Localisation and finite-size effects in graphene flakes

Autor: González-Santander, C., Domínguez-Adame, F., Hilke, M., Römer, R. A.
Rok vydání: 2013
Předmět:
Zdroj: EPL 104, 17012 (2013)
Druh dokumentu: Working Paper
DOI: 10.1209/0295-5075/104/17012
Popis: 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.
Databáze: arXiv