Effective models for excitons in carbon nanotubes

Details Effective models for excitons in carbon nanotubes Effective models for excitons in carbon nanotubes

2006-03-09

arxiv.org/abs/math-ph/0603026v2

Annales Henri Poincare, Volume 8, Number 1 / February, 2007

Physics

Mathematical Physics

final version, accepted for publication in Annales Henri Poincare

Scientific paper

10.1007/s00023-006-0303-7

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.

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