Conductivity tensor of striped quantum Hall phases

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.84.2937

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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