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

2007/06/24 by Takayuki Shirakura, Daisuke Ninomiya, Shirakura, T. +5
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Liquid Crystal Research Advancements #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.0706.3493

openalex publication_date 2007/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine three-dimensional ± 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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