Symmetry restrictions in chirality dependence of physical properties of single wall nanotubes

Abstract

We investigate the chirality dependence of physical properties of nanotubes which are wrapped by the planar hexagonal lattice including graphite and boron nitride sheet, and reveal its symmetry origin. The observables under consideration are of scalar, vector and tensor types. These exact chirality dependence obtained are useful to verify the experimental and numerical results and propose accurate empirical formulas. Some important features of physical quantities can also be extracted by only considering the symmetry restrictions without complicated calculations.

arXiv comment5 pages, 1 figures

References in corpus (8)

• Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
• Chirality distribution and transition energies of carbon nanotubes
• Full Symmetry of Single- and Multi-wall Nanotubes
• Electric Polarization of Heteropolar Nanotubes as a Geometric Phase
• Nanotube Piezoelectricity
• Temperature Dependence of the Band Gap of Semiconducting Carbon Nanotubes
• Chirality effects in carbon nanotubes
• Aharonov-Bohm Oscillation and Chirality Effect in Optical Activity of Single Wall Carbon Nanotubes

Cited by in corpus (1)

• Chiral symmetry analysis and rigid rotational invariance for the lattice dynamics of single-wall carbon nanotubes