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Stiffness of the Edwards-Anderson Model in all Dimensions

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.

preprint2005arXivOpen access
Stefan Boettcher
cond-mat.stat-mechcond-mat.dis-nn
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Stefan Boettcher

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