{ "id": "1012.5867", "version": "v2", "published": "2010-12-29T04:02:07.000Z", "updated": "2011-08-18T01:30:13.000Z", "title": "Tunneling between edge states of a 2D topological insulator and a Fermi liquid lead through a quantum dot", "authors": [ "Chien Yeah Seng", "Tai-Kai Ng" ], "comment": "10 pages, 3 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "In this paper we study a non-equilibrium resonant tunnelling problem where a non-interacting quantum dot is connected to two leads, one being the edge of an interacting 2-D topological insulator (Luttinger liquid) and the other being a usual Fermi liquid. We show that the current passing through the system can be expressed in terms of a non-equilibrium local single-particle Green's function of the Luttinger liquid lead which can be analysed using standard bosonization- Renormalization Group (RG) technique. In particular, some exact results can be extracted in the small bias limit with repulsive electron-electron interaction. A simple formula which captures the qualitative feature of the I-V relation over whole temperature and voltage bias range is being proposed and studied.", "revisions": [ { "version": "v2", "updated": "2011-08-18T01:30:13.000Z" } ], "analyses": { "keywords": [ "2d topological insulator", "quantum dot", "edge states", "non-equilibrium local single-particle greens function", "luttinger liquid" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1012.5867Y" } } }