Exciton–donor complexes in semiconductor quantum dots in a magnetic field: Infinite and finite potential barriers

The binding energy of the ground state of a charged exciton–donor complex in a spherical semiconductor quantum dot with infinite and finite potential barriers as well as the oscillator strength for the optical transition of electron from the valence band to the ground state of the complex in the presence of a homogeneous magnetic field have been investigated. The theoretical analysis is carried out using a variational approach in the framework of the adiabatic approximation.