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}
}
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… Expand
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