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Few-Electron Partitioning in the Fractional Quantum Hall Regime

  • T. Jonckheere
  • J. Rech
  • B. Grémaud
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Abstract

Motivated by few-electron partitioning experiments [Shaju et al., Nature 642, 928 (2025)], we study the partition statistics of N-electron states at a fractional quantum Hall point contact. At the solvable point g=1/2, we obtain nonperturbative current and noise formulas for arbitrary drives, while for Lorentzian pulses (Levitons) the full counting statistics reduces to an N× N determinant. We show that the charge is transferred solely in units of e, and that symmetrized cumulants for N=2,3,4 reveal strong antibunching and higher-order correlations, observable in a (ν1,ν2)=(1,1/3) junction.

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Cite

BibTeXRIS
BibTeX
@misc{jonckheere2026fewelectron,
  title = {{Few-Electron Partitioning in the Fractional Quantum Hall Regime}},
  author = {T. Jonckheere and J. Rech and B. Grémaud},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37950},
  eprint = {2610.37950},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37950},
}
RIS
TY  - UNPB
TI  - Few-Electron Partitioning in the Fractional Quantum Hall Regime
AU  - T. Jonckheere
AU  - J. Rech
AU  - B. Grémaud
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37950
UR  - https://arxiv.org/abs/2610.37950
AB  - Motivated by few-electron partitioning experiments [Shaju et al., Nature 642, 928 (2025)], we study the partition statistics of N-electron states at a fractional quantum Hall point contact. At the solvable point g=1/2, we obtain nonperturbative current and noise formulas for arbitrary drives, while for Lorentzian pulses (Levitons) the full counting statistics reduces to an N× N determinant. We show that the charge is transferred solely in units of e, and that symmetrized cumulants for N=2,3,4 reveal strong antibunching and higher-order correlations, observable in a (ν_1,ν_2)=(1,1/3) junction.
ER  -