±J Blume–Capel Model with external magnetic field in the cluster variation method


Physica A: Statistical Mechanics and its Applications, vol.575, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 575
  • Publication Date: 2021
  • Doi Number: 10.1016/j.physa.2021.126054
  • Journal Name: Physica A: Statistical Mechanics and its Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Artic & Antarctic Regions, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Keywords: J model, Cluster variation, Blume-Capel, Ferromagnetic, Phase transition, ISING SPIN-GLASS, BETHE LATTICE
  • Erciyes University Affiliated: Yes


© 2021 Elsevier B.V.The thermal variations of the order-parameters are investigated to study the phase diagrams of the ±J Blume–Capel (BC) model in the lowest approximation of the cluster variation method (LACVM). The bilinear exchange interaction parameter J is either turned on ferromagnetically with probability p or antiferromagnetically with 1−p on the sublattices to simulate the ±J BC model. The inclusion of external magnetic field reveals many extra features which is absent otherwise. The model presents up to two first-order and three second-order phase transitions. In addition to the ferromagnetic (FM), antiferromagnetic (AFM), ferrimagnetic (FI) and paramagnetic (PM) phases, chaotic regions are also observed which maybe signaling the existence of spin glass phase. The model displays tetracritical points in addition to the double reentrant behavior.