The Nature of the Spin Glass State

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  • 16 June 2000
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 as well as the infinite range SK model and the Viana-Bray model. Our results for the SK and Viana-Bray models agree with the replica symmetry breaking picture, as expected. The data for the short range models fit naturally a picture in which there are large scale excitations which cost only a finite energy but whose surface has a fractal dimension, d_s, less than the space dimension d. We also discuss the possibility that there might be crossover to other behavior at larger length scales than the sizes studied.

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