Anyonic statistics and slow quasiparticle dynamics in a graphene fractional quantum Hall interferometer
arxiv(2024)
摘要
Anyons are two dimensional particles with fractional exchange statistics that
emerge as elementary excitations of fractional quantum Hall phases.
Experimentally, anyonic statistics manifest directly in the edge-state
Fabry-Pérot interferometer geometry, where the presence of N_qp localized
anyons in the interferometer bulk contributes a phase N_qpθ_a to the
observed interference pattern, where θ_a is twice the statistical
exchange phase. Here, we report a measurement of θ_a in a monolayer
graphene Fabry-Pérot interferometer at ν = 1/3. We find a preponderance
of phase slips with magnitudes Δθ≈ 2 π / 3, confirming
the result of past experiments in GaAs quantum wells and consistent with
expectations for the tunneling of Abelian anyons into the interferometer bulk.
In contrast to prior work, however, single anyon tunneling events manifest as
instantaneous and irreversible phase slips, indicative of quasiparticle
equilibration times exceeding 20 minutes in some cases. We use the discrepancy
between the quasiparticle equilibration rate and our measurement speed to vary
the interferometer area and N_qp independently, allowing us to precisely
determine the interferometer phase and monitor the entry and exit of individual
anyons to the interferometer loop in the time domain. Besides providing a
replication of previous interferometric measurements sensitive to θ_a in
GaAs, our results bring anyon dynamics into the experimental regime and suggest
that the average `topological charge' of a mesoscopic quantum Hall device can
be held constant over hour long timescales.
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