Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1998-06-11
Phys. Rev. B 58, R4246 (1998).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 1 eps figure. Accepted in PRB, RC
Scientific paper
10.1103/PhysRevB.58.R4246
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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