Nature of the Spin Glass State

Details Nature of the Spin Glass State Nature of the Spin Glass State

2000-02-09

arxiv.org/abs/cond-mat/0002134v4

Phys. Rev. Lett. 85, 3017 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 postscript figures included. Final version, only minor changes made

Scientific paper

10.1103/PhysRevLett.85.3017

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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