Spectral Correlation in Incommensurate Multi-Walled Carbon Nanotubes

TL;DR

This paper studies the energy spectra of incommensurate double-walled carbon nanotubes, revealing spectral regimes that suggest electron transport can be diffusive, ballistic, or intermediate, depending on the Fermi energy.

Contribution

It demonstrates that the spectral properties of incommensurate nanotubes follow critical statistics similar to Anderson transitions, highlighting different transport regimes.

Findings

Spectral regimes include Wigner-Dyson, Poisson, and semi-Poisson distributions.

Transport behavior varies from diffusive to ballistic depending on Fermi energy.

Spectral analysis links to electron transport properties in nanotubes.

Abstract

We investigate the energy spectra of clean incommensurate double-walled carbon nanotubes, and find that the overall spectral properties are described by the so-called critical statistics of Anderson metal-insulator transition. In the energy spectra, there exist three different regimes characterized by Wigner-Dyson, Poisson, and semi-Poisson distributions. This feature implies that the electron transport in incommensurate multi-walled nanotubes can be either diffusive, ballistic, or intermediate between them, depending on the position of the Fermi energy.