A cluster Monte Carlo algorithm for 2-dimensional spin glasses
Institut für Physik, J. Gutenberg-Universität Mainz, 55099 Mainz, Germany
Corresponding author: a email@example.com
Revised: 29 May 2001
Published online: 15 August 2001
A new Monte Carlo algorithm for 2-dimensional spin glasses is presented. The use of clusters makes possible global updates and leads to a gain in speed of several orders of magnitude. As an example, we study the 2-dimensional ±J Edwards-Anderson model. The new algorithm allows us to equilibrate systems of size 1002 down to temperature T=0.1. Our main result is that the correlation length diverges as an exponential (ξ∼e2BJ) and not as a power law as T->Tc=0.
PACS: 75.10.Nr – Spin glass and other random models / 02.70.Lq – Monte Carlo and statistical methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001