Calculation of Biexiton Binding Energy in a Cylindrical Quantum Dot with a Mors Potential

This article considers biexciton states in a cylindrical quantum dot in the strong dimensional quantization regime and shows the stability of the biexciton. A cylindrical quantum dot is limited in the axial direction by the parabolic potential, but in the radial direction – by the Morse potential. The dependences of the energy of the ground state of the biexciton on the geometric parameters of the quantum dot are calculated using the Heisenberg uncertainty principle. The dependence of the binding energy of the biexciton on the frequency of the parabolic potential is plotted. The lifetime of an exciton and biexciton in a cylindrical quantum dot is estimated for various parameters of the quantum dot.