Electron hydrodynamics of two-dimensional anomalous Hall materials

We study two-dimensional (2D) electron systems in the hydrodynamic regime. We show that a geometrical Berry curvature modifies the effective Navier-Stokes equation for viscous electron flow in topological materials. For small electric fields, the Hall current becomes negligible compared to the visco...

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Bibliographic Details
Published in:Physical review. B 2021-03, Vol.103 (12), p.1, Article 125106
Main Authors: Hasdeo, Eddwi H., Ekström, Johan, Idrisov, Edvin G., Schmidt, Thomas L.
Format: Article
Language:English
Subjects:
Asymmetry
Curvature
Electric fields
Electrons
Fluid dynamics
Fluid flow
Hydrodynamics
Laminar flow
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Summary:We study two-dimensional (2D) electron systems in the hydrodynamic regime. We show that a geometrical Berry curvature modifies the effective Navier-Stokes equation for viscous electron flow in topological materials. For small electric fields, the Hall current becomes negligible compared to the viscous longitudinal current. In this regime, we highlight an unconventional Poiseuille flow with an asymmetric profile and a deviation of the maximum of the current from the center of the system. In a 2D infinite geometry, the Berry curvature leads to current whirlpools and an asymmetry of the potential profile. This phenomenon can be probed by measuring the asymmetric nonlocal resistance profile.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.103.125106