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Effective models for excitons in carbon nanotubes

Horia D. Cornean, Pierre Duclos, Benjamin Ricaud

math-pharXiv:math-ph/0603026

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.

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