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.
Cite
@article{arxiv.cond-mat/9910132,
title = {Conductivity tensor of striped quantum Hall phases},
author = {Felix von Oppen and Bertrand I. Halperin and Ady Stern},
journal= {arXiv preprint arXiv:cond-mat/9910132},
year = {2009}
}