By using a curved-space approach, the scattering amplitude and total cross-section for quantum scattering by disclinations in a graphite sheet were obtained explicitly. It had been found that n-membered rings, where n was greater than 6, had an attractive effect upon charged point particles; thus leading to quantum bound states or localization. The combined results permitted a complete analysis of the dynamics of a quantum particle which was embedded in a graphite sheet with a disclination. The overall results implied that there might be electron or hole states that were bound to disclinations that corresponded to more than six C atoms, and that the scattering states were well-characterized by their scattering amplitudes.
Two-Dimensional Scattering by Disclinations in Monolayer Graphite. S.Azevedo, F.Moraes: Journal of Physics - Condensed Matter, 2000, 12[33], 7421-4