Transport length scales in carbon nanotubes and graphene ribbons under the influence of Anderson disorder were studied. Generalized analytical expressions were presented for the density of states, the elastic mean free path and the localization length in arbitrarily structured quantum wires. These permitted analysis of the electrical response over the full energy range, including the regions around van Hove singularities, which were traditionally difficult to access by alternative approaches. Comparing with the results of numerical simulations, it was demonstrated that both the diffusive and the localized regime were well represented by the analytical approximations over a wide range of the energy spectrum. The approach worked well for both metallic and semiconducting nanotubes and nanoribbons but broke down near to the edge states of zig-zag ribbons.

Diffusion and Localization in Carbon Nanotubes and Graphene Nanoribbons. Nemec, N., Richter, K., Cuniberti, G.: New Journal of Physics, 2008, 10, 065014