Dc Electrical Current Generated by Upstream Neutral Modes

ORAL

Abstract

We consider a setup made of a chiral charged edge mode and two counter-propagating neutral modes near the boundary of a quantum Hall edge. The charge mode is decoupled (tunneling-wise and interaction-wise) from the latter throught out most of the edge. These modes interact near the electrically active contact which they are tunnel coupled. We show that injecting downstream electrical current in the charge mode may result in a d.c. current measured in an upstream contact. Our conceptual setup may be realized with a simple edge mode of a quantum Hall phase, and a quasi 1-d XXZ spin chain.

*AD thanks Weizmann Institute of Science Deans fellowship and Israel planning and budgeting committee for financial support.

YG was supported by the Minerva Foundation, and the GIF Grant No. I-1505-303.10/2019.

GM thanks US-Israel Binational Science Foundation for its support via grant no. 2016130.

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Presenters

  • Ankur Das

    • Department of Condensed Matter Physics, Weizmann Institute of Science
    • Weizmann Institute of Science

Authors

  • Ankur Das

    • Department of Condensed Matter Physics, Weizmann Institute of Science
    • Weizmann Institute of Science

  • Sumathi Rao

    • Theoretical Physics, Harish-Chandra Research Institute, India
    • Harish-Chandra Research Institute, Prayagraj

  • Yuval Gefen

    • Department of Condensed Matter Physics, Weizmann Institute of Science
    • Weizmann Institute of Science
    • The Weizmann Institute of Science
    • Department of Condensed Matter Physics, Weizmann Institute of Science, Israel

  • Ganpathy N Murthy

    • Department of Physics and Astronomy, University of Kentucky, Lexington
    • Physics and Astronomy, University of Kentucky, Lexington
    • University of Kentucky