New cluster approximation for Ising systems

AKINCI Ü.

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, vol.499, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 499
  • Publication Date: 2020
  • Doi Number: 10.1016/j.jmmm.2019.166324
  • Journal Name: JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Chimica, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: Cluster theory, Effective field approximation, Spin models
  • Dokuz Eylül University Affiliated: Yes

Abstract

A new cluster approximation based on the effective field theory for Ising systems is presented. The application of the presented method to the most basic model, namely the spin-1/2 Ising model has been carried out. Obtained critical temperatures for spin-1/2 Ising model improves the results of Bethe-Pierls approximation. Generalization of this approximation to the other spin models such as higher spin Ising model and Heisenberg model, that are capable of explaining the magnetic properties of the real materials have been discussed.