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RESEARCH PRODUCT

A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses

J. Houdayer

subject

PhysicsSpin glassOrders of magnitude (time)Cluster (physics)FOS: Physical sciencesDisordered Systems and Neural Networks (cond-mat.dis-nn)Statistical physicsCondensed Matter - Disordered Systems and Neural NetworksCondensed Matter PhysicsPower lawMonte Carlo algorithmElectronic Optical and Magnetic MaterialsExponential function

description

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.

yearjournalcountryeditionlanguage
2001-08-01
10.1007/pl00011151http://arxiv.org/abs/cond-mat/0101116