arXiv · 2304.12415
Fabry-Perot interferometry at the $\nu$ = 2/5 fractional quantum Hall state
Abstract
Electronic Fabry-P{\'e}rot interferometry is a powerful method to probe quasiparticle charge and anyonic braiding statistics in the fractional quantum Hall regime. We extend this technique to the hierarchy $\nu = 2/5$ fractional quantum Hall state, possessing two edge modes that in our device can be interfered independently. The outer edge mode exhibits interference similar to the behavior observed at the $\nu = 1/3$ state, indicating that the outer edge mode at $\nu = 2/5$ has properties similar to the single mode at $\nu = 1/3$. The inner mode shows an oscillation pattern with a series of discrete phase jumps indicative of distinct anyonic braiding statistics. After taking into account the impact of bulk-edge coupling, we extract an interfering quasiparticle charge ${e^*} = 0.17 \pm 0.02$ and anyonic braiding phase $\theta _a = (-0.43 \pm 0.05)\times 2\pi$, which serve as experimental verification of the theoretically predicted values of $e^* = \frac{1}{5}$ and $\theta _a = -\frac{4\pi}{5}$.
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James Nakamura, Shuang Liang, Geoffrey C. Gardner, Michael J. Manfra. 2023-04-24. Fabry-Perot interferometry at the $\nu$ = 2/5 fractional quantum Hall state. https://arxiv.org/abs/2304.12415
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