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Conductivity tensor of striped quantum Hall phases

Felix von Oppen·Bertrand I. Halperin·Ady Stern
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Abstract

We study the transport properties of pinned striped quantum Hall phases. We show that under quite general assumptions, the macroscopic conductivity tensor satisfies a semicircle law. In particular, this result is valid for both smectic and nematic stripe phases, independent of the presence of topological defects such as dislocations and grain boundaries. As a special case, our results explain the experimental validity of a product rule for the dissipative part of the resistivity tensor, which was previously derived by MacDonald and Fisher for a perfect stripe structure.

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Felix von Oppen, Bertrand I. Halperin, Ady Stern. 1999-10-08. Conductivity tensor of striped quantum Hall phases. https://doi.org/10.1103/physrevlett.84.2937

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