Orbital Hall Effect Accompanying Quantum Hall Effect: Landau Levels Cause Orbital Polarized Edge Currents

Abstract

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the quantum Hall effect is accompanied by an orbital Hall effect. Our quantum mechanical calculations fit well the semiclassical interpretation in terms of "skipping orbits". The chiral edge states of a quantum Hall system are orbital polarized akin to a hypothetical orbital version of the quantum anomalous Hall effect in magnetic systems. The orbital Hall resistivity scales quadratically with the magnetic field making it the dominant effect at high fields.

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. This work was supported by the EIC Pathfinder OPEN Grant No. 101129641 "Orbital Engineering for Innovative Electronics"

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• Orbitronics in Two-dimensional Materials
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• Universal intrinsic orbital dynamics from Berry curvature in electronic two-band systems
• Three-dimensional topological orbital Hall effect caused by magnetic hopfions
• Coexistent multifractal mesoscopic fluctuations in Integer Quantum Hall Transition and in Orbital Hall Transition
• Comparing the Extrinsic Orbital Hall Effect in Centrosymmetric and Noncentrosymmetric Systems: Insights from Bilayer Transition Metal Dichalcogenides
• Photonic spin Hall effect dependent on Landau level transitions in monolayer WTe2
• Orbital enhanced intrinsic nonlinear planar Hall effect for probing topological phase transition in CuTlSe${}_2$