Volume 104, Number 1, October 2013
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||15 November 2013|
Localisation and finite-size effects in graphene flakes
1 GISC, Departamento de Física de Materiales, Universidad Complutense - E-28040 Madrid, Spain
2 Department of Physics, McGill University, Montréal (Québec) - H3A 2T8, Canada
3 Department of Physics and Centre for Scientific Computing, University of Warwick - Coventry, CV4 7AL, UK
Received: 22 July 2013
Accepted: 14 October 2013
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 of the band width of clean graphene. We clarify that, in order for this Anderson-type localisation to be manifested, graphene flakes of size 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.
PACS: 73.22.Pr – Electronic structure of graphene / 73.20.Fz – Weak or Anderson localization
© EPLA, 2013
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