Trimodal-random field Blume-Capel model

ALBAYRAK E.

MODERN PHYSICS LETTERS B, vol.35, no.16, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 16
  • Publication Date: 2021
  • Doi Number: 10.1142/s0217984921502705
  • Journal Name: MODERN PHYSICS LETTERS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Keywords: Trimodal, random magnetic field, Blume-Capel model, Bethe lattice, tricritical points
  • Erciyes University Affiliated: Yes

Abstract

The external random magnetic field (H-i) with three nodes, i.e. acting up and down along the z-axis and zero, effective on the spins in the Blume-Capel model is analyzed on the Bethe lattice in terms of the exact recursion relations. All the nodes are assumed to have the same probability, p = 1/3, so that the model could give various kinds of phase transitions. As a mapping of the phase transitions, the phase diagrams are constructed on two different planes which present very rich and interesting phase diagrams. In addition to the second- and first-order phase transitions, a few critical points, reentrant and double reentrant behaviors are also observed.