1999/10/25 by Leonid P. Pryadko, Efrat Shimshoni, Assa Auerbach · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.61.10929
published as Phys. Rev. B 61, 10929-40 (2000) · RevTeX 3.0, 13p., 5 figs with epsf
arxiv created 1999/10/25 · openalex publication_date 2000/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a geometry-dependent effect of long-range Coulomb interactions on quantum Hall (QH) tunneling junctions. In an X-shaped geometry, duality relates junctions with opening angles \ensuremathα and (\ensuremathπ\ensuremath-\ensuremathα). We prove that duality between weak tunneling and weak backscattering survives in the presence of long-range interactions, and that their effects are precisely cancelled in the self-dual geometry \ensuremathα=\ensuremathπ/2. Tunneling exponents as a function of \ensuremathα, the interaction strength \ensuremathχ, and the filling fraction \ensuremathν are calculated. We find that Coulomb interaction induces localization in narrow channels (large \ensuremathα), and delocalization for sharply pinched constrictions (small \ensuremathα). Consequently, an insulator-to-metal transition happens at an angle \ensuremathαc(\ensuremathχ,\ensuremathν)<~\ensuremathπ/2. We discuss the implications of our results for tunneling experiments in QH-constriction and cleaved-edge geometries.