{ "id": "1007.1316", "version": "v1", "published": "2010-07-08T09:02:19.000Z", "updated": "2010-07-08T09:02:19.000Z", "title": "The Effect of Interactions on the Conductance of Graphene Nanoribbons", "authors": [ "M. Bazzanella", "P. Faccioli", "E. Lipparini" ], "comment": "9 pages, 1 figure", "doi": "10.1103/PhysRevB.82.205422", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We study the effects of the interaction between electrons and holes on the conductance G of quasi-one-dimensional graphene systems. We first consider as a benchmark the limit in which all interactions are negligible, recovering the predictions of the tight-binding approximation for the spectrum of the system, and the well-known result G=4 e^2/h for the lowest conductance quantum. Then we consider an exactly solvable field theoretical model in which the electro-magnetic interactions are effectively local. Finally, we use the effective field theory formalism to develop an exactly solvable model in which we also include the effect of non-local interactions. We find that such interactions turn the nominally metallic armchair graphene nanoribbon into a semi-conductor, while the short-range interactions lead to a correction to the G=4 e^2/h formula.", "revisions": [ { "version": "v1", "updated": "2010-07-08T09:02:19.000Z" } ], "analyses": { "subjects": [ "73.23.-b", "11.10.-z", "73.21.Hb" ], "keywords": [ "interaction", "solvable field theoretical model", "nominally metallic armchair graphene nanoribbon", "effective field theory formalism", "quasi-one-dimensional graphene systems" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2010, "month": "Nov", "volume": 82, "number": 20, "pages": 205422 }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 860750, "adsabs": "2010PhRvB..82t5422B" } } }