Exciton Dynamics in Carbon Nanotubes: From the Luttinger Liquid to Harmonic Oscillators

TL;DR

This paper presents a theoretical approach combining bosonization, mean-field theory, and harmonic approximation to analyze exciton dynamics in semiconducting carbon nanotubes, revealing their reduction to coupled harmonic oscillators and the quasiparticle nature of excitons.

Contribution

It introduces a novel theoretical framework that simplifies the complex exciton behavior in nanotubes to coupled harmonic oscillators, providing new insights into their quantum properties.

Findings

Absorption spectrum can be modeled with harmonic oscillators

Quasiparticle nature of excitons emerges naturally

Semiconducting nanotubes reduce to weakly coupled oscillators

Abstract

We show that the absorption spectrum in semiconducting nanotubes can be determined using the bosonization technique combined with mean-field theory and a harmonic approximation. Our results indicate that a multiple band semiconducting nanotube reduces to a system of weakly coupled harmonic oscillators. Additionally, the quasiparticle nature of the electron and hole that comprise an optical exciton emerges naturally from the bosonized model.