Effective models for excitons in carbon nanotubes
arXiv:math-ph/0603026 · doi:10.1007/s00023-006-0303-7
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.
final version, accepted for publication in Annales Henri Poincare