American Physical Society, Physical Review B (Condensed Matter), 3(66)
DOI: 10.1103/physrevb.66.035412
Full text: Unavailable
We investigate the tight-binding approximation for the dispersion of the π and π* electronic bands in graphene and carbon nanotubes. The nearest-neighbor tight-binding approximation with a fixed γ0 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.