{ "id": "2006.06018", "version": "v1", "published": "2020-06-10T18:11:04.000Z", "updated": "2020-06-10T18:11:04.000Z", "title": "Noise on the Non-Abelian $ν=5/2$ Fractional Quantum Hall Edge", "authors": [ "Jinhong Park", "Christian Spånslätt", "Yuval Gefen", "Alexander D. Mirlin" ], "comment": "6+4 pages; 2+0 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "The recent measurement of a half-integer thermal conductance for the $\\nu=5/2$ fractional quantum Hall state has confirmed its non-Abelian nature, making the question of the underlying topological order highly intriguing. We analyze the shot noise at the edge of the three most prominent non-Abelian candidate states. We show that the noise scaling with respect to the edge length can, in combination with the thermal conductance, be used to experimentally distinguish between the Pfaffian, anti-Pfaffian, and particle-hole-Pfaffian edge structures.", "revisions": [ { "version": "v1", "updated": "2020-06-10T18:11:04.000Z" } ], "analyses": { "keywords": [ "fractional quantum hall edge", "fractional quantum hall state", "prominent non-abelian candidate states", "half-integer thermal conductance", "particle-hole-pfaffian edge structures" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }