{ "id": "1708.02770", "version": "v1", "published": "2017-08-09T09:29:09.000Z", "updated": "2017-08-09T09:29:09.000Z", "title": "Electron-electron scattering and conductivity of long multimode channels", "authors": [ "K. E. Nagaev" ], "comment": "8 pages, 4 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "The electron-electron scattering increases the resistance of ballistic multimode channels whose width is smaller than their length. We show that this increase saturates in the limit of infinitely long channels. Because the mechanisms of angular relaxation of electrons in three and two dimensions are different, the saturation value of the correction to the resistance is temperature-independent in the case of three-dimensional channels and is proportional to the temperature for two-dimensional ones.", "revisions": [ { "version": "v1", "updated": "2017-08-09T09:29:09.000Z" } ], "analyses": { "keywords": [ "long multimode channels", "conductivity", "ballistic multimode channels", "electron-electron scattering increases", "increase saturates" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }