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We report on a numerical study of quantum transport in disordered twodimensional graphene and graphene nanoribbons. By using the Kubo and theLandauer approaches, transport length scales in the diffusive (mean free path,charge mobilities) and localized regimes (localization lengths) are computed,assuming a short range disorder (Anderson-type). In agreement with localizationscaling theory, the electronic systems are found to undergo a conventionalAnderson localization in the zero temperature limit. Localization lengths inweakly disordered ribbons are found to differ by two orders of magnitudedepending on their edge symmetry, but always remain several orders of magnitudesmaller than those computed for 2D graphene for the same disorder strength.This pinpoints the role of transport dimensionality and edge effects.

Transport Length Scales in Disordered Graphene-based Materials: Strong Localization Regimes and Dimensionality Effects