Localisation and finite-size effects in graphene flakes

Abstract

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 of approximately 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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Cited by in corpus (4)

• Anderson localization in two-dimensional graphene with short-range disorder: One-parameter scaling and finite-size effects
• Effects of disorder and contacts on transport through graphene nanoribbons
• Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements
• Spin-polarized localization in a magnetized chain