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 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 390 Issue: 9
  • Publication Date: 2011
  • Doi Number: 10.1016/j.physa.2010.12.048
  • Title of Journal : PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Page Numbers: pp.1529-1533

Abstract

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.