Experimental study of Coulomb corrections and single-particle energies for single-walled carbon nanotubes using cross-polarized photoluminescence

We report the observation of cross-polarized transitions of single-walled carbon nanotubes (SWCNTs) isolated with aromatic polymers. The use of photoluminescence excitation mapping allows the identification of the transitions of individual species of SWCNT. Comparing experimental observation with theory yields an estimate for the Coulomb interactions, which is dependent on the nanotubes' diameter and environment. Values for the single-particle energies are deduced and found to be in good agreement with the predictions of tight-binding models.