Anyon braiding and telegraph noise in a graphene interferometer

Abstract

The search for anyons, quasiparticles with fractional charge and exotic exchange statistics, has inspired decades of condensed matter research. Quantum Hall interferometers enable direct observation of the anyon braiding phase via discrete interference phase jumps when the quasiparticle number changes. Here, we observe the universal anyonic braiding phase in both the $\nu =1/3$ and $4/3$ fractional quantum Hall states by probing three-state random telegraph noise (RTN) in real-time. We find that the observed RTN stems from anyon quasiparticle number $n$ fluctuations and reconstruct three Aharonov-Bohm oscillation signals phase shifted by $2\pi /3$, corresponding to the three possible interference branches from braiding around $n$ (mod 3) anyons. Hence, we fully characterize the anyon exchange statistics using new methods that can readily extend to non-abelian states.

19 pages, 11 figures

References in corpus (29)

• Boron nitride substrates for high-quality graphene electronics
• Non-Abelian Anyons and Topological Quantum Computation
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Fractional statistics in anyon collisions
• Anyons and the quantum Hall effect - a pedagogical review
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Even denominator fractional quantum Hall state in bilayer graphene
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Fractional charge and fractional statistics in the quantum Hall effects
• Hunting for Majoranas
• Aharonov Bohm Effect in Graphene Fabry Pérot Quantum Hall Interferometers
• A tunable Fabry-Pérot quantum Hall interferometer in graphene
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• Anyonic interference and braiding phase in a Mach-Zehnder Interferometer
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Anyons in Quantum Hall Interferometry
• High quality electrostatically defined hall bars in monolayer graphene
• Energy gap of the even-denominator fractional quantum Hall state in bilayer graphene
• Anyon braiding and telegraph noise in a graphene interferometer
• Switching noise as a probe of statistics in the fractional quantum Hall effect
• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• Nanoscale electrostatic control in ultra clean van der Waals heterostructures by local anodic oxidation of graphite gates
• Robustness of quantum Hall interferometry
• Strongly coupled edge states in a graphene quantum Hall interferometer
• Graphene-based quantum Hall interferometer with self-aligned side gates
• Aharonov-Bohm oscillations in bilayer graphene edge state Fabry-Pérot interferometers
• Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene
• Fractional Coulomb blockade for quasiparticle tunneling between edge channels
• Evidence for correlated electron pairs and triplets in quantum Hall interferometers

Cited by in corpus (10)

• Anyon braiding and telegraph noise in a graphene interferometer
• Molecular anyons in fractional quantum Hall effect
• Anyon braiding on the single edge of a fractional quantum Hall state
• Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Non-Abelian phases from the condensation of Abelian anyons
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
• Cascade of fractional quantum Hall states in 2D system
• Anyonic analogue of optical Mach-Zehnder interferometer