{ "id": "1304.3472", "version": "v1", "published": "2013-04-11T20:10:24.000Z", "updated": "2013-04-11T20:10:24.000Z", "title": "Effect of charged line defects on conductivity in graphene: numerical Kubo and analytical Boltzmann approaches", "authors": [ "T. M. Radchenko", "A. A. Shylau", "I. V. Zozoulenko", "A. Ferreira" ], "comment": "15 pages, 9 figures", "journal": "Phys. Rev. B 87, 195448 (2013)", "doi": "10.1103/PhysRevB.87.195448", "categories": [ "cond-mat.mes-hall" ], "abstract": "Charge carrier transport in single-layer graphene with one-dimensional charged defects is studied theoretically. Extended charged defects, considered an important factor for mobility degradation in chemically-vapor-deposited graphene, are described by a self-consistent Thomas-Fermi potential. A numerical study of electronic transport is performed by means of a time-dependent real-space Kubo approach in honeycomb lattices containing millions of carbon atoms, capturing the linear response of realistic size systems in the highly disordered regime. Our numerical calculations are complemented with a kinetic transport theory describing charge transport in the weak scattering limit. The semiclassical transport lifetimes are obtained by computing scattered amplitudes within the second Born approximation. The transport electron-hole asymmetry found in the semiclassical approach is consistent with the Kubo calculations. In the strong scattering regime, the conductivity is found to be a sublinear function of electronic density and weakly dependent on the Thomas-Fermi screening wavelength. We attribute this atypical behavior to the extended nature of one-dimensional charged defects. Our results are consistent with recent experimental reports.", "revisions": [ { "version": "v1", "updated": "2013-04-11T20:10:24.000Z" } ], "analyses": { "subjects": [ "81.05.ue", "72.80.Vp", "72.10.Fk" ], "keywords": [ "analytical boltzmann approaches", "charged line defects", "numerical kubo", "conductivity", "one-dimensional charged defects" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2013, "month": "May", "volume": 87, "number": 19, "pages": 195448 }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvB..87s5448R" } } }