2023/04/24 by James I. Nakamura, Shuang Liang, Nakamura, James +5 · 1 citation
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena
paper · pdf · doi:10.48550/arxiv.2304.12415
openalex publication_date 2023/04/24 · openalex created_date 2023/04/27 · openalex updated_date 2026/08/01
Electronic Fabry-Pérot 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 ν= 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 ν= 1/3 state, indicating that the outer edge mode at ν= 2/5 has properties similar to the single mode at ν= 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 ± 0.02 and anyonic braiding phase θa = (-0.43 ± 0.05)× 2π, which serve as experimental verification of the theoretically predicted values of e^* = (1)/(5) and θa = -(4π)/(5).