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A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses

J. Houdayer
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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 100^2 down to temperature T = 0.1. Our main result is that the correlation length diverges as an exponential and not as a power law as T -> Tc = 0.

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J. Houdayer. 2001-05-28. A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses. https://doi.org/10.1007/pl00011151

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