Electrostatic splitting of an Edge Magnetoplasmon Resonator
Abstract
Edge-magnetoplasmon resonators have been proposed as a powerful tool to detect anyons by introducing a quantum point contact into an isolated quantum Hall system probed via radiofrequency radiation. In this paper, we study the effect of a quantum point contact embedded within an edge-magnetoplasmon resonator and how its polarization influences the propagating magnetoplasmonic mode. Combining dc and rf measurements, we unambiguously evidence the signature of both integer (ν= 1 and $2$) and fractional quantum Hall states (ν= 4/3 and 2/3) within the radiofrequency transmission signal. Using electrostatic gating, we determine the physical parameters characterizing the electrostatic edge of an AlGaAs/GaAs based two-dimensional electron gas. We extract the dependence of the cavity perimeter with the gate voltage of the quantum point contact and fully characterize the path followed by edge magnetoplasmons in this system. Finally, we provide a geometric model in good agreement with experimental results.
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BibTeX
@misc{kouame2026electrostatic,
title = {{Electrostatic splitting of an Edge Magnetoplasmon Resonator}},
author = {Sloän Kouamé and Elric Frigerio and Giacomo Rebora and Suvankar Purkait and Yong Jin and Ulf Gennser and Antonella Cavanna and Jean-Marc Berroir and Emmanuel Baudin and Pascal Degiovanni and François Parmentier and Gwendal Fève and Gerbold Ménard},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05188},
eprint = {2609.05188},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05760837v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Electrostatic splitting of an Edge Magnetoplasmon Resonator
AU - Sloän Kouamé
AU - Elric Frigerio
AU - Giacomo Rebora
AU - Suvankar Purkait
AU - Yong Jin
AU - Ulf Gennser
AU - Antonella Cavanna
AU - Jean-Marc Berroir
AU - Emmanuel Baudin
AU - Pascal Degiovanni
AU - François Parmentier
AU - Gwendal Fève
AU - Gerbold Ménard
PY - 2026
DA - 2026/09/04
PB - HAL
DO - 10.48550/arxiv.2609.05188
UR - https://hal.science/hal-05760837v1
AB - Edge-magnetoplasmon resonators have been proposed as a powerful tool to detect anyons by introducing a quantum point contact into an isolated quantum Hall system probed via radiofrequency radiation. In this paper, we study the effect of a quantum point contact embedded within an edge-magnetoplasmon resonator and how its polarization influences the propagating magnetoplasmonic mode. Combining dc and rf measurements, we unambiguously evidence the signature of both integer (ν= 1 and $2$) and fractional quantum Hall states (ν= 4/3 and 2/3) within the radiofrequency transmission signal. Using electrostatic gating, we determine the physical parameters characterizing the electrostatic edge of an AlGaAs/GaAs based two-dimensional electron gas. We extract the dependence of the cavity perimeter with the gate voltage of the quantum point contact and fully characterize the path followed by edge magnetoplasmons in this system. Finally, we provide a geometric model in good agreement with experimental results.
ER -