{ "id": "cond-mat/9712054", "version": "v1", "published": "1997-12-04T12:40:50.000Z", "updated": "1997-12-04T12:40:50.000Z", "title": "Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states", "authors": [ "A. Furusaki" ], "comment": "RevTex, 9 pages including 4 figures", "journal": "Phys. Rev. B 57 (1998) 7141", "doi": "10.1103/PhysRevB.57.7141", "categories": [ "cond-mat.mes-hall" ], "abstract": "Resonant tunneling through a quantum dot weakly coupled to Tomonaga-Luttinger liquids is discussed. The linear conductance due to sequential tunneling is calculated by solving a master equation for temperatures below and above the average level spacing in the dot. When the parameter g characterizing the Tomonaga-Luttinger liquid is smaller than 1/2, the resonant tunneling process is incoherent down to zero temperature. At low temperature T the height and width of the conductance peaks in the Coulomb blockade oscillations are proportional to T^{(1/g)-2} and T, respectively. The contribution from tunneling via a virtual intermediate state (cotunneling) is also included. The resulting conductance formula can be applied for the resonant tunneling between edge states of fractional quantum Hall liquids with filling factor nu=1/(2m+1)=g.", "revisions": [ { "version": "v1", "updated": "1997-12-04T12:40:50.000Z" } ], "analyses": { "keywords": [ "quantum dot", "quantum hall edge states", "resonant tunneling", "quantum wires", "fractional quantum hall liquids" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "RevTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }