Spin Glass Stiffness in zero Dimensions
Disordered Systems and Neural Networks
2009-11-11 v1
Abstract
A unique analytical result for the Migdal-Kadanoff hierarchical lattice is obtained. The scaling of the defect energy for a zero-dimensional spin glass is derived for a bond distribution that is continuous at the origin. The value of the ``stiffness'' exponent in zero dimensions, y_0=-1, corresponds to the value also found in one dimension. This result complements and completes earlier findings for y_d at d>0.
Keywords
Cite
@article{arxiv.cond-mat/0604263,
title = {Spin Glass Stiffness in zero Dimensions},
author = {Stefan Boettcher},
journal= {arXiv preprint arXiv:cond-mat/0604263},
year = {2009}
}
Comments
RevTex, 8 pages, 4 ps-figures included, related articles can be found at http://www.physics.emory.edu/faculty/boettcher