Boundary conditions for Dirac fermions on a terminated honeycomb lattice

@article{Akhmerov2008BoundaryCF,
  title={Boundary conditions for Dirac fermions on a terminated honeycomb lattice},
  author={Anton Akhmerov and C. W. J. Beenakker},
  journal={Physical Review B},
  year={2008},
  volume={77},
  pages={085423}
}
  • Anton Akhmerov, C. W. J. Beenakker
  • Published 2008
  • Physics
  • Physical Review B
  • We derive the boundary condition for the Dirac equation corresponding to a tight-binding model on a two-dimensional honeycomb lattice terminated along an arbitrary direction. Zigzag boundary conditions result generically once the boundary is not parallel to the bonds. Since a honeycomb strip with zigzag edges is gapless, this implies that confinement by lattice termination does not, in general, produce an insulating nanoribbon. We consider the opening of a gap in a graphene nanoribbon by a… CONTINUE READING

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 126 CITATIONS

    FILTER CITATIONS BY YEAR

    2009
    2020

    CITATION STATISTICS

    • 12 Highly Influenced Citations

    • Averaged 22 Citations per year from 2018 through 2020