Quantum-confined stark effect on an exciton in a spherical quantum well of a GaAs cluster embedded in AlxGa1−xAs

Abstract Cluster size dependence of the quantum-confined Stark effect on a 1s exciton state in a spherical GaAs quantum well embedded in Al x Ga 1−x As is investigated by an exact continuous energy spectrum calculation based on Weyl's theory, within the effective-mass and the adiabatic approximations. Numerical results for the zero-field system indicate that the 1s exciton binding energy is about three times that of a one-dimensional quantum well and that the 1s exciton state shows a drastic cluster size-dependence at small cluster radii (less than 100 atomic units (a.u.)) both of eigenvalue and exciton binding energy. It is found that under a strong electrostatic field, the resonance state for relatively larger radius (R 0 =180 a.u.) is more stable than that for small radii (R 0 =60 a.u. and 120 a.u.) because of its deeper energy level.