Stiffness of the Edwards-Anderson Model in all Dimensions
Statistical Mechanics
2016-08-31 v2 Disordered Systems and Neural Networks
Abstract
A comprehensive description in all dimensions is provided for the scaling exponent of low-energy excitations in the Ising spin glass introduced by Edwards and Anderson. A combination of extensive numerical as well as theoretical results suggest that its lower critical dimension is {\it exactly} . Such a result would be an essential feature of any complete model of low-temperature spin glass order and imposes a constraint that may help to distinguish between theories.
Cite
@article{arxiv.cond-mat/0508061,
title = {Stiffness of the Edwards-Anderson Model in all Dimensions},
author = {Stefan Boettcher},
journal= {arXiv preprint arXiv:cond-mat/0508061},
year = {2016}
}
Comments
4 RevTex pages, 2 eps Figures included; related information available at http://www.physics.emory.edu/faculty/boettcher/publications.html#EO, as to appear in PRL