Norbert Nemec et al 2008 New J. Phys. 10 065014 doi:10.1088/1367-2630/10/6/065014
Diffusion and localization in carbon nanotubes and graphene nanoribbons
Focus on Molecular ElectronicsNorbert Nemec1,2, Klaus Richter1 and Gianaurelio Cuniberti1,3,4
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We study transport length scales in carbon nanotubes and graphene ribbons under the influence of Anderson disorder. We present generalized analytical expressions for the density of states, the elastic mean free path and the localization length in arbitrarily structured quantum wires. These allow us to analyze the electrical response over the full energy range, including the regions around van Hove singularities, traditionally difficult to access by alternative approaches. Comparing with the results of numerical simulations, we demonstrate that both the diffusive and the localized regime are well represented by the analytical approximations over a wide range of the energy spectrum. The approach works well for both metallic and semiconducting nanotubes and nanoribbons but breaks down near the edge states of zigzag ribbons.
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Issue 6 (June 2008)
Received 22 February 2008
Published 30 June 2008
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Diffusion and localization in carbon nanotubes and graphene nanoribbons
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