Fractal Droplets in Two Dimensional Spin Glasses
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
The two-dimensional Edwards-Anderson model with Gaussian bond distribution is investigated at T=0 with a numerical method. Droplet excitations are directly observed. It turns out that the averaged volume of droplets is proportional to l^D with D = 1.80(2) where l is the spanning length of droplets, revealing their fractal nature. The exponent characterizing the l dependence of the droplet excitation energy is estimated to be -0.42(4), clearly different from the stiffness exponent for domain wall excitations.
Keywords
Cite
@article{arxiv.cond-mat/9910366,
title = {Fractal Droplets in Two Dimensional Spin Glasses},
author = {Naoki Kawashima},
journal= {arXiv preprint arXiv:cond-mat/9910366},
year = {2009}
}
Comments
4 pages 4 figures