Non-compact local excitations in spin glasses
Disordered Systems and Neural Networks
2009-11-07 v2
Abstract
We study numerically the local low-energy excitations in the 3-d Edwards-Anderson model for spin glasses. Given the ground state, we determine the lowest-lying connected cluster of flipped spins with a fixed volume containing one given spin. These excitations are not compact, having a fractal dimension close to two, suggesting an analogy with lattice animals. Also, their energy does not grow with their size; the associated exponent is slightly negative whereas the one for compact clusters is positive. These findings call for a modification of the basic hypotheses underlying the droplet model.
Cite
@article{arxiv.cond-mat/0107544,
title = {Non-compact local excitations in spin glasses},
author = {J. Lamarcq and J. -P. Bouchaud and O. C. Martin and M. Mezard},
journal= {arXiv preprint arXiv:cond-mat/0107544},
year = {2009}
}
Comments
7 pages, LaTex, discussion on stability clarified