Numerical study of metastable states in Ising spin glasses
Statistical Mechanics
2009-11-10 v1 Disordered Systems and Neural Networks
Abstract
We study numerically the structure of metastable states in the Sherrington-Kirkpatrick spin glass. We find that all non-paramagnetic stationary points of the free energy are organized into pairs, consisting in a minimum and a saddle of order one, which coalesce in the thermodynamic limit. Within the annealed approximation, the entropic contribution of these states, that is the complexity, is compatible with the supersymmetry-breaking calculation performed in [A.J. Bray and M.A. Moore, J. Phys. C, 13 L469 (1980)]. This result indicates that the supersymmetry is spontaneously broken in the Sherrington-Kirkpatrick model.
Keywords
Cite
@article{arxiv.cond-mat/0312534,
title = {Numerical study of metastable states in Ising spin glasses},
author = {Andrea Cavagna and Irene Giardina and Giorgio Parisi},
journal= {arXiv preprint arXiv:cond-mat/0312534},
year = {2009}
}