{ "id": "1007.4271", "version": "v2", "published": "2010-07-24T15:28:24.000Z", "updated": "2010-10-26T14:38:50.000Z", "title": "Current noise in molecular junctions: effects of the electron-phonon interaction", "authors": [ "Federica Haupt", "Tomas Novotny", "Wolfgang Belzig" ], "comment": "14 pages, 8 figures. The paper is supplemented by a Mathematica notebook with the full expressions for the lowest order corrections to the current and noise due to electron-phonon coupling. This notebook is part of the associated .tar.gz bundle", "journal": "Phys. Rev. B 82, 165441 (2010)", "doi": "10.1103/PhysRevB.82.165441", "categories": [ "cond-mat.mes-hall" ], "abstract": "We study inelastic effects on the electronic current noise in molecular junctions, due to the coupling between transport electrons and vibrational degrees of freedom. Using a full counting statistics approach based on the generalized Keldysh Green's function technique, we calculate in an unified manner both the mean current and the zero-frequency current noise. For multilevel junctions with weak electron-phonon coupling, we give analytical formulas for the lowest order inelastic corrections to the noise in terms of universal temperature- and voltage-dependent functions and junction-dependent prefactors, which can be evaluated microscopically, e.g. with ab-initio methodologies. We identify distinct terms corresponding to the mean-field contribution to noise and to the vertex corrections, and we show that the latter contribute substantially to the inelastic noise. Finally, we illustrate our results by a simple model of two electronic levels which are mutually coupled by the electron-phonon interaction and show that the inelastic noise spectroscopy is a sensitive diagnostic tool.", "revisions": [ { "version": "v2", "updated": "2010-10-26T14:38:50.000Z" } ], "analyses": { "subjects": [ "72.70.+m", "72.10.Di", "85.65.+h", "73.63.-b" ], "keywords": [ "molecular junctions", "electron-phonon interaction", "inelastic noise", "lowest order inelastic corrections", "generalized keldysh greens function technique" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2010, "month": "Oct", "volume": 82, "number": 16, "pages": 165441 }, "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvB..82p5441H" } } }