Random Crystal Field Effects on the Mixed-Spin 1/2 and 5/2 Blume-Capel Model

ALBAYRAK E. , KARIMOU M.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.57, no.3, pp.715-725, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.1007/s10773-017-3605-2
  • Title of Journal : INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Page Numbers: pp.715-725
  • Keywords: Bethe lattice, Crystal field, Randomness, Mixed spin, Bimodal, EMERY-GRIFFITHS MODEL, ONE ISING-MODEL, MEAN-FIELD, PHASE-DIAGRAM, MAGNETIC-PROPERTIES, SYSTEM, TRANSITIONS, FERROMAGNET

Abstract

The Bethe lattice approach is used to examine the effect of a random crystal field (RCF) on the mixed spin-1/2 and 5/2 Blume-Capel model. A bimodal form of RCF is considered which either turns the crystal field on or off for given probabilities p and 1 - p, respectively, for the sites with spin-5/2. The exact recursion relations are employed to obtain all the characteristics of the model for given coordination numbers q = 3,4,5 and 6. The thermal variations of the order-parameters are studied and net magnetizations are classified according to the usual letter coding. The phase diagrams are obtained on the probability-temperature and crystal field-temperature planes. It is found that the model yields only one compensation temperature for appropriate values of system parameters.