Nonlinear Physics
Blume–Emery–Griffiths model for mixed spin (1, 5/2) calculated by mean-field approximation
1
Team of Theoretical Physics, Laboratory L.P. M.C., Department of Physics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
2
Department of Physics, Faculty of Education, Arts and Applied Sciences, Amran University, Amran, Yemen
3
Department of Physics-Chemistry, CRMEF, Meknes, Morocco
Received:
20
June
2023
Accepted:
17
October
2023
Published online:
1
November
2023
We use the mean-field approximation based on the Bogoliubov inequality to study the ferrimagnetic mixed spin-1 and spin-5/2 Blume–Emery–Griffiths (BEG) model on a hypercube lattice. The effects of the equal crystal field D = DA = DB and the ratio of biquadratic and bilinear exchange interactions R = K/|J| are examined by extracting the phase diagrams on the (R = K/|J|; T = 1/z|J|) and (D/z|J|; T = 1/z|J|) planes, respectively. Additionally, we have drawn the phase diagrams in the (DA/z|J|; T = 1/z|J|) and (DB/z|J|; T = 1/z|J|) planes for various values of the ratio R = K/|J| (R > 0). Our phase diagrams show both first- and second-order transitions, as well as tricritical points. It is evident that the system can exhibit single and double compensation temperatures. Finally, the temperature dependencies of the total and sublattice magnetizations present a few outstanding features.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
