Mixed Spin-1/2 and 5/2 Blume-Capel Model on the Bethe Lattice in the ± J Distribution with an Adjusting Parameter


ALBAYRAK E., Ozcan F. S.

Journal of Superconductivity and Novel Magnetism, cilt.33, sa.7, ss.2179-2188, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 7
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s10948-020-05478-2
  • Dergi Adı: Journal of Superconductivity and Novel Magnetism
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Chemical Abstracts Core, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2179-2188
  • Anahtar Kelimeler: Exchange interaction, Recursion relations, Blume-Capel, Mixed spin, Bethe lattice, Randomness, BOND ISING-MODEL, CRITICAL BEHAVIORS, DILUTION, GLASS, CRITICALITY
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this work, we have examined the thermal variations of the order parameters to calculate the phase diagrams for the mixed spin-1/2 and 5/2 Blume-Capel (BC) model on the Bethe lattice (BL) for the bimodal distribution of the bilinear exchange interaction, +/- J, and an adjusting parameter, alpha, between them. In addition, the values of J are distributed on the BL with probabilities p and 1 - p for J > 0 corresponding to the ferromagnetic (FM) phase and J < 0 for the antiferromagnetic (AFM) phase, respectively. The calculations are carried out in terms of the exact recursion relations (ERR) and then the probability distribution is implemented into the model. The phase diagrams are obtained on the (D, T) and (p, T) planes by varying the rest of the parameters for the coordination number q = 3 which corresponds to honeycomb lattice. We have found in addition to the first- and second-order phase transitions, a few critical points such as tricritical and bicritical points.