Survey of exciton-phonon sidebands by magneto-optical spectroscopy using highly specified (6,5) single-walled carbon nanotubes

We report high-field magneto-optical study on the exciton-phonon sideband of single-walled carbon nanotubes consisting only of (6,5) species. Both energy and intensity of the observed phonon sideband were found to be independent of the external magnetic field. Comparing with theoretical calculations, we confirmed that these sidebands originate from the optically forbidden K-momentum singlet excitons. Energy of these K-momentum dark excitons was estimated to be ∼21.5 meV above the bright Γ-momentum singlet excitons, in close agreement with recent theoretical predictions and experimentally determined values.