Statistics of lowest excitations in two dimensional Gaussian spin glasses
Abstract
A detailed investigation of lowest excitations in two-dimensional Gaussian spin glasses is presented. We show the existence of a new zero-temperature exponent lambda describing the relative number of finite-volume excitations with respect to large-scale ones. This exponent yields the standard thermal exponent of droplet theory theta through the relation, theta=d(lambda-1). Our work provides a new way to measure the thermal exponent theta without any assumption about the procedure to generate typical low-lying excitations. We find clear evidence that theta < theta_{DW} where theta_{DW} is the thermal exponent obtained in domain-wall theory showing that MacMillan excitations are not typical.
Cite
@article{arxiv.cond-mat/0106554,
title = {Statistics of lowest excitations in two dimensional Gaussian spin glasses},
author = {M. Picco and F. Ritort and M. Sales},
journal= {arXiv preprint arXiv:cond-mat/0106554},
year = {2013}
}
Comments
4 pages, 3 figures, (v2) revised version, (v3) corrected typos