Tuning of graphene nanoribbon Landau levels by a nanotube.

@article{Li2009TuningOG,
  title={Tuning of graphene nanoribbon Landau levels by a nanotube.},
  author={T. S. Li and M. F. Lin and S. C. Chang},
  journal={Journal of physics. Condensed matter : an Institute of Physics journal},
  year={2009},
  volume={21 43},
  pages={
          435302
        }
}
  • T. Li, M. Lin, S. Chang
  • Published 28 October 2009
  • Physics
  • Journal of physics. Condensed matter : an Institute of Physics journal
We investigate theoretically the effects of a nanotube on the graphene nanoribbon Landau level spectrum utilizing the tight-binding model. The addition of a nanotube changes the original dispersionless Landau subbands into distorted parabolic ones, creates additional band-edge states, and modifies the subband spacings. Moreover, the dispersion relations rely sensitively on the nanotube location. The nanotube-ribbon couplings disrupt the Landau wavefunctions and lift their spatial symmetry… 
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Electronic and optical properties of graphene nanoribbons in external fields.
TLDR
The predicted results, the parabolic sub bands, edge-localized states, gap opening and modulation, and spatial distribution of Landau subbands, have been identified by various experimental measurements.

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