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arXiv · 1702.08885

Locality of the anomalous Hall conductivity

Antimo Marrazzo·Raffaele Resta
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Abstract

The geometrical intrinsic contribution to the anomalous Hall conductivity (AHC) of a metal is commonly expressed as a reciprocal-space integral: as such, it only addresses unbounded and macroscopically homogeneous samples. Here we show that the geometrical AHC has an equivalent expression as a local property. We define a "geometrical marker" which actually probes the AHC in inhomogeneous systems (e.g. heterojunctions), as well as in bounded samples. The marker may even include extrinsic contributions of geometrical nature.

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Antimo Marrazzo, Raffaele Resta. 2017-02-28. Locality of the anomalous Hall conductivity. https://doi.org/10.1103/physrevb.95.121114

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