Abstract
It is known experimentally that stable charged-exciton complexes can exist in low-dimensional semiconductor nanostructures. Much less is known about the properties of such charged-exciton complexes since three-body problems are very difficult to solve, even numerically. Here we introduce the correlated hyperspherical harmonics as basis functions to solve the hyperangular equation for negatively and positively charged excitons (trions) in a harmonic quantum dot. By using this method, we have calculated the binding energy spectra of charged-exciton complexes in a quantum dot as a function of the electron-to-hole mass ratio and the dot radius. Our results show that the binding energies of positively charged excitons X + are larger than those of negatively charged excitons X-. We compare our calculated results with those of earlier theories.
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