## Locality of the anomalous Hall conductivity

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.

Published in:
Physical Review B, 95, 12, 121114
Year:
2017
Publisher:
College Pk, Amer Physical Soc
ISSN:
2469-9950
Laboratories:

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