A self-consistent theory for graphene transport

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dc.creatorAdam, Shaffique
dc.creatorHwang, E. H.
dc.creatorGalitski, Victor
dc.creatorSarma, S. Das
dc.date2007-05-10
dc.date2007-10-09
dc.date.accessioned2026-07-07T08:53:57Z
dc.date.available2026-07-07T08:53:57Z
dc.descriptionWe demonstrate theoretically that most of the observed transport properties of graphene sheets at zero magnetic field can be explained by scattering from charged impurities. We find that, contrary to common perception, these properties are not universal but depend on the concentration of charged impurities $n_{\rm imp}$. For dirty samples ($250 \times 10^{10} {\rm cm}^{-2} < n_{\rm imp} < 400 \times 10^{10} {\rm cm}^{-2}$), the value of the minimum conductivity at low carrier density is indeed $4 e^2/h$ in agreement with early experiments, with weak dependence on impurity concentration. For cleaner samples, we predict that the minimum conductivity depends strongly on $n_{\rm imp}$, increasing to $8 e^2/h$ for $n_{\rm imp} \sim 20 \times 10^{10}{\rm cm}^{-2}$. A clear strategy to improve graphene mobility is to eliminate charged impurities or use a substrate with a larger dielectric constant.
dc.descriptionTo be published in Proc. Natl. Acad. Sci. USA
dc.identifierhttps://arxiv.org/abs/0705.1540
dc.identifierhttp://arxiv.org/abs/0705.1540
dc.identifierProc. Natl. Acad. Sci. USA 104, 18392 (2007)
dc.identifierdoi:10.1073/pnas.0704772104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145761
dc.subjectMesoscale and Nanoscale Physics
dc.titleA self-consistent theory for graphene transport
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