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A cluster Monte Carlo algorithm for 2-dimensional spin glasses
Authors:J Houdayer
Institution:Institut für Physik, J. Gutenberg-Universit?t Mainz, 55099 Mainz, Germany, DE
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 TT c = 0. Received 10 January 2001 and Received in final form 29 May 2001
Keywords:PACS  75  10  Nr Spin glass and other random models –  02  70  Lq Monte Carlo and statistical methods
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