Abstract

A two-band model that includes edge interactions is derived for hydrogen-terminated, armchair-edge graphene nanoribbons. This model is then used to obtain analytical expressions for the localization length of these ribbons in the presence of environmental and topological edge disorder. Within the single-channel regime, it is found that the maximum localization length of a ribbon with uncorrelated edge disorder is proportional to the square of its width. Also shown is the dependence of the localization length on quasiparticle energy and band gap. The analytical expressions have been verified by numerical transport calculations that take all $\ensuremath{\pi}$ channels into account.

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