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Abstract
The nature of the spin glass state is investigated by studying changes to the
ground state when a weak perturbation is applied to the bulk of the system. We
consider short range models in three and four dimensions and the
infinite range Sherrington-Kirkpatrick (SK) and Viana-Bray models.
Our results for the SK and Viana-Bray models agree with the replica
symmetry breaking picture.
The data for the short range models fit naturally a picture in which
there are large scale excitations which cost a finite energy but whose
surface has a fractal dimension, $d_s$, less than the space dimension $d$.
We also discuss a possible crossover to other behavior at
larger length scales than the sizes studied.
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