Corrections to scaling are large for droplets in two-dimensional spin glasses.
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 shown by numerical studies of large droplets in two-dimensional systems 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. Using this simple modification, it is now possible to explain many results which have been found in simulations of three-dimensional Ising spin glasses with the droplet model.
Hartmann
A K
AK
Institut für Theoretische Physik, Universität Göttingen, Bunsenstrasse 9, 37037 Göttingen, Germany.
Moore
M A
MA