Staggered Quadrupolar Phase in the Bond-Diluted Spin-1 Blume-Emery-Griffiths Model

Kple J., Hontinfinde F., Albayrak E.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.59, ss.3915-3935, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 59 Konu: 12
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s10773-020-04643-6
  • Sayfa Sayıları: ss.3915-3935


The random bond-dilution effects of bilinear interaction parameter J(ij) between the nearest-neighbor (NN) sites are taken into consideration for the spin-1 Blume-Emery-Griffiths (BEG) model on the Bethe lattice (BL) comprised of two interpenetrating equivalent sublattices A and B for given coordination number z in terms of exact recursion relations (ERR). A bimodal distribution for J(ij) is assumed which is either introduced with probability p or closed with 1 - p. It is assumed that the biquadratic exchange interaction parameter (K) is constant between the NN spins and the single-ion anisotropy parameter (D) is taken to be equivalent on the sublattices A and B. After the study of thermal changes of the order-parameters, the phase diagrams are calculated on possible planes spanned by our system parameters. It is found that the model presents both first- and second-order phase transitions. In addition to the well-known ferromagnetic (F), paramagnetic (P) and ferrimagnetic (FI) phases, the staggered quadrupolar (SQ) phase is also observed. The bicritical point (BCP) for all z and double BCP with z >= 4 are observed. The tetracritical point was also found for lower values of p with z >= 5.