Bimodal-random field Blume–Capel model in the cluster variation method

Yessoufou R., ALBAYRAK E., Seto G.

Chinese Journal of Physics, vol.77, pp.2713-2723, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 77
  • Publication Date: 2022
  • Doi Number: 10.1016/j.cjph.2022.01.007
  • Journal Name: Chinese Journal of Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.2713-2723
  • Keywords: Blume-Capel model, Spin-1, Random magnetic field, Tricritical behavior, Hysteresis loops, CRYSTAL-FIELD, ISING-MODEL, PHASE-TRANSITIONS, BETHE LATTICE, SPIN-1, ANISOTROPY
  • Kayseri University Affiliated: No

Abstract

© 2022 The Physical Society of the Republic of China (Taiwan)The outcome of the bimodal random magnetic field acting up or down along the z-axis on the spins of spin-1 with equal probability is investigated by using the lowest approximation of the cluster-variation method in the Blume–Capel model. The equal probability, [Formula presented], causes the model to give phase transitions of the form either second- or first-order. The phase diagrams of the model are computed on the (D,kBT/J) and (h,kBT/J) planes by taking into account the thermal variations of the order-parameters. The obtained phase diagrams reveal different phase regions with ground state values of 1 and 1/2 in addition to tricritical and critical end points. Simple and double hysteresis loops are also observed in the model.