Coulomb interactions and delocalization in quantum Hall constrictions

Leonid P. Pryadko, Efrat Shimshoni

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

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 (Formula presented) and (Formula presented) 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 (Formula presented) Tunneling exponents as a function of (Formula presented) the interaction strength (Formula presented) and the filling fraction (Formula presented) are calculated. We find that Coulomb interaction induces localization in narrow channels (large (Formula presented) and delocalization for sharply pinched constrictions (small (Formula presented) Consequently, an insulator-to-metal transition happens at an angle (Formula presented) We discuss the implications of our results for tunneling experiments in QH-constriction and cleaved-edge geometries.

Original languageEnglish
Pages (from-to)10929-10940
Number of pages12
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume61
Issue number16
DOIs
StatePublished - 2000
Externally publishedYes

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