Spin-1 Blume-Capel model with longitudinal random crystal and transverse magnetic fields: A mean-field approach

Albayrak E.

CHINESE PHYSICS B, vol.22, no.7, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 7
  • Publication Date: 2013
  • Doi Number: 10.1088/1674-1056/22/7/077501
  • Journal Name: CHINESE PHYSICS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: random crystal field, transverse field, spin-1, Blume-Capel model, EMERY-GRIFFITHS MODEL, ONE ISING-MODEL, PHASE-DIAGRAMS, FERROMAGNET, TRANSITION, BEHAVIOR, BONDS
  • Erciyes University Affiliated: Yes

Abstract

The spin-1 Blume-Capel model with transverse Omega and longitudinal external magnetic fields h, in addition to a longitudinal random crystal field D, is studied in the mean-field approximation. It is assumed that the crystal field is either turned on with probability p or turned off with probability 1 - p on the sites of a square lattice. Phase diagrams are then calculated on the reduced temperature crystal field planes for given values of gamma = Omega/J and p at zero h. Thus, the effect of changing gamma and p are illustrated on the phase diagrams in great detail and interesting results are observed.