{ "id": "1012.0407", "version": "v1", "published": "2010-12-02T13:19:12.000Z", "updated": "2010-12-02T13:19:12.000Z", "title": "Anomalous Josephson current via Majorana bound states in topological insulators", "authors": [ "P. A. Ioselevich", "M. V. Feigel'man" ], "comment": "7 pages, 3 figures", "journal": "Phys. Rev. Lett. 106, 077003 (2011)", "doi": "10.1103/PhysRevLett.106.077003", "categories": [ "cond-mat.mes-hall" ], "abstract": "We propose a setup involving Majorana bound states (MBS) hosted by a vortex on a superconducting surface of a 3D Topological Insulator (TI). We consider a narrow channel drilled across a TI slab with both sides covered by s-wave superconductor. In the presence of a vortex pinned to such a channel, it acts as a ballistic nanowire connecting the superconducting surfaces, with a pair of MBS localized in it. The energies of the MBS possess a 4\\pi-periodic dependence on the superconductive phase difference \\phi between the surfaces. It results in the appearence of an anomalous term in the current-phase relation, I_a(\\phi) for the supercurrent flowing along the channel between the superconductive surfaces. We have calculated the shape of the 4\\pi-periodic function I_a(\\phi), as well as the dependence of its amplitude on temperature and system parameters.", "revisions": [ { "version": "v1", "updated": "2010-12-02T13:19:12.000Z" } ], "analyses": { "subjects": [ "74.45.+c", "71.10.Pm", "74.90.+n" ], "keywords": [ "majorana bound states", "anomalous josephson current", "topological insulator", "superconducting surface", "narrow channel" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2011, "month": "Feb", "volume": 106, "number": 7, "pages": "077003" }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvL.106g7003I" } } }