Ground State Structure of Spin Glasses
Disordered Systems and Neural Networks
2007-05-23 v1 Statistical Mechanics
Abstract
We investigate the ground state structure of Ising spin glasses in zero magnetic field by determining how the ground state changes in a fixed finite block far from the boundaries when the boundary conditions are changed. We find, both in two and three dimensions, that the probability of a change in the block ground state configuration tends to zero as the system size tends to infinity. This indicates a trivial ground state structure, as predicted by the droplet theory.
Keywords
Cite
@article{arxiv.cond-mat/9910278,
title = {Ground State Structure of Spin Glasses},
author = {Matteo Palassini and A. P. Young},
journal= {arXiv preprint arXiv:cond-mat/9910278},
year = {2007}
}
Comments
9 pages, 3 postscript figures. Proceedings of the Conference "Frontiers in Magnetism", Kyoto, October 4-7, 1999; to be published in Journal of the Physical Society of Japan