Ferromagnetic Heisenberg model with the Dzyaloshinskii-Moriya interaction Феромагнiтна модель Гайзенберга зi взаємодiєю Дзялошинського-Морiя

Creative Commons License


Condensed Matter Physics, vol.25, no.3, 2022 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.5488/cmp.25.33701
  • Journal Name: Condensed Matter Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Keywords: spin 1/2, ferromagnetic, Dzyaloshinskii-Moriya, XYZ model, magnetization, phase diagrams, ANTIFERROMAGNET MODEL, ANISOTROPY, TRANSITION, SKYRMIONS, CUMN
  • Kayseri University Affiliated: No


© This work is licensed under a Creative Commons Attribution 4.0 International LicenseThe spin-1/2 Heisenberg model is formulated in terms of a mean-field approximation (MFA) by using the matrix forms of spin operators Sx, Sy and Sz in three-dimensions. The considered Hamiltonian consists of bilinear exchange interaction parameters (Jx, Ky, Jz), Dzyaloshinskii-Moriya interactions (Δx, Δy, Δz ) and external magnetic field components (Hx, Hy, Hz). The magnetization and its components are obtained in the MFA with the general anisotropic case with Jx ≠ Jy ≠ Jz for various values of coordination numbers q. Then, the thermal variations of magnetizations are investigated in detail to obtain the phase diagrams of the model for the isotropic case with Jx = Jy = Jz > 0. It is found that the model exhibits ferromagnetic, paramagnetic, random phase regions and an extra ferromagnetic phase at which the components of magnetizations present branching