Density inhomogeneity driven percolation metal-insulator transition and dimensional crossover in graphene nanoribbons

Abstract

Transport in graphene nanoribbons with an energy gap in the spectrum is considered in the presence of random charged impurity centers. At low carrier density, we predict and establish that the system exhibits a density inhomogeneity driven two dimensional metal-insulator transition that is in the percolation universality class. For very narrow graphene nanoribbons (with widths smaller than the disorder induced length-scale), we predict that there should be a dimensional crossover to the 1D percolation universality class with observable signatures in the transport gap. In addition, there should be a crossover to the Boltzmann transport regime at high carrier densities. The measured conductivity exponent and the critical density are consistent with this percolation transition scenario.

Revised version published in Phys. Rev. Lett. 101, 046404 (2008)

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• Localization and Kosterlitz-Thouless Transition in Disordered Graphene
• Transport and elastic scattering times as probes of the nature of impurity scattering in single and bilayer graphene
• Theory of charged impurity scattering in two dimensional graphene
• Crossover from quantum to Boltzmann transport in graphene
• Effective medium theory for disordered two-dimensional graphene
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• Peierls-type Instability and Tunable Band Gap in Functionalized Graphene
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• Graphene nanoribbons with wings
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• Graphene Nanoribbon in Sharply Localized Magnetic Fields