Critical, compensation and hysteresis behaviors studies in the ferrimagnetic Blume-Capel model with mixed half-integer spin-(3/2, 7/2): Exact recursion relations calculations
The exact recursion relations are used to study the mixed half-integer spin-(3/2, 7/2) Blume-Capel Ising ferrimagnetic system on the Bethe lattice. Ground-state phase diagrams are computed in the (DA /q|J|, DB /q|J|) plane to reveal different possible ground states of the model. Using the thermal c...
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Institute for Condensed Matter Physics
2024-12-01
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| Online Access: | https://cmpj2.icmp.lviv.ua/index.php/cmpj/article/view/108 |
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| author | M. Kake S. I. V. Hontinfinde M. Karimou R. Houenou E. Albayrak R. A. A. Yessoufou A. Kpadonou |
| author_facet | M. Kake S. I. V. Hontinfinde M. Karimou R. Houenou E. Albayrak R. A. A. Yessoufou A. Kpadonou |
| author_sort | M. Kake |
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The exact recursion relations are used to study the mixed half-integer spin-(3/2, 7/2) Blume-Capel Ising ferrimagnetic system on the Bethe lattice. Ground-state phase diagrams are computed in the (DA /q|J|, DB /q|J|) plane to reveal different possible ground states of the model. Using the thermal changes of the order-arameters, interesting temperature dependent phase diagrams are constructed in the (DA/|J|, kT/|J|), (DB/|J|, kT/|J|) planes as well as in the (D/|J|, kT/|J|) plane where D = DA = DB. It is revealed that the system exhibits first- and second-order phase transitions and compensation temperatures for specific model parameter values. Under the constraint of an external magnetic field, the model also produces multi-hysteresis behaviors as single, double and triple hysteresis cycles. Particularly, the impacts of the ferrimagnetic coupling J on the remanent magnetization and the coercitive fields for selected values of the other physical parameters of the system are pointed out. Our numerical results are qualitatively consistent with those reported in the literature.
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| format | Article |
| id | doaj-art-e41af7e7b3cb4be091e4235a67605623 |
| institution | Kabale University |
| issn | 1607-324X 2224-9079 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj-art-e41af7e7b3cb4be091e4235a676056232024-12-30T13:17:27ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2224-90792024-12-0127410.5488/CMP.27.43601Critical, compensation and hysteresis behaviors studies in the ferrimagnetic Blume-Capel model with mixed half-integer spin-(3/2, 7/2): Exact recursion relations calculationsM. Kake0S. I. V. Hontinfinde1M. Karimou2https://orcid.org/0000-0002-1422-6479R. Houenou3E. Albayrak4R. A. A. Yessoufou5A. Kpadonou6Institute of Mathematic and Physical Sciences (IMSP), Dangbo, BeninEcole Nationale Supérieure de Génie Mathématique et Modélisation (ENSGMM) d'Abomey, Bénin; University of Abomey-Calavi, Department of Physics, Benin; Ecole Nationale Supérieure de Génie Energétique et Procédés d'Abomey, BeninInstitute of Mathematic and Physical Sciences (IMSP), Dangbo, Benin; Laboratoire des Sciences d'Ingénierie et de Mathématique Appliquée (LSIMA), Benin; Ecole Nationale Supérieure de Génie Energétique et Procédés d’Abomey, BeninInstitute of Mathematic and Physical Sciences (IMSP), Dangbo, BeninErciyes University, Department of Physics, 38039, Kayseri, TurkeyInstitute of Mathematic and Physical Sciences (IMSP), Dangbo, Benin; University of Abomey-Calavi, Department of Physics, BeninInstitute of Mathematic and Physical Sciences (IMSP), Dangbo, Benin; ENS and Laboratory of Physics and Applications (LPA) of Abomey, Benin The exact recursion relations are used to study the mixed half-integer spin-(3/2, 7/2) Blume-Capel Ising ferrimagnetic system on the Bethe lattice. Ground-state phase diagrams are computed in the (DA /q|J|, DB /q|J|) plane to reveal different possible ground states of the model. Using the thermal changes of the order-arameters, interesting temperature dependent phase diagrams are constructed in the (DA/|J|, kT/|J|), (DB/|J|, kT/|J|) planes as well as in the (D/|J|, kT/|J|) plane where D = DA = DB. It is revealed that the system exhibits first- and second-order phase transitions and compensation temperatures for specific model parameter values. Under the constraint of an external magnetic field, the model also produces multi-hysteresis behaviors as single, double and triple hysteresis cycles. Particularly, the impacts of the ferrimagnetic coupling J on the remanent magnetization and the coercitive fields for selected values of the other physical parameters of the system are pointed out. Our numerical results are qualitatively consistent with those reported in the literature. https://cmpj2.icmp.lviv.ua/index.php/cmpj/article/view/108recursion relationsBlume–Capel ferrimagnetic systemground-stateBethe latticehysteresis loops |
| spellingShingle | M. Kake S. I. V. Hontinfinde M. Karimou R. Houenou E. Albayrak R. A. A. Yessoufou A. Kpadonou Critical, compensation and hysteresis behaviors studies in the ferrimagnetic Blume-Capel model with mixed half-integer spin-(3/2, 7/2): Exact recursion relations calculations Condensed Matter Physics recursion relations Blume–Capel ferrimagnetic system ground-state Bethe lattice hysteresis loops |
| title | Critical, compensation and hysteresis behaviors studies in the ferrimagnetic Blume-Capel model with mixed half-integer spin-(3/2, 7/2): Exact recursion relations calculations |
| title_full | Critical, compensation and hysteresis behaviors studies in the ferrimagnetic Blume-Capel model with mixed half-integer spin-(3/2, 7/2): Exact recursion relations calculations |
| title_fullStr | Critical, compensation and hysteresis behaviors studies in the ferrimagnetic Blume-Capel model with mixed half-integer spin-(3/2, 7/2): Exact recursion relations calculations |
| title_full_unstemmed | Critical, compensation and hysteresis behaviors studies in the ferrimagnetic Blume-Capel model with mixed half-integer spin-(3/2, 7/2): Exact recursion relations calculations |
| title_short | Critical, compensation and hysteresis behaviors studies in the ferrimagnetic Blume-Capel model with mixed half-integer spin-(3/2, 7/2): Exact recursion relations calculations |
| title_sort | critical compensation and hysteresis behaviors studies in the ferrimagnetic blume capel model with mixed half integer spin 3 2 7 2 exact recursion relations calculations |
| topic | recursion relations Blume–Capel ferrimagnetic system ground-state Bethe lattice hysteresis loops |
| url | https://cmpj2.icmp.lviv.ua/index.php/cmpj/article/view/108 |
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