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arXiv · 0706.3493

Gabay-Toulouse Phase Transition in Heisenberg Spin-Glasses in Three Dimensions

T. Shirakura·D. Ninomiya·Y. Iyama·F. Matsubara
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Abstract

We examine three-dimensional $\pm J$ Heisenberg models with and without random anisotropies in a magnetic field. We calculate both the stiffness exponent $θ_s$ at absolute zero temperature and spin-glass correlation lengths for the longitudinal and transverse spin components at finite temperatures. We suggest that, contrary to a chirality scenario predicted by Kawamura and his co-workers, a Gabay-Toulouse phase transition occurs when the anisotropies are absent, although no phase transition occurs when they are present.

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T. Shirakura, D. Ninomiya, Y. Iyama, F. Matsubara. 2007-06-24. Gabay-Toulouse Phase Transition in Heisenberg Spin-Glasses in Three Dimensions. https://arxiv.org/abs/0706.3493

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