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Absence of skew scattering in two-dimensional systems: Testing the origins of the anomalous Hall effect

Mario F. Borunda·Tamara S. Nunner·Thomas Luck·N. A. Sinitsyn·Carsten Timm·J. Wunderlich·T. Jungwirth·A. H. MacDonald·Jairo Sinova
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Abstract

We study the anomalous Hall conductivity in spin-polarized, asymmetrically confined two-dimensional electron and hole systems, focusing on skew-scattering contributions to the transport. We find that the skew scattering, principally responsible for the extrinsic contribution to the anomalous Hall effect, vanishes for the two-dimensional electron system if both chiral Rashba subbands are partially occupied, and vanishes always for the two-dimensional hole gas studied here, regardless of the band filling. Our prediction can be tested with the proposed coplanar two-dimensional electron/hole gas device and can be used as a benchmark to understand the crossover from the intrisic to the extrinsic anomalous Hall effect.

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Mario F. Borunda, Tamara S. Nunner, Thomas Luck, N. A. Sinitsyn, Carsten Timm, J. Wunderlich, T. Jungwirth, A. H. MacDonald, Jairo Sinova. 2007-02-20. Absence of skew scattering in two-dimensional systems: Testing the origins of the anomalous Hall effect. https://doi.org/10.1103/physrevlett.99.066604

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