The Amorphous Spin-1 Ising Model on the Bethe Lattice


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ALBAYRAK E.

ACTA PHYSICA POLONICA A, vol.134, no.6, pp.1176-1179, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 134 Issue: 6
  • Publication Date: 2018
  • Doi Number: 10.12693/aphyspola.134.1176
  • Journal Name: ACTA PHYSICA POLONICA A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1176-1179
  • Erciyes University Affiliated: Yes

Abstract

The coordination numbers z = 3, 4 and 6 corresponding to the honeycomb, square, and simple cubic lattices, respectively, are randomly taken with probabilities p,q,r between the nearest-neighbors of spin-1 atoms on the Bethe lattice to simulate amorphous materials. The exact recursion relations are employed to obtain the order-parameters with the implementation of random coordination numbers in the standard-random approach. The phase diagrams are obtained by varying the temperature for given values of crystal field, coordination numbers, and probabilities. It is found that the phase lines consist of either second-or first-order phase transitions and second- and first-order phase transitions combined at the tricritical points for appropriate values of our parameters.