Robustness of edge states in graphene quantum dots

@article{Wimmer2010RobustnessOE,
  title={Robustness of edge states in graphene quantum dots},
  author={M. Wimmer and A. Akhmerov and F. Guinea},
  journal={Physical Review B},
  year={2010},
  volume={82},
  pages={045409}
}
  • M. Wimmer, A. Akhmerov, F. Guinea
  • Published 2010
  • Physics
  • Physical Review B
  • We analyze the single particle states at the edges of disordered graphene quantum dots. We show that generic graphene quantum dots support a number of edge states proportional to circumference of the dot over the lattice constant. Our analytical theory agrees well with numerical simulations. Perturbations breaking electron-hole symmetry like next-nearest neighbor hopping or edge impurities shift the edge states away from zero energy but do not change their total amount. We discuss the… CONTINUE READING
    95 Citations

    Figures from this paper

    Magnetism of graphene quantum dots
    • 27
    • PDF
    Transport through graphene quantum dots.
    • 104
    Electronic states of graphene nanoribbons and analytical solutions
    • 213

    References

    SHOWING 1-10 OF 74 REFERENCES