Effective models for excitons in carbon nanotubes
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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
final version, accepted for publication in Annales Henri Poincare