Differential conductance of armchair single-wall carbon nanotubes due to presence of electron–phonon interaction

•It is theoretically presents the effect of electron-phonon interaction on the conductance of armchair single-wall carbon nanotubes by using a perturbative method.•The influence of radial breathing mode and tangential optical mode are investigated on the conductance pattern of armchair single-wall carbon nanotubes.•The dependence of differential conductance on tube length and diameter is studied.

We have theoretically investigated the first correction to conductance of armchair single wall carbon nanotubes (SWCNTs) with finite length, embedded between two electrodes, due to the presence of electron–transversal phonon interaction. The perturbative scheme has been used with finite length real space nearest neighbors tight binding method. Both radial breathing and tangential modes are investigated separately. It is found that not only the conductance correction crucially depends on source-drain voltage but also it strongly depends on the length and diameter of SWCNT. So, this work opens up opportunities to control the electrical conductance of SWCNT and increases yield of micro or nanodevices based on carbon nanotube.