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Spin-orbit induced couplings are the source of many interesting physical phenomena like the anomalous- and spin-Hall-effects (AHE, SHE), which recently received a lot of attention due to their potential application in the field of spintronics. During the last years several theoretical works have dealt with the intrinsic AHE and SHE, based on the band structure of pure materials and only few of them use a parameter free ab initio approach. We present a coherent ab initio description of both, the AHE [LKE10a] and SHE [LKE11], that is applicable to pure and disordered alloys by treating all sources, i.e. intrinsic as well as extrinisic contributions, on equal footing. We use an implementation of the Kubo-Streda equation employing the fully relativistic KKR-CPA. For discussing spin currents we employ our recently devised relativistic spin projection scheme [relativistic spin projection scheme] and a corresponding generalization of the Kubo-Streda [Kubo-Streda formalism] equation. We illustrate the approach by giving several examples. |
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