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Bi-layer Paired Quantum Hall States and Coulomb Drag

Yong Baek Kim·Chetan Nayak·Eugene Demler·Sankar Das Sarma
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Abstract

We consider three states which are likely to be realized in bi-layer quantum Hall systems at total Landau level filling fraction ${ν_T}=1$. Two of these states may be understood as paired states. One can occur as an instability of a compressible state in the large $d/l_B$ limit, where $d$ and $l_B$ are the interlayer distance and magnetic length. The other is the $(1,1,1)$ state, which is expected in the small $d/l_B$ limit. We propose that the longitudinal and Hall drag resistivities can be used to distinguish these different quantum Hall states. The drag resistivities may be computed in a straightforward manner using the paired state formulation.

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Yong Baek Kim, Chetan Nayak, Eugene Demler, Sankar Das Sarma. 2000-10-17. Bi-layer Paired Quantum Hall States and Coulomb Drag. https://doi.org/10.1103/physrevb.63.205315

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