  We report on first-principles calculations of the side-jump contribution to
the anomalous Hall conductivity (AHC) directly from the electronic structure of
a perfect crystal. We implemented our approach for a short-range scattering
disorder model within the density functional theory and computed the full
scattering-independent AHC in elemental bcc Fe, hcp Co, fcc Ni, and L1o FePd
and FePt alloys. The full AHC thus calculated agrees systematically with
experiment to a degree unattainable so far, correctly capturing the previously
missing elements of side-jump contributions, hence paving the way to a truly
predictive theory of the anomalous Hall effect and turning it from a
characterization tool to a probing tool of multi-band complex electronic band
structures.
