Luttinger liquid behavior in single wall nanotubes

TL;DR

This paper investigates the transport properties of metallic single-wall nanotubes using Luttinger liquid theory, highlighting how phonon backscattering affects resistivity at high temperatures.

Contribution

It applies Luttinger liquid theory to nanotube transistors and computes conductance considering phonon backscattering effects.

Findings

Linear conductance computed via Kubo formula

Phonon backscattering causes anomalous temperature dependence

High-temperature resistivity increases due to phonons

Abstract

Transport properties of metallic single-wall nanotubes are examined based on the Luttinger liquid theory. Focusing on a nanotube transistor setup, the linear conductance is computed from the Kubo formula using perturbation theory in the lead-tube tunnel conductances. For sufficiently long nanotubes and high temperature, phonon backscattering should lead to an anomalous temperature dependence of the resistivity.