Disappearance of the de Almeida-Thouless line in six dimensions

M. A. Moore; A. J. Bray

doi:10.1103/physrevb.83.224408

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arXiv · 1102.1675

Disappearance of the de Almeida-Thouless line in six dimensions

M. A. Moore·A. J. Bray

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Abstract

We show that the Almeida-Thouless line in Ising spin glasses vanishes when their dimension d -> 6 as h_{AT}^2/T_c^2 = C(d-6)^4(1- T/T_c)^{d/2 - 1}, where C is a constant of order unity. An equivalent result which could be checked by simulations is given for the one-dimensional Ising spin glass with long-range interactions. It is shown that replica symmetry breaking also stops as d -> 6.

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BibTeX RIS

M. A. Moore, A. J. Bray. 2011-05-24. Disappearance of the de Almeida-Thouless line in six dimensions. https://doi.org/10.1103/physrevb.83.224408

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