A cluster Monte Carlo algorithm for 2-dimensional spin glasses

Authors
Houdayer, J
Citation
J. Houdayer, A cluster Monte Carlo algorithm for 2-dimensional spin glasses, EUR PHY J B, 22(4), 2001, pp. 479-484
Citations number
20
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
EUROPEAN PHYSICAL JOURNAL B
ISSN journal
14346028 → ACNP
Volume
22
Issue
4
Year of publication
2001
Pages
479 - 484
Database
ISI
SICI code
1434-6028(200108)22:4<479:ACMCAF>2.0.ZU;2-U
Abstract
A new Monte Carlo algorithm for 2-dimensional spin glasses is presented. Th e use of clusters makes possible global updates and leads to a gain in spee d of several orders of magnitude. As an example, we study the 2-dimensional +/-J Edwards-Anderson model. The new algorithm allows us to equilibrate sy stems of size 100(2) down to temperature T = 0.1. Our main result is that t he correlation length diverges as an exponential (xi similar to e(2 betaJ)) and not as a power law as T --> T-c = 0.