{ "id": "0812.1577", "version": "v1", "published": "2008-12-08T21:45:43.000Z", "updated": "2008-12-08T21:45:43.000Z", "title": "Model for the magnetoresistance and Hall coefficient of inhomogeneous graphene", "authors": [ "Rakesh P. Tiwari", "D. Stroud" ], "comment": "5 pages, 4 figures", "journal": "PhysRevB.79.165408 (2009)", "doi": "10.1103/PhysRevB.79.165408", "categories": [ "cond-mat.mes-hall" ], "abstract": "We show that when bulk graphene breaks into n-type and p-type puddles, the in-plane resistivity becomes strongly field dependent in the presence of a perpendicular magnetic field, even if homoge- neous graphene has a field-independent resistivity. We calculate the longitudinal resistivity \\rho_{xx} and Hall resistivity \\rho_{xy} as a function of field for this system, using the effective-medium approximation. The conductivity tensors of the individual puddles are calculated using a Boltzmann approach suit- able for the band structure of graphene near the Dirac points. The resulting resistivity agrees well with experiment, provided that the relaxation time is weakly field-dependent. The calculated Hall resistivity has the sign of the majority carrier and vanishes when there are equal number of n and p type puddles.", "revisions": [ { "version": "v1", "updated": "2008-12-08T21:45:43.000Z" } ], "analyses": { "subjects": [ "72.20.My", "75.47.-m", "73.50.Jt", "72.80.Ng" ], "keywords": [ "hall coefficient", "inhomogeneous graphene", "magnetoresistance", "perpendicular magnetic field", "bulk graphene breaks" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2009, "month": "Apr", "volume": 79, "number": 16, "pages": 165408 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvB..79p5408T" } } }