Spin-1 Ising model with nearest and next-nearest bilinear and biquadratic interactions on the Bethe lattice

ALBAYRAK E.

Physica B: Condensed Matter, cilt.594, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 594
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.physb.2020.412353
  • Dergi Adı: Physica B: Condensed Matter
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Anahtar Kelimeler: Spin-1, ANNNI model, Bethe lattice, Coordination number, Recursion relations, EMERY-GRIFFITHS MODEL, SIMPLE CUBIC LATTICE, PHASE-DIAGRAMS, COMPETING INTERACTIONS, MONTE-CARLO, APPROXIMATION, TRANSITIONS
  • Erciyes Üniversitesi Adresli: Evet

Özet

The spin-1 Ising model is examined on the Bethe lattice (BL) by considering the effects of nearest and next-nearest neighbor bilinear (J) and biquadratic (K) exchange interactions on a honeycomb lattice. The exact recursion relations (ERR) are employed in the double-shell approximation to obtain the order-parameters. The phase diagrams of the model are obtained from the thermal analysis of the order-parameters. The phase transition lines separating the different phase regions, i.e. ferromagnetic (FM), antiferromagnetic (AFM), paramagnetic (PM) and chaotic, are calculated. The chaotic phase regions are especially interesting which is usually observed when the system presents phase transitions from AFM to FM phases.