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


Yessoufou R. A. A., Albayrak E., Seto G.

CHINESE JOURNAL OF PHYSICS, vol.77, pp.2713-2723, 2022 (SCI-Expanded)

  • 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)
  • Page Numbers: pp.2713-2723
  • Keywords: Blume-Capel model, Spin-1, Random magnetic field, Tricritical behavior, Hysteresis loops
  • Erciyes University Affiliated: Yes

Abstract

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, p = 21, 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.