Abstract
A comprehensive description in all dimensions is provided for the scaling exponent 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 . 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.
- Received 17 June 2005
DOI:https://doi.org/10.1103/PhysRevLett.95.197205
©2005 American Physical Society