Few-Electron Partitioning in the Fractional Quantum Hall Regime

T. Jonckheere; J. Rech; B. Grémaud

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arXiv · 2610.37950

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 $N\times N$ 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.

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T. Jonckheere, J. Rech, B. Grémaud. 2026-10-27. Few-Electron Partitioning in the Fractional Quantum Hall Regime. https://arxiv.org/abs/2610.37950

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