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Conductance quantization in graphene nanoribbons: adiabatic approximation

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  • M. I. Katsnelson

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • M. I. Katsnelson, 2007. "Conductance quantization in graphene nanoribbons: adiabatic approximation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(3), pages 225-228, June.
    • Handle: RePEc:spr:eurphb:v:57:y:2007:i:3:p:225-228
    DOI: 10.1140/epjb/e2007-00168-5
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