The bimodal random crystal field and biquadratic exchange interaction effects for the spin-3/2 Ising model on the Bethe lattice

摘要

Highlights?The phase transition properties of the BEG model for spin-3/2 on the BL is considered.?Both effects of random crystal field and biquadratic exchange interactions are examined.?D (K) is either turned on with probability 1-p(q) or turned off with probabilityp(1-q).?Phase diagrams are obtained on the (K/J, kT/J) and (D/J, kT/J) planes on honeycomb lattice.?The model presents second and first order phase transitions, and also the tricritical points.AbstractThe phase transition properties of Blume–Emery–Griffiths (BEG) model for the spin-3/2 system are investigated on the Bethe lattice (BL) when the system is under the effect of both random crystal field (D) and biquadratic exchange interaction (K). These randomization effects are either turned on with probability1?p(q) or turned off with probabilityp(1?q) forDandK, respectively. The phase diagrams are obtained on the (K/J, kT/J) and (D/J, kT/J) planes for given values ofpandqwhenz=3.0corresponding to honeycomb lattice. Both attractive (K?>?0) and repulsive (K?K?→??±?∞ for the phase diagrams on the (K/J, kT/J) planes.]]>