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

S. Belkhatir, S. Bekhechi and B.W. Southern

Physica A: Statistical Mechanics and its Applications, 2022, vol. 596, issue C

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.

Keywords: Heisenberg; Anisotropy; Monte Carlo; Magnetic field; Chiral phase; Chirality (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:596:y:2022:i:c:s037843712200190x

DOI: 10.1016/j.physa.2022.127191

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