| Issue |
EPL
Volume 104, Number 1, October 2013
|
|
|---|---|---|
| Article Number | 17012 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/104/17012 | |
| 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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.