Peierls transition with acoustic phonons and twist deformation in carbon nanotubes

TL;DR

This paper investigates the Peierls transition in small-radius carbon nanotubes caused by electron interactions with acoustic and optical phonons, exploring topological excitations and temperature effects on conductivity.

Contribution

It introduces a comprehensive analysis of Peierls instability involving both acoustic and optical phonons in carbon nanotubes, highlighting the role of electron-lattice interactions.

Findings

Peierls transition occurs in small-radius carbon nanotubes due to phonon interactions.

Topological excitations influence the electronic properties of nanotubes.

Conductivity varies with temperature as a result of electron-lattice coupling.

Abstract

We consider the Peierls instability due to the interaction of electrons with both acoustic and optical phonons. We suggest that such a transition takes place in carbon nanotubes with small radius. The topological excitations and the temperature dependence of the conductivity resulting from the electron-lattice interactions are considered.