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Topological Hall effect and Berry phase in magnetic nanostructures

P. Bruno·V. K. Dugaev·M. Taillefumier
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Abstract

We discuss the anomalous Hall effect in a two-dimensional electron gas subject to a spatially varying magnetization. This topological Hall effect (THE) does not require any spin-orbit coupling, and arises solely from Berry phase acquired by an electron moving in a smoothly varying magnetization. We propose an experiment with a structure containing 2D electrons or holes of diluted magnetic semiconductor subject to the stray field of a lattice of magnetic nanocylinders. The striking behavior predicted for such a system (of which all relevant parameters are well known) allows to observe unambiguously the THE and to distinguish it from other mechanisms.

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P. Bruno, V. K. Dugaev, M. Taillefumier. 2003-10-22. Topological Hall effect and Berry phase in magnetic nanostructures. https://doi.org/10.1103/physrevlett.93.096806

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