Fractional Coulomb blockade for quasiparticle tunneling between edge channels

Abstract

We study the magneto-conductance of a $1.4\mu \mathrm{m}$-wide quantum dot in the fractional quantum Hall regime. For a filling factor $\approx 2/3$ and $\gtrsim 1/3$ in the quantum dot the observed Coulomb resonances show a periodic modulation in magnetic field. This indicates a non-trivial reconstruction of the 2/3 fractional quantum Hall state in the quantum dot. We present a model for the charge stability diagram of the system assuming two compressible regions separated by an incompressible stripe of filling factor $2/3$ and $1/3$, respectively. From the dependence of the magnetic field period on total magnetic field we construct the zero-field charge density distribution in the quantum dot. The tunneling between the two compressible regions exhibits fractional Coulomb blockade. For both filling factor regions, we extract a fractional charge $e^{\ast }/e=0.32\pm 0.03$ by comparing to measurements at filling factor 2. With their close relation to quantum Hall Fabry-Pérot interferometers, our investigations on quantum dots in the fractional quantum Hall regime extend and complement interference experiments investigating the nature of anyonic fractional quantum Hall quasiparticles.

arXiv comment7 pages, 4 figures

References in corpus (30)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• An Electronic Mach-Zehnder Interferometer
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Fractional statistics in anyon collisions
• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state
• Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
• Theory of the Fabry-Perot Quantum Hall Interferometer
• The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
• Influence of Interactions on Flux and Back-gate Period of Quantum Hall Interferometers
• Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Observation of Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer
• Primary-Filling e/3 Quasiparticle Interferometer
• Fabry-Perot Interferometry with Fractional Charges
• A New Paradigm for Edge Reconstruction in Fractional Quantum Hall States
• Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
• Aharonov-Bohm electron interferometer in the integer quantum Hall regime
• A Josephson frequency for fractionally charged anyons
• Robust Electron Pairing in the Integer Quantum Hall Effect Regime
• Quantum transport in electron Fabry-Perot interferometers
• Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states
• Observation of Interaction-Induced Modulations of a Quantum Hall Liquid's Area
• Coulomb Oscillations in Antidots in the Integer and Fractional Quantum Hall Regimes
• Electron interferometry in quantum Hall regime: Aharonov-Bohm effect of interacting electrons
• Transport properties of quantum dots with hard walls
• Interaction-induced interference in the integer quantum Hall effect
• Microwave photons emitted by fractionally charged quasiparticles
• Observation of quantum Hall interferometer phase jumps due to changing quasiparticle number
• Structured Back Gates for High-Mobility Two-Dimensional Electron Systems Using Oxygen Ion Implantation
• Flux period scaling in the Laughlin quasiparticle interferometer

Cited by in corpus (10)

• Fractional charge and fractional statistics in the quantum Hall effects
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Anyon braiding and telegraph noise in a graphene interferometer
• Emission and Coherent Control of Levitons in Graphene
• Observation of the scaling dimension of fractional quantum Hall anyons
• Measuring topological entanglement entropy using Maxwell relations
• Spin-Selective Equilibration among Integer Quantum Hall Edge Channels
• Tunable tunnel coupling in a double quantum antidot with cotunneling via localized state
• Localizing Individual Exciton on a Quantum Hall Antidot
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations