Effects of the random single-ion anisotropy on the spin-1 Blume-Emery-Griffiths model


Kple J., Hontinfinde F., ALBAYRAK E.

Journal of Magnetism and Magnetic Materials, vol.537, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 537
  • Publication Date: 2021
  • Doi Number: 10.1016/j.jmmm.2021.168217
  • Title of Journal : Journal of Magnetism and Magnetic Materials
  • Keywords: Spin-1, BEG model, Repulsive biquadratic, Staggered quadrupolar, Ferrimagnetic, Random crystal field, MULTICRITICAL PHASE-DIAGRAMS, RANDOM CRYSTAL-FIELD, SIMPLE CUBIC LATTICE, CAPEL MODEL, ISING-MODEL, MEAN-FIELD, MAGNETIC-PROPERTIES, CRITICAL-BEHAVIOR, MONTE-CARLO, BOND

Abstract

© 2021 Elsevier B.V.The Blume-Emery-Griffiths (BEG) model is considered on the Bethe lattice (BL) in terms of exact recursion relations (ERR) under the effect of a crystal field (D) which was either turned on or off randomly for a given probability. The repulsive case of biquadratic exchange interaction ((K < 0)) between the nearest-neighbor (NN) spins is assumed and the effects of changing the coordination number are also investigated. The thermal variation of the order-parameters, i.e. dipole and quadrupole moments, is examined to obtain the phase diagrams. Very rich phase diagrams with the second- and first-order phase transition lines, tricritical, bicritical and critical end points and the occurrence of reentrant behavior are observed. Different phase regions were explored which include the ferromagnetic (F), paramagnetic (P), staggered quadrupolar (SQ) and ferrimagnetic (FI) phases.