Random Blume-Emery-Griffiths model on the Bethe lattice

Albayrak E.

PHYSICA B-CONDENSED MATTER, cilt.479, ss.107-111, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 479
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.physb.2015.09.051
  • Dergi Adı: PHYSICA B-CONDENSED MATTER
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.107-111
  • Anahtar Kelimeler: Biquadratic exchange interaction, Blume-Emery-Griffiths, Spin-1, Bethe lattice, Randomness, Phase Transitions, MULTICRITICAL PHASE-DIAGRAMS, SIMPLE CUBIC LATTICE, ONE ISING-MODEL, CRYSTAL-FIELD, TRIPLET IONS, 1ST-ORDER TRANSITIONS, CRITICAL-BEHAVIOR, MONTE-CARLO, CAPEL MODEL, MEAN-FIELD
  • Erciyes Üniversitesi Adresli: Evet

Özet

The random phase transitions of the Blume-Emery-Griffiths (BEG) model for the spin-1 system are investigated on the Bethe lattice and the phase diagrams of the model are obtained. The biquadratic exchange interaction (K) is turned on, i.e. the BEG model, with probability p either attractively (K > 0) or repulsively (K < 0) and turned off, which leads to the BC model, with the probability (1 - p) throughout the Bethe lattice. By taking the bilinear exchange interaction parameter J as a scaling parameter, the effects of the competitions between the reduced crystal fields (D/J), reduced biquadratic exchange interaction parameter (KU) and the reduced temperature (kT/J) for given values of the probability when the coordination number is q=4, i.e. on a square lattice, are studied in detail. (C) 2015 Elsevier B.V. All rights reserved.