2000/04/20 by M. Damnjanovic, M. Damnjanović, T. Vukovic +3
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Graphene research and applications #Topological Materials and Phenomena #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.1016/s0038-1098(00)00319-7
published as Solid State Communications 116 (2000) 265-7 · 6 pages, 2 figures
arxiv created 2000/04/20 · openalex publication_date 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
For the single-wall carbon nanotubes conducting in the simplest tight binding model, the complete set of line group symmetry based quantum numbers for the bands crossing at Fermi level are given. Besides linear (k), helical (k' and angular momenta, emerging from roto-translational symmetries, the parities of U axis and (in the zig-zag and armchair cases only) mirror planes appear in the assignation. The helical and angular momentum quantum numbers of the crossing bands never vanishes, what supports proposed chirality of currents. Except for the armchair tubes, the crossing bands have the same quantum numbers and, according to the non-crossing rule, a secondary gap arises, as it is shown by the accurate tight-binding calculation. In the armchair case the different vertical mirror parity of the crossing bands provides substantial conductivity, though kF is slightly decreased.