Localisation and finite-size effects in graphene flakes
Mesoscale and Nanoscale Physics
2013-11-08 v1
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.
Keywords
Cite
@article{arxiv.1308.5727,
title = {Localisation and finite-size effects in graphene flakes},
author = {C. González-Santander and F. Domínguez-Adame and M. Hilke and R. A. Römer},
journal= {arXiv preprint arXiv:1308.5727},
year = {2013}
}