Band theory and electronic structures of carbon nanotubes

A band structure model for carbon nanotubes taking into account the deformation potential characterizing the conformal mapping of graphene to tubules is presented and overlap is introduced in the pi band calculations. This model corresponds to the study of a one-dimensional (1D) system and is not simply the limit of a 2D system becoming quasi-1D. While development is explicitly made for the zigzag tubules, the method itself can also be applied to the armchair and chiral configurations by modifying the structure factor and boundary conditions. (C) 1997 Elsevier Science S.A.