https://doi.org/10.1140/epjp/s13360-023-04785-6
Regular Article
Phase diagrams of the Blume–Capel model with mixed spins (1/2, 1) in a transverse crystal field
1
Laboratory LPMC, Theoretical Physics Group, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
2
Laboratory LS2ME, Polydisciplinary Faculty of Khouribga, Sultan Moulay Slimane University, Beni Mellal, Morocco
Received:
16
November
2023
Accepted:
11
December
2023
Published online:
18
December
2023
The critical behavior and phase diagrams of the ferromagnetic mixed spin-1/2 and spin-1 Blume–Capel model in a transverse crystal field are studied on a hypercube lattice using the mean-field approximation based on the statistical Bogoliubov inequality for the free energy. The effects of longitudinal and transverse crystal fields on the magnetizations and phase diagrams of the system are examined. First- and second-order phase transitions with tricritical points are found for some parameters of the system Hamiltonian. Furthermore, interesting results arise from the quantum fluctuations caused by the presence of the transverse crystal field.
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© The Author(s), under exclusive licence to Società Italiana di Fisica 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.
