Double Criticality of the Sherrington-Kirkpatrick Model at T=0
Disordered Systems and Neural Networks
2009-11-11 v2
Abstract
Numerical results up to 42nd order of replica symmetry breaking (RSB) are used to predict the singular structure of the SK spin glass at T=0. We confirm predominant single parameter scaling and derive corrections for the T=0 order function q(a), related to a Langevin equation with pseudotime 1/a. a=0 and a=\infty are shown to be two critical points for \infty-RSB, associated with two discrete spectra of Parisi block size ratios, attached to a continuous spectrum. Finite-RSB-size scaling, associated exponents, and T=0-energy are obtained with unprecedented accuracy.
Keywords
Cite
@article{arxiv.cond-mat/0608581,
title = {Double Criticality of the Sherrington-Kirkpatrick Model at T=0},
author = {Reinhold Oppermann and Manuel J. Schmidt and David Sherrington},
journal= {arXiv preprint arXiv:cond-mat/0608581},
year = {2009}
}
Comments
4 pages, 5 figures