English

Nature of the Spin Glass State

Disordered Systems and Neural Networks 2009-10-31 v4 Statistical Mechanics

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, dsd_s, less than the space dimension dd. We also discuss a possible crossover to other behavior at larger length scales than the sizes studied.

Keywords

Cite

@article{arxiv.cond-mat/0002134,
  title  = {Nature of the Spin Glass State},
  author = {Matteo Palassini and A. P. Young},
  journal= {arXiv preprint arXiv:cond-mat/0002134},
  year   = {2009}
}

Comments

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