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Slow quasiparticle dynamics and anyonic statistics in a fractional quantum Hall Fabry-P\'erot interferometer
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Slow quasiparticle dynamics and anyonic statistics in a fractional quantum Hall Fabry-P\'erot interferometer
abstract
Anyons are particles with fractional exchange statistics that emerge as elementary excitations of fractional quantum Hall phases. Experimentally, their exchange statistics can be measured in the edge-state Fabry-P\'erot interferometer. In these devices, the presence of $N_{qp}$ localized anyons in the bulk contributes a phase $N_{qp}\theta_a$ to the interference signal. Here we report the observation of large, hysteretic phase jumps in a monolayer graphene Fabry-P\'erot interferometer at $\nu=1/3$. When the filling factor is increased from $\nu<1/3$ towards the center of the plateau, we observe phase slips with magnitude $\Delta \theta \approx 2\pi/3$, consistent with the addition of individual quasiparticles to the interferometer bulk. In contrast to prior work, however, the phase slips occur as instantaneous jumps in the interference signal, indicative of quasiparticle equilibration times exceeding 20 minutes. We use this long timescale to investigate the effect of changes in interferometer area $A_I$ and $N_{QP}$ independently at fixed magnetic field, revealing a striking memory effect in the phase slip magnitude. In particular, as the $\nu=1/3$ plateau is approached from higher filling, we observed phase slips with $\Delta \theta$ significantly larger than $2\pi/3$ over the same range of gate voltage where quantized jumps are seen for increasing $\nu$. We discuss this asymmetry in terms of bulk-edge coupling of quasiparticles localized near the edge or in the bulk, and argue that this effect can be qualitatively reconciled with theoretical expectations for strongly interacting quasiparticles in the presence of weak disorder and strongly nonequilibrium charge dynamics. Our results highlight the key role played by charge dynamics on signatures of the anyon phase, and demonstrate that fractional quasiparticles can be indefinitely localized in nonequilibrium configurations.
Forward citations
Cited by 8 Pith papers
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Anyon Exchange Phase from Antidot Interferometry
The anyon exchange phase equals the difference between transmission-phase plateaus when a gate-tuned antidot is driven through resonance in a Fabry-Perot interferometer.
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Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
Photo-assisted shot noise can detect different tunneling charges in the ν=2/3 fractional quantum Hall state even when one tunneling amplitude is much smaller than the other.
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Anyon braiding and telegraph noise in a graphene interferometer
Anyon braiding phase of 2π/3 extracted from three-state RTN in graphene interferometer for ν=1/3 and 4/3 FQHE states.
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Entropy of Non-Abelian Anyons from Slow Quasiparticle Dynamics in Quantum Hall Interferometers
An antidot inside a quantum-Hall interferometer yields the anyon entropy k_B log d from equilibrium charge curves inferred via interference-phase telegraph noise at intermediate temperatures.
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Entropy of Non-Abelian Anyons from Slow Quasiparticle Dynamics in Quantum Hall Interferometers
Proposes using time-dependent phase switching in quantum Hall interferometers to perform non-local charge measurements that extract the O(1) entropy of non-Abelian anyons at intermediate temperatures.
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Anyon Exchange Phase from Antidot Interferometry
Theoretical proposal to extract anyon exchange phase from non-monotonic transmission phase plateaus in an antidot Fabry-Perot interferometer using Keldysh theory.
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Hanbury Brown-Twiss interferometry at the $\nu=2/5$ fractional quantum Hall edge
A proposed HBT interferometer at the ν=2/5 FQHE edge yields flux-dependent noise resembling the electronic version but with fractional charge e/3 and edge scaling dimensions in the large-device limit.
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Hard and soft phase slips in a Fabry-P\'erot quantum Hall interferometer
Quantum Hall interferometry resolves individual quasiparticle charging events and distinguishes bulk-puddle from defect-localized phase slips, with equilibration times that can reach minutes.
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