Stiffness of the Edwards-Anderson Model in all Dimensions

Abstract

A comprehensive description in all dimensions is provided for the scaling exponent $y$ 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} $d_l=5/2$. 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.

4 RevTex pages, 2 eps Figures included; related information available at http://www.physics.emory.edu/faculty/boettcher/publications.html#EO, as to appear in PRL

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