Electronic properties of double-layer carbon nanotubes

TL;DR

This paper investigates the electronic spectra of double-wall zigzag and armchair nanotubes, examining effects of curvature, relative shifts, and rotations, revealing stable semimetal properties and doping effects due to inter-shell interactions.

Contribution

It provides new calculations of electronic spectra considering curvature and relative positioning, highlighting stable semimetal characteristics and doping effects in double-wall nanotubes.

Findings

Outer shell is hole doped by the inner shell.

Stable semimetal characteristics in armchair DWNTs.

Shift of Fermi wave vector with decreasing nanotube radius.

Abstract

The electronic spectra for double-wall zigzag and armchair nanotubes are found. The influence of nanotube curvatures on the electronic spectra is also calculated. Our finding that the outer shell is hole doped by the inner shell is in the difference between Fermi levels of individual shells which originate from the different hybridization of pi-orbital. The shift and rotation of the inner nanotube with respect to the outer nanotube are investigated. We found stable semimetal characteristics of the armchair DWNTs in regard of the shift and rotation of the inner nanotube. We predict the shift of k_F towards the bigger wave vectors with decreasing of the radius of the armchair nanotube.