{ "id": "cond-mat/0011201", "version": "v1", "published": "2000-11-12T23:24:07.000Z", "updated": "2000-11-12T23:24:07.000Z", "title": "Josephson Coupling through a Quantum Dot", "authors": [ "A. V. Rozhkov", "D. P. Arovas", "F. Guinea" ], "comment": "9 pages; 3 encapsulated PostScript figures", "doi": "10.1103/PhysRevB.64.233301", "categories": [ "cond-mat.mes-hall", "cond-mat.supr-con" ], "abstract": "We derive, via fourth order perturbation theory, an expression for the Josephson current through a gated interacting quantum dot. We analyze our expression for two different models of the superconductor-dot-superconductor (SDS) system. When the matrix elements connecting dot and leads are featureless constants, we compute the Josephson coupling J_c as a function of the gate voltage and Coulomb interaction. In the diffusive dot limit, we compute the probability distribution P(J_c) of Josephson couplings. In both cases, pi junction behavior (J_c < 0) is possible, and is not simply dependent on the parity of the dot occupancy.", "revisions": [ { "version": "v1", "updated": "2000-11-12T23:24:07.000Z" } ], "analyses": { "keywords": [ "josephson coupling", "fourth order perturbation theory", "matrix elements connecting dot", "pi junction behavior", "expression" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }