  We analyze the spin Hall effect in CuIr alloys in theory by the combined
approach of the density functional theory (DFT) and Hartree-Fock (HF)
approximation. The SHA is obtained to be negative without the local correlation
effects. After including the local correlation effects of the 5d orbitals of Ir
impurities, the SHA becomes positive with realistic correlation parameters, and
consistent with experiment [Niimi et al., Phys. Rev. Lett. 106, 126601 (2011)].
Moreover, our analysis shows that the DFT+HF approach is a convenient and
general method to study the influence of local correlation effects on the spin
Hall effect.
