{ "id": "1902.10262", "version": "v1", "published": "2019-02-26T23:07:33.000Z", "updated": "2019-02-26T23:07:33.000Z", "title": "Particle-Hole Symmetry and the Fractional Quantum Hall Effect in the Lowest Landau Level", "authors": [ "W. Pan", "W. Kang", "M. P. Lilly", "J. L. Reno", "K. W. Baldwin", "K. W. West", "L. N. Pfeiffer", "D. C. Tsui" ], "categories": [ "cond-mat.mes-hall" ], "abstract": "We report on detailed experimental studies of a high-quality heterojunction insulated-gate field-effect transistor (HIGFET) to probe the particle-hole symmetry (PHS) of the FQHE states about half-filling in the lowest Landau level. The HIGFET was specially designed to vary the density of a two-dimensional electronic system under constant magnetic fields. We find in our constant magnetic field, variable density measurements that the sequence of FQHE states at filling factors nu = 1/3, 2/5, 3/7 ... and its particle-hole conjugate states at filling factors 1 - nu = 2/3, 3/5, 4/7 ... have a very similar energy gap. Moreover, a reflection symmetry can be established in the magnetoconductivities between the nu and 1 - nu states about half-filling. Our results demonstrate that the FQHE states in the lowest Landau level are manifestly particle-hole symmetric.", "revisions": [ { "version": "v1", "updated": "2019-02-26T23:07:33.000Z" } ], "analyses": { "keywords": [ "lowest landau level", "fractional quantum hall effect", "particle-hole symmetry", "fqhe states", "constant magnetic field" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }