Eur. Phys. J. B 22, 479-484 (2001)
https://doi.org/10.1007/PL00011151

A cluster Monte Carlo algorithm for 2-dimensional spin glasses

Institut für Physik, J. Gutenberg-Universität Mainz, 55099 Mainz, Germany

Corresponding author: ^a jerome.houdayer@polytechnique.org

Received: 10 January 2001
Revised: 29 May 2001
Published online: 15 August 2001

Abstract

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∼e^2BJ) and not as a power law as T->Tc=0.