The Nature of the Spin Glass State

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  • 9 February 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. Whereas our results for the SK and Viana-Bray models agree with the standard replica symmetry breaking picture, as expected, our results for the short range models are clearly different. A natural interpretation of the latter is that 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 the standard droplet theory is correct beyond a length scale larger than the sizes studied.

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