Electronic Stucture of Negative Trions in Semiconducting Quantum Dots

A trion system is one that includes an exciton system pairing with either an electron (called a negative trion) or a hole (called a positive trion). Trions in bulks typically has infinitesimal binding energies, but recent research has shown that trions in quantum well have their binding energy increased by an order of magnitude, i.e. the confinement configuration supports the formation of trions. The measurements of the photoluminescence spectra of the trions in a single, self-assembled quantum dot also show the dependence of the photoluminescence lines on the size and geometry of the quantum dot.
In this project, we will theoretically investigate the electronic structure of negative trions in a spherical quantum dot of a direct band gap semiconductor. The effect of an electric field on the trions will be considered to obtain the splitting of trion energy levels under the electric field. The respective wave functions of the resulting states have been obtained as well. The dependence of the electric field effect on the size of the dots will be investigated.