Eur. Phys. J. B 81, 245-251 (2011)
https://doi.org/10.1140/epjb/e2011-20091-4

Wang-Landau study of the 3D Ising model with bond disorder

¹ Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
² Institute for Theoretical Physics and Center for Computational Materials Science, Vienna University of Technology, Hauptstraße 8-10, 1040 Vienna, Austria
³ Vienna Computational Materials Laboratory, Sensengasse 8/12, 1090 Vienna, Austria
⁴ Department of Materials Science, University of Patras, 26504 Patras, Greece

Corresponding authors: ^a panagiotis.theodorakis@univie.ac.at - ^b nfytas@phys.uoa.gr

Received: 3 February 2011
Revised: 7 April 2011
Published online: 11 May 2011

Abstract

We implement a two-stage approach of the Wang-Landau algorithm to investigate the critical properties of the 3D Ising model with quenched bond randomness. In particular, we consider the case where disorder couples to the nearest-neighbor ferromagnetic interaction, in terms of a bimodal distribution of strong versus weak bonds. Our simulations are carried out for large ensembles of disorder realizations and lattices with linear sizes L in the range . We apply well-established finite-size scaling techniques and concepts from the scaling theory of disordered systems to describe the nature of the phase transition of the disordered model, departing gradually from the fixed point of the pure system. Our analysis (based on the determination of the critical exponents) shows that the 3D random-bond Ising model belongs to the same universality class with the site- and bond-dilution models, providing a single universality class for the 3D Ising model with these three types of quenched uncorrelated disorder.