Ground and excited exciton states in semiconductor carbon nanotubes: Perturbative and variational approach
Résumé
The energy levels of an exciton in semiconductor nanotubes depend on the radius of the tube. Recent two-photon photoluminescence studies give accurate experimental results on the ground and first excited state energy for different nanotubes. In this study, we propose and justify a theoretical model for the exciton which gives us almost analytic expressions for eigenvalues and eigenfunctions of ground and excited states, depending on the radius of the nanotube. We compare the results with a variational approach.