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

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 T-SG = 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.(C) 2022 Elsevier B.V. All rights reserved.

Automated summary

We studied 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 were measured. The study provided 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 T-SG = 0 for D = 0. In the anisotropic case, the model exhibited strong evidence of finite temperature transitions in both the spin and the chirality sectors. The estimated spin and chirality correlation-length exponents were compatible with the previous values obtained for the same model without anisotropy and the 3d Heisenberg spin glass.