Critical and hysteresis phenomena in the mixed spin-[Formula presented] anisotropic two-dimensional Heisenberg model: A Monte Carlo study

Seto G., Yessoufou R., Kpadonou A., ALBAYRAK E.

Physica A: Statistical Mechanics and its Applications, vol.604, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 604
  • Publication Date: 2022
  • Doi Number: 10.1016/j.physa.2022.127939
  • Journal Name: Physica A: Statistical Mechanics and its Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Artic & Antarctic Regions, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Keywords: Heisenberg model, Crystal field, Hysteresis loops, Critical exponent, Mixed-spin, MAGNETIC-PROPERTIES, CRITICAL EXPONENTS, ISING-MODEL, SPIN-1/2, SPIN-3/2, SYSTEM, FERROMAGNETISM
  • Kayseri University Affiliated: No

Abstract

© 2022 Elsevier B.V.The critical and hysteresis behaviors of the ferromagnetic mixed-spin system consisting of two sublattices A and B with two types of spins [Formula presented] and [Formula presented] described by anisotropic Classical-Heisenberg Model on a square lattice are examined by using Monte Carlo simulations based on metropolis algorithm. By exploiting the thermal variations of the order-parameters and the magnetic susceptibility, the phase diagrams are calculated on the (Dz/J,kBT/J), (Dx/J,kBT/J) and (Δ,kBT/J) planes and the effects of various interaction parameters in the Hamiltonian are explored. It is found that the model yields only second-order phase transitions. We have also estimated the critical exponents ν, β and γ of the model as functions of Dz and Dx by using the finite-size scaling arguments and found that they depend on the details of the model. Finally, the hysteresis behavior of the model is also investigated and it is revealed that the width of hysteresis loop decreases with temperature while it increases for positive Dz values.