Abstract
We investigate the tight-binding approximation for the dispersion of the and electronic bands in graphene and carbon nanotubes. The nearest-neighbor tight-binding approximation with a fixed applies only to a very limited range of wave vectors. We derive an analytic expression for the tight-binding dispersion including up to third-nearest neighbors. Interaction with more distant neighbors qualitatively improves the tight-binding picture, as we show for graphene and three selected carbon nanotubes.
- Received 22 April 2002
DOI:https://doi.org/10.1103/PhysRevB.66.035412
©2002 American Physical Society