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arXiv · 1805.06547

Two-particle collisional coordinate shifts and hydrodynamic anomalous Hall effect in systems without Lorentz invariance

D. A. Pesin
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Abstract

We show that electrons undergoing a two-particle collision in a crystal experience a coordinate shift that depends on their single-particle Bloch wave functions, and derive a gauge-invariant expression for such shift, valid for arbitrary band structures, and arbitrary two-particle interaction potentials. As an application of the theory, we consider two-particle coordinate shifts for Weyl fermions in space of three spatial dimensions. We demonstrate that such shifts in general contribute to the anomalous Hall conductivity of a clean electron liquid.

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D. A. Pesin. 2018-05-16. Two-particle collisional coordinate shifts and hydrodynamic anomalous Hall effect in systems without Lorentz invariance. https://doi.org/10.1103/physrevlett.121.226601

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