{ "id": "1212.1163", "version": "v1", "published": "2012-12-05T21:00:04.000Z", "updated": "2012-12-05T21:00:04.000Z", "title": "Detecting Non-Abelian Anyons by Charging Spectroscopy", "authors": [ "Gilad Ben-Shach", "Chris R. Laumann", "Izhar Neder", "Amir Yacoby", "Bertrand I. Halperin" ], "comment": "8 pages, 3 fiugres", "journal": "Phys. Rev. Lett. 110, 106805 (2013)", "doi": "10.1103/PhysRevLett.110.106805", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "Observation of non-Abelian statistics for the e/4 quasiparticles in the \\nu=5/2 fractional quantum Hall state remains an outstanding experimental problem. The non-Abelian statistics are linked to the presence of additional low energy states in a system with localised quasiparticles, and hence an additional low-temperature entropy. Recent experiments, which detect changes in the number of quasiparticles trapped in a local potential well as a function of an applied gate voltage, V_G, provide a possibility for measuring this entropy, if carried out over a suitable range of temperatures, T. We present a microscopic model for quasiparticles in a potential well and study the effects of non-Abelian statistics on the charge stability diagram in the V_G-T plane, including broadening at finite temperature. We predict a measurable slope for the first quasiparticle charging line, and an even-odd effect in the diagram, which is a signature of non-Abelian statistics.", "revisions": [ { "version": "v1", "updated": "2012-12-05T21:00:04.000Z" } ], "analyses": { "subjects": [ "71.10.Pm", "05.30.Pr", "73.43.Cd" ], "keywords": [ "detecting non-abelian anyons", "non-abelian statistics", "charging spectroscopy", "fractional quantum hall state remains", "additional low energy states" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2013, "month": "Mar", "volume": 110, "number": 10, "pages": 106805 }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1206008, "adsabs": "2013PhRvL.110j6805B" } } }