Phase diagrams of the random nearest-neighbor mixed spin-1/2 and spin-3/2 Blume-Capel model


ALBAYRAK E.

MODERN PHYSICS LETTERS B, vol.32, no.27, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 27
  • Publication Date: 2018
  • Doi Number: 10.1142/s0217984918503256
  • Title of Journal : MODERN PHYSICS LETTERS B
  • Keywords: Randomness, coordination number, Bethe lattice, mixed-spin, TRANSVERSE CRYSTAL-FIELD, ISING BILAYER SYSTEM, MAGNETIC-PROPERTIES, CRITICAL-BEHAVIOR, BETHE LATTICE

Abstract

The mixed spin-1/2 and spin-3/2 Blume-Capel (BC) model is considered on the Bethe lattice (BL) with randomly changing coordination numbers (CN) and examined in terms of exact recursion relations. A couple of two different CNs are changed randomly on the shells of the BL in terms of a standard-random approach to obtain the phase diagrams on possible planes of the system parameters. It is found from the thermal analysis of the order-parameters that the model only gives the second-order phase transitions as in the regular mixed case. As the probability of having larger CN increases, the temperatures of the critical lines also increase as expected.