Random Crystal Field Effects on the Mixed-Spin 1/2 and 5/2 Blume-Capel Model

ALBAYRAK E., KARIMOU M.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.57, sa.3, ss.715-725, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 57 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s10773-017-3605-2
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.715-725
  • Anahtar Kelimeler: Bethe lattice, Crystal field, Randomness, Mixed spin, Bimodal, EMERY-GRIFFITHS MODEL, ONE ISING-MODEL, MEAN-FIELD, PHASE-DIAGRAM, MAGNETIC-PROPERTIES, SYSTEM, TRANSITIONS, FERROMAGNET
  • Erciyes Üniversitesi Adresli: Evet

Özet

The Bethe lattice approach is used to examine the effect of a random crystal field (RCF) on the mixed spin-1/2 and 5/2 Blume-Capel model. A bimodal form of RCF is considered which either turns the crystal field on or off for given probabilities p and 1 - p, respectively, for the sites with spin-5/2. The exact recursion relations are employed to obtain all the characteristics of the model for given coordination numbers q = 3,4,5 and 6. The thermal variations of the order-parameters are studied and net magnetizations are classified according to the usual letter coding. The phase diagrams are obtained on the probability-temperature and crystal field-temperature planes. It is found that the model yields only one compensation temperature for appropriate values of system parameters.