1999/02/17 by Milan Damnjanović, M. Damnjanovic, I. Milošević +5 · 4 citations
Chemistry · Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Fullerene Chemistry and Applications #Graphene research and applications #cond-mat.mes-hall #cond-mat.soft
paper · pdf · doi:10.1103/physrevb.60.2728
published as Phys. Rev. B 60 (1999) 2728-2739 · 9 pages, 2 figures, revtex
arxiv created 1999/02/17 · openalex publication_date 1999/07/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The full symmetry groups for all single-wall and multiwall carbon nanotubes are found. As for the single-wall tubes, the symmetries form non-Abelian nonsymorphic line groups, enlarging the groups reported in the literature. In the multiwall case, any type of line and axial point groups can be obtained, depending on single-wall constituents and their relative position. The isogonal symmetry is related to the macroscopic tensor properties of the nanotubes. The optical activity is studied within this framework, and a detailed classification of the possible nanotube-based optical devices is given. At the microscopic level, full symmetry is used to find general forms of the characteristic functions of the nanotubes. In particular, the stability of the double-wall configurations and the possibility of chiral currents are discussed. Several other consequences are discussed: quantum numbers and related selection rules, phonon spectra, etc. In particular, the bands of the zigzag and the armchair tubes are generally expected to be fourfold degenerate.