Energy Spectra of Excitons Bound to a Neutral Acceptor in Quantum Dots

The energy spectra of the ground state for an exciton(X) trapped by a neutral acceptor (A⁰) in a quantum dot with aparabolic confinementhave been calculated as a function of the electron-to-hole mass ratio σ by using the hyperspherical coordinates.We find that the (A⁰,X) complex confined in aquantum dot has in general a larger binding energythan those in a two-dimensional quantum well and a three-dimensional bulksemiconductor, and the binding energy decreases with the increase of theelectron-to-hole mass ratio.