Gabay–Toulouse phase transition in Heisenberg spin glasses in three dimensions

We examine three-dimensional +/-J Heisenberg models with and without random anisotropies in a magnetic field. We calculate both the stiffness exponent thetas at zero temperature and spin-glass correlation lengths for the longitudinal and transverse spin components at finite temperatures. We suggest...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2009-03, Vol.42 (11), p.115002-115002 (9)
Main Authors: Shirakura, T, Ninomiya, D, Iyama, Y, Matsubara, F
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
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Summary:We examine three-dimensional +/-J Heisenberg models with and without random anisotropies in a magnetic field. We calculate both the stiffness exponent thetas at 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 (Kawamura 1992 Phys. Rev. Lett. 68 3785, 1998 Phys. Rev. Lett. 80 5421, Hukushima and Kawamura 2000 Phys. Rev. E 61 R1008), a Gabay-Toulouse phase transition might occur when the anisotropies are absent, although the results, except for the correlation length of the chirality for larger sizes, suggest no phase transition when they are present.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/42/11/115002