Abstract
Recent optical absorption and emission experiments showed that the lower
energy optical transitions in carbon nanotubes are excitonic in nature,
as predicted by theory. These experiments were based on the symmetry
aspects of free electron-hole states and bound excitonic states. The
present work shows, however, that group theory does not predict the
selection rules needed to explain the two photon experiments. We obtain
the symmetries and selection rules for the optical transitions of
excitons in single-wall carbon nanotubes within the approach of the
group of the wave vector, thus providing important information for the
interpretation of theoretical and experimental optical spectra of these
materials.
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