# 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} }

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

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