Ground state stability in two spin glass models
Disordered Systems and Neural Networks
2020-01-22 v1 Mathematical Physics
math.MP
Probability
Abstract
An important but little-studied property of spin glasses is the stability of their ground states to changes in one or a finite number of couplings. It was shown in earlier work that, if multiple ground states are assumed to exist, then fluctuations in their energy differences --- and therefore the possibility of multiple ground states --- are closely related to the stability of their ground states. Here we examine the stability of ground states in two models, one of which is presumed to have a ground state structure that is qualitatively similar to other realistic short-range spin glasses in finite dimensions.
Cite
@article{arxiv.2001.06527,
title = {Ground state stability in two spin glass models},
author = {L. -P. Arguin and C. M. Newman and D. L. Stein},
journal= {arXiv preprint arXiv:2001.06527},
year = {2020}
}
Comments
8 pages; to appear in memorial volume for Vladas Sidoravicius