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Critical and hysteresis phenomena in the mixed spin-(32,12) anisotropic two-dimensional Heisenberg model: A Monte Carlo study

Author

Listed:
  • Seto, G.
  • Yessoufou, R.A.A.
  • Kpadonou, A.
  • Albayrak, E.

Abstract

The critical and hysteresis behaviors of the ferromagnetic mixed-spin system consisting of two sublattices A and B with two types of spins SA=32 and SB=12 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.

Suggested Citation

  • Seto, G. & Yessoufou, R.A.A. & Kpadonou, A. & Albayrak, E., 2022. "Critical and hysteresis phenomena in the mixed spin-(32,12) anisotropic two-dimensional Heisenberg model: A Monte Carlo study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    • Handle: RePEc:eee:phsmap:v:604:y:2022:i:c:s0378437122005969
    DOI: 10.1016/j.physa.2022.127939
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