Bond Dilution Effects on Bethe Lattice the Spin-1 Blume-Capel Model


Albayrak E.

COMMUNICATIONS IN THEORETICAL PHYSICS, vol.68, no.3, pp.361-365, 2017 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 68 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.1088/0253-6102/68/3/361
  • Title of Journal : COMMUNICATIONS IN THEORETICAL PHYSICS
  • Page Numbers: pp.361-365
  • Keywords: bond dilution, spin-1, Bethe lattice, bilinear interaction, Blume-Capel, RANDOM CRYSTAL-FIELD, EMERY-GRIFFITHS MODEL, PHASE-DIAGRAMS, ARBITRARY SPIN, ISING-MODEL, APPROXIMATION, ANISOTROPY

Abstract

The bond dilution effects are investigated for the spin-1 Blume-Capel model on the Bethe lattice by using the exact recursion relations. The bilinear interaction parameter is either turned on ferromagnetically with probability p or turned off with probability 1 - p between the nearest-neighbor spins. The thermal variations of the order-parameters are studied in detail to obtain the phase diagrams on the possible planes spanned by the temperature (T), probability (p) and crystal field (D) for the coordination numbers q = 3, 4, and 6. The lines of the second-order phase transitions, T-c-lines, combined with the first-order ones, T-t-lines, at the tricritical points (TCP) are always found for any p and q on the (T, D)-planes. It is also found that the model gives only T-c-lines, T-c-lines combined with the T-t-lines at the TCP's and only T-t-lines with the consecutively decreasing values of D on the (T, p)-planes for all q.