Absence of strong skew scattering in crystals with multi-sheeted Fermi surfaces

TL;DR

This paper investigates the extrinsic contributions to the anomalous and spin Hall effects in dilute alloys with multi-sheeted Fermi surfaces, finding that strong skew scattering is absent in such materials, which impacts the understanding of their transport properties.

Contribution

It demonstrates the absence of strong skew scattering in crystals with multi-sheeted Fermi surfaces, clarifying the relationship between intrinsic and extrinsic contributions to Hall effects.

Findings

Strong skew scattering is absent in these crystals.

Intrinsic and skew-scattering contributions are mutually exclusive.

Conditions for giant skew-scattering-induced anomalous Hall effect are identified.

Abstract

We consider an extrinsic contribution to the anomalous and spin Hall effect in dilute alloys based on Fe, Co, Ni, and Pt hosts with different substitutional impurities. It is shown that a strong skew-scattering mechanism is absent in such crystals with multi-sheeted Fermi surfaces. Based on this finding, we conclude on the mutual exclusion of strong intrinsic and skew-scattering contributions to the considered transport phenomena. It also allows us to draw general conditions for materials where the anomalous Hall effect caused by the skew scattering can be achieved giant.