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

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Abstract The 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… Click to show full abstract

Abstract The 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 probability 1 − p (q) or turned off with probability p ( 1 − q ) for D and K, respectively. The phase diagrams are obtained on the (K/J, kT/J) and (D/J, kT/J) planes for given values of p and q when z = 3.0 corresponding to honeycomb lattice. Both attractive (K > 0) and repulsive (K

Keywords: biquadratic exchange; field biquadratic; bethe lattice; random crystal; crystal field; lattice

Journal Title: Chinese Journal of Physics
Year Published: 2017

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