The random distribution of the coordination numbers in the mixed spin-1/2 and spin-2 Blume-Capel model

ALBAYRAK E.

CHINESE JOURNAL OF PHYSICS, vol.56, no.5, pp.2291-2296, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.1016/j.cjph.2018.07.002
  • Journal Name: CHINESE JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2291-2296
  • Keywords: Coordination number, Randomness, Mixed-Spin, Bethe lattice, BETHE LATTICE, ISING-MODEL, SYSTEM, FIELD
  • Erciyes University Affiliated: Yes

Abstract

The effects of random distribution of coordination numbers are investigated for the mixed spin-1/2 and spin-2 Blume-Capel model on the Bethe lattice in terms of exact recursion relations. The usual coordination numbers, i.e. q = 3, 4 and 6, corresponding to the honeycomb, square and simple cubic lattices, respectively, are considered. Two different q values are taken as couples and are varied randomly in terms of a standard-random approach on the shells of the Bethe lattice with some probabilities. It is found that the model gives either first- or second-order phase transitions for appropriate values of probability (p) and single ion anisotropy (d). One or two tricritical points are also observed depending on the given values of p and d, respectively.