{ "id": "cond-mat/0112426", "version": "v1", "published": "2001-12-22T08:54:08.000Z", "updated": "2001-12-22T08:54:08.000Z", "title": "Occupation of a resonant level coupled to a chiral Luttinger liquid", "authors": [ "A. Furusaki", "K. A. Matveev" ], "comment": "5 pages including 1 figure", "journal": "Phys. Rev. Lett. 88, 226404 (2002)", "doi": "10.1103/PhysRevLett.88.226404", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We consider a resonant level coupled to a chiral Luttinger liquid which can be realized, e.g., at a fractional quantum Hall edge. We study the dependence of the occupation probability n of the level on its energy \\epsilon for various values of the Luttinger-liquid parameter g. At g<1/2 a weakly coupled level shows a sharp jump in n(\\epsilon) at the Fermi level. As the coupling is increased, the magnitude of the jump decreases until \\sqrt{2g}, and then the discontinuity in n(\\epsilon) disappears. We show that n(\\epsilon) can be expressed in terms of the magnetization of a Kondo impurity as a function of magnetic field.", "revisions": [ { "version": "v1", "updated": "2001-12-22T08:54:08.000Z" } ], "analyses": { "keywords": [ "chiral luttinger liquid", "resonant level", "fractional quantum hall edge", "sharp jump", "occupation probability" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }