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We show that the Almeida-Thouless line in Ising spin glasses vanishes when their dimension d→6⁺ as hAT²/Tc²=C(d-6)⁴(1-T/Tc)^d/2-1, where C is a constant of order unity. It is shown that replica symmetry breaking also stops as d→6⁺. Equivalent results that could be checked by simulations are given for the one-dimensional Ising spin glass with long-range interactions.
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Moore et al. (2011) studied this question.
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