{ "id": "1101.3723", "version": "v1", "published": "2011-01-19T16:20:59.000Z", "updated": "2011-01-19T16:20:59.000Z", "title": "Capacitance of a resonant level coupled to Luttinger liquids", "authors": [ "Moshe Goldstein", "Richard Berkovits" ], "comment": "4+ pages, 2 figures", "journal": "Phys. Rev. B 82 161307(R) (2010)", "doi": "10.1103/PhysRevB.82.161307", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "In this paper we study the differential capacitance of a single-level quantum dot attached to quantum wires in the Luttinger liquid phase, or to fractional quantum Hall edges, by both tunneling and interactions. We show that logarithmic or even power-law divergence of the capacitance at low temperatures may result in a substantial region of the parameter space (including the $\\nu=1/3$ filling). This behavior is a manifestation of generalized two channel Kondo physics, and can be used to extract Luttinger liquid parameters from thermodynamic measurements.", "revisions": [ { "version": "v1", "updated": "2011-01-19T16:20:59.000Z" } ], "analyses": { "subjects": [ "73.21.Hb", "73.21.La", "73.43.Jn", "71.10.Pm" ], "keywords": [ "resonant level", "extract luttinger liquid parameters", "fractional quantum hall edges", "luttinger liquid phase", "single-level quantum dot" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2010, "month": "Oct", "volume": 82, "number": 16, "pages": 161307 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvB..82p1307G" } } }