The Dzyaloshinskii-Moriya interaction effects in antiferromagnetic Heisenberg model


ALBAYRAK E.

International Journal of Modern Physics B, vol.38, no.6, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 6
  • Publication Date: 2024
  • Doi Number: 10.1142/s0217979224500838
  • Journal Name: International Journal of Modern Physics B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Spin 1/2, antiferromagnetic, Dzyaloshinskii-Moriya, magnetization, XYZ model, phase diagrams
  • Erciyes University Affiliated: Yes

Abstract

The spin-1/2 antiferromagnetic (AFM) Heisenberg model is considered in the mean-field approximation in terms of the spin operators x,y and z in the matrix forms with the introduction of bilinear exchange interaction (Jμ), the Dzyaloshinskii-Moriya interaction (DMI) (Δμ) and external magnetic fields (Hμ) into the Hamiltonian in three dimensions. The thermal changes of sublattice magnetizations MμA and MμB are investigated in the isotropic case to identify the critical behaviors displayed by the system. The phase diagrams are illustrated on various planes of system parameters for given coordination numbers q=3,4 and 6. In addition, the graphs of the magnetization components in the same directions were drawn against each other and very interesting results were obtained. The model exhibits the ordered phases, i.e., AFM, ferromagnetic (FM), and a phase with random or oscillatory behavior (R). The phase transitions are observed between FM and R phases when for all Δμ0.0, between FM and AFM when Δμ=0.0 only and, AFM and R at low temperatures for very small Δμ and Hμ values.