Conductance quantization in graphene nanoribbons: Adiabatic approximation

Details Conductance quantization in graphene nanoribbons: Adiabatic approximation Conductance quantization in graphene nanoribbons: Adiabatic approximation

2007-03-07

arxiv.org/abs/cond-mat/0703190v2

Eur. Phys. J. B 57, 225-228 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

final version (European Physical Journal B, Rapid Notes, accepted)

Scientific paper

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.

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