Giant anomalous Hall effect related to scalar spin chirality induced by spin-cluster scattering

Anomalous Hall effect (AHE) related to spin chirality, so-called topological Hall effect (THE), has been an important topic that involves a wide range of fields such as transport phenomena, topological materials, and magnetism. Since its proposal, most of the studies on THE focuses on the intrinsic mechanism. On the other hand, a recent theory proposed that an extrinsic mechanism for the chirality-related Hall effect also exists, in which the skew scattering of electrons by three-spin clusters produces a Hall effect proportional to the spin chirality. This mechanism is qualitatively different from the other AHEs because the spin-orbit interaction is unnecessary, potentially showing a distinct behavior from the conventional notion of AHE.

In this work, we discuss that the skew scattering by spin clusters shows a large skew angle in the order of 10 deg when the coupling between the electrons and the localized moments is strong. This large skew angle results in a large Hall angle up to 10 deg. Consequently, the scaling relation of AHE breaks down; the scaling relation between longitudinal and transverse conductivity shows skew-scattering-like relation even in the intrinsic regime, where the intrinsic Hall effect is usually dominant.