1999/10/08 by Felix von Oppen, Bertrand I. Halperin, Ady Stern · 30 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Conductivity #Dissipative system #Electrical resistivity and conductivity #Electron #Geometry #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Tensor (intrinsic definition) #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.84.2937
published in Physical Review Letters 84(13), 2937-2940 (American Physical Society) · 5 pages, 2 figures
arxiv created 1999/10/08 · openalex publication_date 2000/03/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 and orientational 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 (cond-mat/9907278) for a perfect stripe structure.