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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Anyon braiding and telegraph noise in a graphene interferometer
(Submitted on 27 Mar 2024 (v1), last revised 17 Apr 2024 (this version, v2))
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.
Submission history
From: Thomas Werkmeister [view email][v1] Wed, 27 Mar 2024 20:00:56 GMT (12999kb,D)
[v2] Wed, 17 Apr 2024 15:53:09 GMT (13000kb,D)
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