Universal Finite-Size Scaling Functions in the 3D Ising Spin Glass

We study the three-dimensional Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Monte Carlo data are extrapolated to infinite volume with an iterative procedure for correlation lengths up to ξ≈140. The infinite-volume data are consistent with a conventional power-law singularity at finite temperature Tc. Taking into account corrections to scaling, we find Tc0ex0ex=0ex0ex1.156±0.015, ν0ex0ex=0ex0ex1.8±0.2, and η0ex0ex=0ex0ex-0.26±0.04. The data are also consistent with an exponential singularity at finite Tc, but not with an exponential singularity at zero temperature.