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Hall Drag in Correlated Double Layer Quantum Hall Systems

Kun Yang
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Abstract

We show that in the limit of zero temperature, double layer quantum Hall systems exhibit a novel phenomena called Hall drag, namely a current driven in one layer induces a voltage drop in the other layer, in the direction perpendicular to the driving current. The two-by-two Hall resistivity tensor is quantized and proportional to the ${\bf K}$ matrix that describes the topological order of the quantum Hall state, even when the ${\bf K}$ matrix contains a zero eigenvalue, in which case the Hall conductivity tensor does not exist. Relation between the present work and previous ones is also discussed.

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Kun Yang. 1998-06-11. Hall Drag in Correlated Double Layer Quantum Hall Systems. https://doi.org/10.1103/physrevb.58.r4246

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