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Phase diagrams of the Blume–Capel model with mixed spins (1/2, 1) in a transverse crystal field

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Abstract

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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No data were used for the research described in this manuscript, and all of the material is owned by the authors and/or no permissions are required.

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Authors and Affiliations

  1. Laboratory LPMC, Theoretical Physics Group, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco

    O. Hachem, H. Saadi, E. M. Jalal, N. Hachem & M. El Bouziani

  2. Laboratory LS2ME, Polydisciplinary Faculty of Khouribga, Sultan Moulay Slimane University, Beni Mellal, Morocco

    E. M. Jalal

Authors
  1. O. Hachem
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  2. H. Saadi
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  3. E. M. Jalal
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  4. N. Hachem
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  5. M. El Bouziani
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Correspondence to N. Hachem.

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Hachem, O., Saadi, H., Jalal, E.M. et al. Phase diagrams of the Blume–Capel model with mixed spins (1/2, 1) in a transverse crystal field. Eur. Phys. J. Plus 138, 1125 (2023). https://doi.org/10.1140/epjp/s13360-023-04785-6

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