Effective models for excitons in carbon nanotubes
Mathematical Physics
2007-05-23 v2 Mesoscale and Nanoscale Physics
math.MP
Abstract
We analyse the low lying spectrum of a model of excitons in carbon nanotubes. Consider two particles with an attractive Coulomb self-interaction, placed on an infinitely long cylinder. If the cylinder radius becomes small, the low lying spectrum is well described by a one-dimensional effective Hamiltonian which is exactly solvable.
Cite
@article{arxiv.math-ph/0603026,
title = {Effective models for excitons in carbon nanotubes},
author = {Horia D. Cornean and Pierre Duclos and Benjamin Ricaud},
journal= {arXiv preprint arXiv:math-ph/0603026},
year = {2007}
}
Comments
final version, accepted for publication in Annales Henri Poincare