The spin-1 Blume-Capel model with random crystal field on the Bethe lattice

Albayrak E.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, vol.390, no.9, pp.1529-1533, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 390 Issue: 9
  • Publication Date: 2011
  • Doi Number: 10.1016/j.physa.2010.12.048
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1529-1533
  • Keywords: Random crystal field, Bethe lattice, Tricritical points, EMERY-GRIFFITHS MODEL, ONE ISING-MODEL, PHASE-DIAGRAMS, SYSTEM, FERROMAGNET
  • Erciyes University Affiliated: Yes


The dependence of the phase diagrams on the random crystal field (RCF) is investigated for the spin-1 Blume-Capel (BC) model on the Bethe lattice. The calculations are carried out in terms of the recursion relations for the coordination number z = 4 which corresponds to the square lattice. The model presents tricritical points which are observed at lower negative crystal fields and higher temperatures for higher probabilities p and which vanish at lower p's. The effect of randomness is illustrated for p = 0.5 and shown that it changes the phase diagrams drastically from random to non-random systems. The reentrant behavior is also observed for appropriate p values. (C) 2011 Elsevier B.V. All rights reserved.