Corrections to scaling in the droplet picture of spin glasses

Abstract

The energy of a droplet of linear extent L in the ``droplet theory'' of spin glasses goes as $L^{\theta }$ for large L. It is argued that this formula needs to be modified by the addition of a scaling correction $L^{-\omega }$ in order to accurately describe droplet energies at the length scales currently probed in numerical simulations. With this simple modification all equilibrium numerical data on Ising spin glasses in two, three and four dimensions becomes compatible with the droplet model.

arXiv comment3 pages, no figures

Cited by in corpus (6)

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• Energy size effects of two-dimensional Ising spin glasses
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• Statistics of lowest excitations in two dimensional Gaussian spin glasses
• Energetics of clusters in the two-dimensional Ising spin glass