Conductance of telescoped double-walled nanotubes from perturbation calculations

TL;DR

This paper derives an analytic formula for the conductance of telescoped double-walled nanotubes using perturbation theory, accounting for interlayer interactions and their effects on electron transport.

Contribution

It introduces a systematic perturbation approach to calculate interlayer conductance in TDWNTs, improving accuracy with higher-order terms and clarifying interaction effects.

Findings

Analytic formula for interlayer conductance derived

Higher-order perturbation terms improve accuracy

Insights into interlayer interaction effects

Abstract

In a telescoped double-walled nanotube (TDWNT), with the inner tube partially extracted from the outer tube, the total current is forced to flow between the layers. Considering the interlayer Hamiltonian as a perturbation, we can obtain an analytic formula for the interlayer conductance. The accuracy of the perturbation formula is systematically improved by including higher-order terms. The interlayer interaction effective in the perturbation formula is the product of the interlayer Hamiltonian and the wave function. It clarifies the effects of the spatial range of the interlayer Hamiltonian and the band energy shift.