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A cluster Monte Carlo algorithm for 2-dimensional spin glasses

2001; Springer Science+Business Media; Volume: 22; Issue: 4 Linguagem: Inglês

10.1007/pl00011151

1434-6036

J. Houdayer,

Random Matrices and Applications

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 2βJ) and not as a power law as T↦T c = 0.