In the quantum Hall regime the imposed current flows unidirectionally only along the higher-potential edge while persistent currents circulate oppositely on both edges with density decreasing as Hall voltage rises.
B ¨uttiker, Absence of backscattering in the quantum Hall ef- fect in multiprobe conductors, Phys
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Current density distribution for the quantum Hall effect
In the quantum Hall regime the imposed current flows unidirectionally only along the higher-potential edge while persistent currents circulate oppositely on both edges with density decreasing as Hall voltage rises.