{ "id": "1901.08452", "version": "v1", "published": "2019-01-24T15:24:49.000Z", "updated": "2019-01-24T15:24:49.000Z", "title": "Aharonov-Bohm interference of fractional quantum Hall edge modes", "authors": [ "James Nakamura", "Saeed Fallahi", "Harshad Sahasrabudhe", "Rajib Rahman", "Shuang Liang", "Geoffrey C. Gardner", "Michael J. Manfra" ], "comment": "18 pages, 11 figures. A revised version of this manuscript and supplementary material will appear in Nature Physics", "categories": [ "cond-mat.mes-hall" ], "abstract": "We demonstrate operation of a small Fabry-Perot interferometer in which highly coherent Aharonov-Bohm oscillations are observed in the integer and fractional quantum Hall regimes. Using a novel heterostructure design, Coulomb effects are drastically suppressed. Coherency of edge mode interference is characterized by the energy scale for thermal damping, ${T_0=206}mK$ at $\\nu=1$. Selective backscattering of edge modes originating in the ${N=0,1,2}$ Landau levels allows for independent determination of inner and outer edge mode velocities. Clear Aharonov-Bohm oscillations are observed at fractional filling factors $\\nu=2/3$ and $\\nu=1/3$. Our device architecture provides a platform for measurement of anyonic braiding statistics.", "revisions": [ { "version": "v1", "updated": "2019-01-24T15:24:49.000Z" } ], "analyses": { "keywords": [ "fractional quantum hall edge modes", "aharonov-bohm interference", "fractional quantum hall regimes", "outer edge mode velocities", "highly coherent aharonov-bohm oscillations" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }