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.
@article{arxiv.1305.6572,
title = {Exciton Dynamics in Carbon Nanotubes: From the Luttinger Liquid to Harmonic Oscillators},
author = {M. C. Sweeney and J. D. Eaves},
journal= {arXiv preprint arXiv:1305.6572},
year = {2014}
}