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

TL;DR

This paper explores how symmetry principles determine the chirality dependence of physical properties in single wall nanotubes, providing exact formulas and insights without complex calculations.

Contribution

It reveals the symmetry origin of chirality dependence in nanotube properties and offers empirical formulas for experimental and numerical verification.

Findings

Derived exact chirality dependence formulas

Identified symmetry restrictions for physical observables

Simplified analysis of physical quantities using symmetry

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.