Stiffness of the Edwards-Anderson Model in all Dimensions

preprint2005arXivOpen access

Abstract

A comprehensive description in all dimensions is provided for the scaling exponent yy of low-energy excitations in the Ising spin glass introduced by Edwards and Anderson. A combination of extensive numerical as well as theoretical results suggest that its lower critical dimension is {\it exactly} dl=5/2d_l=5/2. Such a result would be an essential feature of any complete model of low-temperature spin glass order and imposes a constraint that may help to distinguish between theories.

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