Fractional quantum Hall Fabry-Pérot edge-state interferometry in graphene

ORAL

Abstract

Quantum Hall edge state Fabry-Pérot interferometers provide a useful platform in which to study phase-coherent transport in the quantum Hall regime. A seminal experiment used this type of device to demonstrate the anyon braiding statistics of quasiparticles in the fractional quantum Hall (FQH) regime in a GaAs heterostructure [1]. Due to the promising characteristics of its FQH states—particularly the large energy gaps observed at even-denominator—graphene is an attractive venue in which to replicate and extend these results. Prior experiments have shown Fabry-Perot interference of integer quantum Hall edge modes, but until now interference in the FQH regime has remained elusive [2 - 5].

Here, we report robust, high-visibility Aharonov-Bohm dominated edge state Fabry-Pérot interference in the FQH regime. Our devices consist of small-area (less than 1 μm2) all-van der Waals-gate-defined interferometers. We present our findings on the effects of Coulomb interactions, bulk-edge coupling, and the interplay between charge fluctuations and anyon statistics on the observed interference patterns.

[1] Nakamura et. al. Nature Physics 16, 931–936 (2020)

[2] Ronen et. al. Nature Nanotech. 16, 563–569 (2021)

[3] Deprez et. al. Nature Nanotech. 16, 555–562 (2021)

[4] Zhao et. al. Nano Lett. 2022, 22, 23, 9645–9651 (2022)

[5] Fu et. al. Nano Lett. 2023, 23, 2, 718–725 (2023)

Presenters

  • Noah L Samuelson

    • University of California, Santa Barbara

Authors

  • Noah L Samuelson

    • University of California, Santa Barbara
  • Liam A Cohen

    • University of California, Santa Barbara
  • Will Wang

    • University of California, Los Angeles
  • Simon Blanch

    • University of California, Santa Barbara
  • Taige Wang

    • University of California, Berkeley
  • Takashi Taniguchi

    • Kyoto Univ
    • National Institute for Materials Science
    • Research Center for Materials Nanoarchitectonics
    • Research Center for Materials Nanoarchitectonics, National Institute for Materials Science
    • National Institute for Materials Sciences
    • NIMS
    • International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
    • National Institute for Material Science
    • International Center for Materials Nanoarchitectonics, NIMS, Japan
    • International Center for Materials Nanoarchitectonics, Tsukuba
    • National Institue for Materials Science
    • Kyoto University
    • National Institute of Materials Science
    • International Center for Materials Nanoarchitectonics and National Institute for Materials Science
  • Kenji Watanabe

    • National Institute for Materials Science
    • NIMS
    • Research Center for Electronic and Optical Materials, National Institute for Materials Science
    • Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
    • National Institute for Material Science
  • Michael P Zalatel

    • University of California, Berkeley
    • UCB
  • Andrea F Young

    • University of California, Santa Barbara