The spin-3/2 Blume-Capel model with two spins per site of the Bethe lattice

ALBAYRAK E.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, cilt.39, sa.23, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 23
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0217979225502194
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Spin-3/2, molecule, Blume-Capel, magnetization, phase diagrams, phase transitions
  • Erciyes Üniversitesi Adresli: Evet

Özet

The exact recursion relations are employed to study the magnetization and phase transition properties by assuming that each site of a Bethe lattice is occupied by two spin-3/2 atoms forming diatomic molecules in the Blume-Capel model. The atoms interact ferromagnetically via three distinct bilinear coupling parameters: intra-site (J > 0), nearest-neighbor (J' > 0) and diagonal inter-site (J(D) > 0). The crystal field (D) is also active at all sites of the Bethe lattice of coordination number three. The thermal variations of the magnetizations are examined at the core molecule to obtain its phase transition properties. The phase diagrams mapped on the (D, T) and (J, T) planes show that the model presents second-and first-order phase transitions. The obtained first-order phase transition line terminating at the isolated endpoints separating the phases (+/- 1/2, +/- 1/2) from (+/- 3/2, +/- 3/2) is the result of the usual BC phase diagram on the (D, T) plane. The phase diagrams obtained on the (J, T) planes give either only second-order lines, second-and first-order lines, or second-and two first-order lines for given parameters that are not seen in the usual spin-3/2 models.