Anyon braiding and telegraph noise in a graphene interferometer
arXiv:2403.18983 · doi:10.1126/science.adp5015
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 and 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 fluctuations and reconstruct three Aharonov-Bohm oscillation signals phase shifted by , corresponding to the three possible interference branches from braiding around (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
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- 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
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- 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