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.

Locality of the anomalous Hall conductivity

MARRAZZO, ANTIMO;RESTA, Raffaele
2017-01-01

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.
2017
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https://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.121114
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2910444
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