Probing quantum Hall edge chirality and the anyonic exchange angle with a three-path interferometer
Abstract
An upstream neutral mode can influence quasiparticle tunneling even when electric charge propagates only downstream. We propose a three-path fractional quantum Hall interferometer that probes this directional structure through the flux dependence of average terminal currents. Interference between direct and two-step tunneling first contributes at cubic order in the tunneling amplitudes of three weak quantum point contacts. In the local theory, equal drain voltages separate the downstream and upstream responses: for a purely downstream tunneling excitation, the cubic fundamental Aharonov-Bohm harmonic vanishes at one drain, while the other remains bright. Averaging measurements with exchanged unequal drain voltages extends this separation to a configuration in which all contacts are biased. It requires independent calibration of the electrostatic phase shift and fixed or known tunneling magnitudes. For a selected Abelian excitation with two-point correlation exponent 0<Δℓ<1, the common low-temperature bias power and directional amplitude ratio determine its scaling dimension and principal exchange angle. We also show that a weak static density interaction spanning two tunneling points can activate the dark harmonic without adding an upstream mode. In the high-bias static limit, the first-order Laughlin activated amplitude scales as E2ν−1, where E is the source-drain bias energy and ν is the filling factor. In the weak localized single-mode infrared regime, the bright harmonic retains its leading scaling and can serve as a reference in the same device. The calculation assumes one coherent tunneling species and common-temperature edge correlations with unresolved propagation times.
Related
- Extracting the anyonic exchange phase from co-tunneling through an open quantum dot
- Analog quantum simulation of bosonic and anyonic models with flux-driven transmons
- An Observable-Algebra Approach to Quantum Coherence in Anyonic Systems
- Microwave probing of magnetic phases in a dipolar-exchange magnet LiGdF4
- Quantum Noise from Massive Lorentz--Violating Gravitons: Interferometer Signatures in Very Special Linear Gravity
BibTeX
@misc{sukhorukov2026probing,
title = {{Probing quantum Hall edge chirality and the anyonic exchange angle with a three-path interferometer}},
author = {Eugene V. Sukhorukov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.24451},
eprint = {2607.24451},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.24451},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Probing quantum Hall edge chirality and the anyonic exchange angle with a three-path interferometer
AU - Eugene V. Sukhorukov
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2607.24451
UR - https://arxiv.org/abs/2607.24451
AB - An upstream neutral mode can influence quasiparticle tunneling even when electric charge propagates only downstream. We propose a three-path fractional quantum Hall interferometer that probes this directional structure through the flux dependence of average terminal currents. Interference between direct and two-step tunneling first contributes at cubic order in the tunneling amplitudes of three weak quantum point contacts. In the local theory, equal drain voltages separate the downstream and upstream responses: for a purely downstream tunneling excitation, the cubic fundamental Aharonov-Bohm harmonic vanishes at one drain, while the other remains bright. Averaging measurements with exchanged unequal drain voltages extends this separation to a configuration in which all contacts are biased. It requires independent calibration of the electrostatic phase shift and fixed or known tunneling magnitudes. For a selected Abelian excitation with two-point correlation exponent 0<Δ_ℓ<1, the common low-temperature bias power and directional amplitude ratio determine its scaling dimension and principal exchange angle. We also show that a weak static density interaction spanning two tunneling points can activate the dark harmonic without adding an upstream mode. In the high-bias static limit, the first-order Laughlin activated amplitude scales as E^2ν−1, where E is the source-drain bias energy and ν is the filling factor. In the weak localized single-mode infrared regime, the bright harmonic retains its leading scaling and can serve as a reference in the same device. The calculation assumes one coherent tunneling species and common-temperature edge correlations with unresolved propagation times.
ER -