The mixed spin-1/2 and spin-1 Blume-Capel model with random crystal field on the Bethe lattice: Two approaches

Albayrak E.

SOLID STATE COMMUNICATIONS, vol.159, pp.76-78, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 159
  • Publication Date: 2013
  • Doi Number: 10.1016/j.ssc.2013.01.030
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.76-78
  • Keywords: Mixed spin, Random crystal field, Spin-1, Phase diagrams, EMERY-GRIFFITHS MODEL, ISING-MODEL, MEAN-FIELD, PHASE, SYSTEM
  • Erciyes University Affiliated: Yes


The effects of a random crystal field (RCF) on the phase diagrams of the mixed spin-1/2 and spin-1 Blume-Capel model are studied in terms of the recursion relations on the Bethe lattice for the coordination number z=6. The form of the RCF distribution is given in a bimodal form as P(Delta(j)) =p delta(Delta(j)-Delta)+(1-p)delta(Delta(j)) and its effects are examined on the phase diagrams by using two different approaches: (i) The site-dependent random case and (ii) The standard random case. The phase diagrams are obtained by the two approaches on the (Delta,kT/J) planes for given values of probability p from 0 to 1 with the increment of Delta p = 0.1. Then, the obtained phase diagrams are compared to point out the differences and the effects of randomness are discussed. (C) 2013 Elsevier Ltd. All rights reserved.