Critical behavior of the three-dimensional bond-diluted Ising spin glass: Finite-size scaling functions and Universality

Abstract

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.

Revised version. 10 pages, 9 figures, 2 tables

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• The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority
• Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass
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• Diluted antiferromagnets in a field seem to be in a different universality class than the random-field Ising model
• Critical Behavior of the Three-Dimensional Ising model with Anisotropic Bond Randomness at the Ferromagnetic-Paramagnetic Transition Line
• Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings
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