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Monte Carlo study of site disordered 3d Heisenberg models in the presence of a magnetic field and a weak random anisotropy

Author

Listed:
  • Belkhatir, S.
  • Bekhechi, S.
  • Southern, B.W.

Abstract

We study the 3d Heisenberg site disordered model with and without weak random anisotropy D in the presence of a uniform external longitudinal magnetic field using Monte Carlo methods. The spin and the chirality correlation lengths are measured. We provide evidence that the ”mixed chiral” phase is a chiral glass at a finite temperature transition TCG>0, whereas the spin glass temperature transition is at TSG=0 for D=0. In the anisotropic case we find that the model exhibited a strong evidence the occurrence of finite temperature transitions in the both sectors the spin and the chirality. Our estimate of the spin and chirality correlation-length exponents are compatible with our previous values obtained for the same model without anisotropy and the 3d Heisenberg spin glass.

Suggested Citation

  • Belkhatir, S. & Bekhechi, S. & Southern, B.W., 2022. "Monte Carlo study of site disordered 3d Heisenberg models in the presence of a magnetic field and a weak random anisotropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    • Handle: RePEc:eee:phsmap:v:596:y:2022:i:c:s037843712200190x
    DOI: 10.1016/j.physa.2022.127191
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