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


Hodonou D., Albayrak E., Houenou R., Yessoufou R., Oke T., Kpadonou A.

PHYSICA A: STATISTICAL MECHANICS AND ITS APPLICATIONS, cilt.682, ss.131202, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 682
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1016/j.physa.2025.131202
  • Dergi Adı: PHYSICA A: STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Scopus, Science Citation Index Expanded (SCI-EXPANDED), Artic & Antarctic Regions, Compendex, INSPEC, MathSciNet, Public Affairs Index, zbMATH
  • Sayfa Sayıları: ss.131202
  • Erciyes Üniversitesi Adresli: Evet

Özet

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