Theory of 2D transport in graphene for correlated disorder

Abstract

We theoretically revisit graphene transport properties as a function of carrier density, taking into account possible correlations in the spatial distribution of the Coulomb impurity disorder in the environment. We find that the charged impurity correlations give rise to a density dependent graphene conductivity, which agrees well qualitatively with the existing experimental data. We also find, quite unexpectedly, that the conductivity could increase with increasing impurity density if there is sufficient inter-impurity correlation present in the system. In particular, the linearity (sublinearity) of graphene conductivity at lower (higher) gate voltage is naturally explained as arising solely from impurity correlation effects in the Coulomb disorder.

5 pages, 3 figures

References in corpus (18)

• Two Dimensional Atomic Crystals
• Ultrahigh electron mobility in suspended graphene
• Detection of Individual Gas Molecules Absorbed on Graphene
• Boron nitride substrates for high-quality graphene electronics
• Dielectric function, screening, and plasmons in 2D graphene
• Charged Impurity Scattering in Graphene
• Carrier transport in 2D graphene layers
• A self-consistent theory for graphene transport
• Measurement of Scattering Rate and Minimum Conductivity in Graphene
• Controlling electron-phonon interactions in graphene at ultra high carrier densities
• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Quantum transport of massless Dirac fermions in graphene
• Electron scattering on microscopic corrugations in graphene
• Resonant scattering by realistic impurities in graphene
• Ground-state of graphene in the presence of random charged impurities
• Effective medium theory for disordered two-dimensional graphene
• Models of electron transport in single layer graphene
• Conductivity of graphene on boron nitride substrates

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• Ground state of graphene heterostructures in the presence of random charged impurities
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• Phase Structure and Machine Learning Identification in One Dimensional Systems with Power Law Correlated Disorder and Long Range Hopping
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