Spectrum of pi electrons in bilayer graphene nanoribbons and nanotubes: an analytical approach

Details Spectrum of pi electrons in bilayer graphene nanoribbons and nanotubes: an analytical approach Spectrum of pi electrons in bilayer graphene nanoribbons and nanotubes: an analytical approach

2010-10-08

arxiv.org/abs/1010.1673v2

Phys. Rev. B 83, 035403 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 figures

Scientific paper

10.1103/PhysRevB.83.035403

We present an analytical description of pi electrons of a finite size bilayer graphene within a framework of the tight-binding model. The bilayered structures considered here are characterized by a rectangular geometry and have a finite size in one or both directions with armchair- and zigzag-shaped edges. We provide an exact analytical description of the spectrum of pi electrons in the zigzag and armchair bilayer graphene nanoribbons and nanotubes. We analyze the dispersion relations, the density of states, and the conductance quantization.

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