Phys. Rev. Lett. 95, 197205 (2005) [4 pages]Stiffness of the Edwards-Anderson Model in all DimensionsReceived 17 June 2005; published 4 November 2005 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 exactly dl=5/2. Such a result would be an essential feature of any complete theory of low-temperature spin glass order and imposes a constraint that may help to distinguish between theories. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.197205
DOI:
10.1103/PhysRevLett.95.197205
PACS:
75.10.Nr, 02.60.Pn, 05.50.+q
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