Coherent transport through graphene nanoribbons in the presence of edge disorder

We simulate electron transport through graphene nanoribbons of experimentally realizable size (length L up to 2µm, width W ≈ 40nm) in the presence of scattering at rough edges. Our numer-ical approach is based on a modular recursive Green’s function technique that features sub-linear scaling of the computational effort with L. We investigate backscattering at edge defects: Fourier spectroscopy of individual scattering states allows us to disentangle inter-valley and intra-valley scat-tering. We observe Anderson localization with a well-defined exponential decay over 10 orders of magnitude in amplitude. We determine the corresponding localization length for different strength and shape of edge roughness.