2008/09/19 by Martin Hasenbusch, Andrea Pelissetto, Ettore Vicari
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Theoretical and Computational Physics #cond-mat.dis-nn #hep-lat
paper · pdf · doi:10.1103/physrevb.78.214205
published as Phys. Rev. B 78 (2008) 214205 · 48 pages
arxiv created 2008/09/19 · openalex publication_date 2008/12/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin glass models on cubic lattices of size L: the \ifmmode±\else\textpm\fiJ (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and L=20, respectively), and the bond-diluted bimodal model for bond-occupation probability pb=0.45 (up to L=16). The finite-size behavior of the quartic cumulants at the critical point allows us to check very accurately that these models belong to the same universality class. Moreover, it allows us to estimate the scaling-correction exponent \ensuremathω related to the leading irrelevant operator: \ensuremathω=1.0(1). Shorter Monte Carlo simulations of the bond-diluted bimodal models at pb=0.7 and pb=0.35 (up to L=10) and of the Ising spin glass model with Gaussian bond distribution (up to L=8) also support the existence of a unique Ising spin glass universality class. A careful finite-size analysis of the Monte Carlo data which takes into account the analytic and the nonanalytic corrections to scaling allows us to obtain precise and reliable estimates of the critical exponents. We obtain \ensuremathν=2.45(15) and \ensuremathη=\ensuremath-0.375(10).