The XYZ model by the series expansion of exponentials for spin matrices in the mean-field approximation

ALBAYRAK E.

European Physical Journal Plus, cilt.138, sa.3, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 138 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1140/epjp/s13360-023-03802-y
  • Dergi Adı: European Physical Journal Plus
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Erciyes Üniversitesi Adresli: Evet

Özet

Abstract: The spin-1/2 XYZ model with Dzyaloshinskii-Moriya interaction (DMI) is considered in the mean-field approximation (MFA) by the series expansion of exponentials for the spin matrices. The bilinear interaction parameters J, external magnetic field H and the DMI are included into the Hamiltonian and their effects are considered for the magnetization components of the model for various values of the coordination numbers. The formulation of the model is obtained for the general interactions but the illustrations are only presented for the antiferromagnetic (AFM) model. The temperature changes of magnetizations are analyzed in detail to obtain the phase transition behavior of the model. It is found that the model presents ferromagnetic (FM) and random or oscillatory phase region (R). The AFM phase is only presented when DMI is turned off. It is also found that the R and AFM phases present only the second-order phase transitions. Graphical Abstract: [Figure not available: see fulltext.]