It is shown that in the potential energy of an exciton of spatially separated electrons and holes (hole moves in the amount of quantum dots (QDs), and the electron is localized on a spherical surface section (QD - dielectric matrix)) taking into account centrifugal energy gives rise band of the quasi-stationary surface exciton states that with the increase of the radius of QD becomes stationary state. The mechanisms of formation of the spectra of interband and intraband absorption (emission) of light in nanosystems containing aluminum oxide QDs, placed in the matrix of vacuum oil, are presented. It is shown that the electron transitions in the area of the surface exciton states cause significant absorption in the visible and near infrared wavelengths, and cause the experimentally observed significant blurring of the absorption edge.
Pokutnyi, S. I. (2019). Theory of Exciton States in Nanosystems Containing Dielectric Quantum Dots. In Springer Proceedings in Physics (Vol. 222, pp. 173–194). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-030-17755-3_12