Conductance quantization in graphene nanoribbons: Adiabatic approximation
Mesoscale and Nanoscale Physics
2011-11-09 v2 Materials Science
Abstract
A theory of electron states for graphene nanoribbons with a smoothly varying width is developed. It is demonstrated that the standard adiabatic approximation allowing to neglect the mixing of different standing waves is more restrictive for the massless Dirac fermions in graphene than for the conventional electron gas. For the case of zigzag boundary conditions, one can expect a well-pronounced conductance quantization only for highly excited states. This difference is related to the relativistic Zitterbewegung effect in graphene.
Cite
@article{arxiv.cond-mat/0703190,
title = {Conductance quantization in graphene nanoribbons: Adiabatic approximation},
author = {M. I. Katsnelson},
journal= {arXiv preprint arXiv:cond-mat/0703190},
year = {2011}
}
Comments
final version (European Physical Journal B, Rapid Notes, accepted)