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