Anyon Exchange Phase from Antidot Interferometry

Matthias Thamm; Felix Puster; Bernd Rosenow

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arXiv · 2606.24831

Anyon Exchange Phase from Antidot Interferometry

Matthias Thamm·Felix Puster·Bernd Rosenow

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Abstract

Quasiparticles in fractional quantum Hall systems are anyons, carrying a fraction of the electron charge. Exchanging two of them gives rise to a fractional exchange phase. While the fractional charge and the braiding phase -- twice the exchange phase -- have been measured, the exchange phase itself has remained inaccessible. We study a quantum antidot embedded in a Fabry-Perot interferometer. Within a systematic non-equilibrium Keldysh treatment that consistently includes the occupation and level broadening of the antidot, we find that the transmission phase evolves non-monotonically when a gate voltage tunes the antidot through a resonance, in contrast to the monotonic evolution for electrons. The bare exchange phase can be extracted from the difference between the phase plateaus.

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Matthias Thamm, Felix Puster, Bernd Rosenow. 2026-06-23. Anyon Exchange Phase from Antidot Interferometry. https://arxiv.org/abs/2606.24831

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