Extracting the anyon charge from shot noise in complex fractional quantum Hall edges
Abstract
Shot-noise measurements with a quantum point contact provide a direct probe of the quasiparticle charge in Laughlin fractional quantum Hall (FQH) states. However, the interpretation of such measurements becomes more subtle for multichannel edges, where the point-contact tunneling noise coexists with noise generated by intermode equilibration and heating. We develop a general framework that incorporates both these contributions and apply it to the paradigmatic ν=2/3 FQH edge. We derive expressions for the drain auto- and cross-correlations in a four-terminal QPC geometry and show that equilibration-induced heating affects the auto- and cross-correlations in parametrically different way than the intrinsic partition noise. This distinction permits us to propose a specific combination of the two correlations which strongly suppresses the heating contribution and fully recovers the tunneling quasiparticle charge. Our results thereby provide a systematic framework for interpreting shot-noise measurements in complex FQH edges and can be further extended to more general counterpropagating edge structures.
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BibTeX
@misc{park2026extracting,
title = {{Extracting the anyon charge from shot noise in complex fractional quantum Hall edges}},
author = {Jinhong Park and Christian Spånslätt},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02818},
eprint = {2610.02818},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02818},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Extracting the anyon charge from shot noise in complex fractional quantum Hall edges
AU - Jinhong Park
AU - Christian Spånslätt
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.02818
UR - https://arxiv.org/abs/2610.02818
AB - Shot-noise measurements with a quantum point contact provide a direct probe of the quasiparticle charge in Laughlin fractional quantum Hall (FQH) states. However, the interpretation of such measurements becomes more subtle for multichannel edges, where the point-contact tunneling noise coexists with noise generated by intermode equilibration and heating. We develop a general framework that incorporates both these contributions and apply it to the paradigmatic ν=2/3 FQH edge. We derive expressions for the drain auto- and cross-correlations in a four-terminal QPC geometry and show that equilibration-induced heating affects the auto- and cross-correlations in parametrically different way than the intrinsic partition noise. This distinction permits us to propose a specific combination of the two correlations which strongly suppresses the heating contribution and fully recovers the tunneling quasiparticle charge. Our results thereby provide a systematic framework for interpreting shot-noise measurements in complex FQH edges and can be further extended to more general counterpropagating edge structures.
ER -