2007/11/30 by Caio Lewenkopf, Caio H. Lewenkopf, Eduardo R. Mucciolo +2 · 135 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Conductivity #Density of states #Fano factor #Graphene #Graphene research and applications #Materials science #Mathematics #Nanotechnology #Optics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Scaling #Shot noise #Surface and Thin Film Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.77.081410
published in Physical Review B 77(8) (American Physical Society) · 4 pages, 5 figures
arxiv created 2008/02/04 · openalex publication_date 2008/02/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using the recursive Green's function method, we study the problem of electron transport in a disordered single-layer graphene sheet. The conductivity is of order e2∕h and its dependence on the carrier density has a scaling form that is controlled solely by the disorder strength and the ratio between the sample size and the correlation length of the disorder potential. The shot noise Fano factor is shown to be nearly density independent for sufficiently strong disorder, with a narrow structure appearing at the neutrality point only for weakly disordered samples. Our results are in good agreement with experiments and provide a way for extracting microscopic information about the magnitude of extrinsic disorder in graphene.