RT Journal Article T1 Localisation and finite-size effects in graphene flakes A1 González-Santander de la Cruz, Clara A1 Domínguez-Adame Acosta, Francisco A1 Hilke, M. A1 Roemer, R. A. AB We show that electron states in disordered graphene, with an onsite potential that induces inter-valley scattering, are localised for all energies at disorder as small as 1/6 of the band width of clean graphene. We clarify that, in order for this Anderson-type localisation to be manifested, graphene flakes of size approximate to 200 x 200 nm(2) or larger are needed. For smaller samples, due to the surprisingly large extent of the electronic wave functions, a regime of apparently extended (or even critical) states is identified. Our results complement earlier studies of macroscopically large samples and can explain the divergence of results for finite-size graphene flakes. 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