The European Physical Journal B

, Volume 57, Issue 3, pp 225–228

Conductance quantization in graphene nanoribbons: adiabatic approximation

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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


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.


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

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Authors and Affiliations

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