Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2006-02-08
Phys. Rev. B 73, 224431 (2006)
Physics
Condensed Matter
Disordered Systems and Neural Networks
Revised version. 10 pages, 9 figures, 2 tables
Scientific paper
10.1103/PhysRevB.73.224431
We study the three-dimensional (3D) bond-diluted Edwards-Anderson (EA) model with binary interactions at a bond occupation of 45% by Monte Carlo (MC) simulations. Using an efficient cluster MC algorithm we are able to determine the universal finite-size scaling (FSS) functions and the critical exponents with high statistical accuracy. We observe small corrections to scaling for the measured observables. The critical quantities and the FSS functions indicate clearly that the bond-diluted model for dilutions above the critical dilution p*, at which a spin glass (SG) phase appears, lies in the same universality class as the 3D undiluted EA model with binary interactions. A comparison with the FSS functions of the 3D site-diluted EA model with Gaussian interactions at a site occupation of 62.5% gives very strong evidence for the universality of the SG transition in the 3D EA model.
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