A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses

Details A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses

2001-01-09

arxiv.org/abs/cond-mat/0101116v3

Eur. Phys. J. B 22, 479 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 9 figures, section 2 completly rewritten

Scientific paper

10.1007/PL00011151

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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