The European Physical Journal B

, Volume 57, Issue 3, pp 225–228

Conductance quantization in graphene nanoribbons: adiabatic approximation

Open AccessRapid Note

DOI: 10.1140/epjb/e2007-00168-5

Cite this article as:
Katsnelson, M. Eur. Phys. J. B (2007) 57: 225. doi:10.1140/epjb/e2007-00168-5

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.

PACS.

73.43.Cd Theory and modeling81.05.Uw Carbon, diamond, graphite03.65.Pm Relativistic wave equations
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© The Author(s) 2007

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  1. 1.Institute for Molecules and Materials, Radboud University NijmegenNijmegenThe Netherlands