{ "id": "1110.4280", "version": "v2", "published": "2011-10-19T13:39:34.000Z", "updated": "2011-10-20T08:11:10.000Z", "title": "Topological quantum number and critical exponent from conductance fluctuations at the quantum Hall plateau transition", "authors": [ "I. C. Fulga", "F. Hassler", "A. R. Akhmerov", "C. W. J. Beenakker" ], "comment": "6 pages, 9 figures", "journal": "Phys. Rev. B 84, 245447 (2011)", "doi": "10.1103/PhysRevB.84.245447", "categories": [ "cond-mat.mes-hall" ], "abstract": "The conductance of a two-dimensional electron gas at the transition from one quantum Hall plateau to the next has sample-specific fluctuations as a function of magnetic field and Fermi energy. Here we identify a universal feature of these mesoscopic fluctuations in a Corbino geometry: The amplitude of the magnetoconductance oscillations has an e^2/h resonance in the transition region, signaling a change in the topological quantum number of the insulating bulk. This resonance provides a signed scaling variable for the critical exponent of the phase transition (distinct from existing positive definite scaling variables).", "revisions": [ { "version": "v2", "updated": "2011-10-20T08:11:10.000Z" } ], "analyses": { "subjects": [ "73.43.Nq", "73.23.-b", "73.40.Kp", "73.43.Qt" ], "keywords": [ "quantum hall plateau transition", "topological quantum number", "critical exponent", "conductance fluctuations", "positive definite scaling variables" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2011, "month": "Dec", "volume": 84, "number": 24, "pages": 245447 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvB..84x5447F" } } }