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Observation of ballistic upstream modes at fractional quantum Hall edges of graphene

Author

Listed:
  • Ravi Kumar

    (Indian Institute of Science)

  • Saurabh Kumar Srivastav

    (Indian Institute of Science)

  • Christian Spånslätt

    (Chalmers University of Technology
    Karlsruhe Institute of Technology
    Karlsruhe Institute of Technology)

  • K. Watanabe

    (National Institute of Material Science)

  • T. Taniguchi

    (National Institute of Material Science)

  • Yuval Gefen

    (Weizmann Institute of Science)

  • Alexander D. Mirlin

    (Karlsruhe Institute of Technology
    Karlsruhe Institute of Technology
    Petersburg Nuclear Physics Institute
    L. D. Landau Institute for Theoretical Physics RAS)

  • Anindya Das

    (Indian Institute of Science)

Abstract

The presence of “upstream” modes, moving against the direction of charge current flow in the fractional quantum Hall (FQH) phases, is critical for the emergence of renormalized modes with exotic quantum statistics. Detection of excess noise at the edge is a smoking gun for the presence of upstream modes. Here, we report noise measurements at the edges of FQH states realized in dual graphite-gated bilayer graphene devices. A noiseless dc current is injected at one of the edge contacts, and the noise generated at contacts at length, L = 4 μm and 10 μm away along the upstream direction is studied. For integer and particle-like FQH states, no detectable noise is measured. By contrast, for “hole-conjugate” FQH states, we detect a strong noise proportional to the injected current, unambiguously proving the existence of upstream modes. The noise magnitude remains independent of length, which matches our theoretical analysis demonstrating the ballistic nature of upstream energy transport, quite distinct from the diffusive propagation reported earlier in GaAs-based systems.

Suggested Citation

  • Ravi Kumar & Saurabh Kumar Srivastav & Christian Spånslätt & K. Watanabe & T. Taniguchi & Yuval Gefen & Alexander D. Mirlin & Anindya Das, 2022. "Observation of ballistic upstream modes at fractional quantum Hall edges of graphene," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-021-27805-4
    DOI: 10.1038/s41467-021-27805-4
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    References listed on IDEAS

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    1. Yang Ji & Yunchul Chung & D. Sprinzak & M. Heiblum & D. Mahalu & Hadas Shtrikman, 2003. "An electronic Mach–Zehnder interferometer," Nature, Nature, vol. 422(6930), pages 415-418, March.
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    Cited by:

    1. Ravi Kumar & Saurabh Kumar Srivastav & Ujjal Roy & Jinhong Park & Christian Spånslätt & K. Watanabe & T. Taniguchi & Yuval Gefen & Alexander D. Mirlin & Anindya Das, 2024. "Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    2. Saurabh Kumar Srivastav & Ravi Kumar & Christian Spånslätt & K. Watanabe & T. Taniguchi & Alexander D. Mirlin & Yuval Gefen & Anindya Das, 2022. "Determination of topological edge quantum numbers of fractional quantum Hall phases by thermal conductance measurements," Nature Communications, Nature, vol. 13(1), pages 1-8, December.

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