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The simulation of diatomic molecule of spin-3/2 Blume–Capel model with full antiferromagnetic interactions: Exacts recursion relations approach

Author

Listed:
  • Hodonou, D.G.
  • Albayrak, E.
  • Houenou, R.
  • Yessoufou, R.A.A.
  • Oke, T.D.
  • Kpadonou, A.

Abstract

In this work, we investigate the magnetic and critical properties of a diatomic molecular model in which each molecule is composed of two atoms with spin σ=σ′=3/2. The system is simulated on the Bethe lattice (BL) with coordination number q=3 using the Exacts Recursion Relations (ERR) method. To explore antiferromagnetic (AFM) behavior, all exchange interactions are chosen to be negative (J=J′=Jd=−1). The thermal variations of the sublattice magnetizations reveal the existence of several ordered phases, including five antiferromagnetic, one ferrimagnetic, and one mixed (partially ordered) phase. These phases are separated by both first- and second-order phase transition lines, giving rise to different types of critical points such as tricritical points (TCP), critical end points (CEP), and quadruple points (QP). The corresponding phase diagrams in the (D,T) and (H,T) planes exhibit rich topological structures resulting from the competition between the exchange interactions, the crystal field D, and the external magnetic field H. The results obtained provide a deeper understanding of the complex magnetic ordering phenomena in molecular-based spin systems on recursive lattices.

Suggested Citation

  • Hodonou, D.G. & Albayrak, E. & Houenou, R. & Yessoufou, R.A.A. & Oke, T.D. & Kpadonou, A., 2026. "The simulation of diatomic molecule of spin-3/2 Blume–Capel model with full antiferromagnetic interactions: Exacts recursion relations approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 682(C).
    • Handle: RePEc:eee:phsmap:v:682:y:2026:i:c:s0378437125008544
    DOI: 10.1016/j.physa.2025.131202
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    References listed on IDEAS

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    1. Salmon, Octavio D. Rodriguez & de Sousa, José Ricardo & Neto, Minos A. & Padilha, Igor T. & Azevedo, J. Roberto Viana & Neto, Francisco Dinóla, 2016. "The spin-3/2 Blume–Capel model with competing short- and long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 464(C), pages 103-114.
    2. El Hachimi, A.G. & Dakir, O. & Sidi Ahmed, S. & Zaari, H. & El Yadari, M. & Benyoussef, A. & El Kenz, A., 2016. "Random crystal field effect on the kinetic spin-3/2 Blume–Capel model under a time-dependent oscillating field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 248-258.
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