A cluster Monte Carlo algorithm for 2-dimensional spin glasses |
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Authors: | J Houdayer |
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Institution: | Institut für Physik, J. Gutenberg-Universit?t Mainz, 55099 Mainz, Germany, DE
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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 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.
Received 10 January 2001 and Received in final form 29 May 2001 |
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Keywords: | PACS 75 10 Nr Spin glass and other random models – 02 70 Lq Monte Carlo and statistical methods |
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