Abstract
The effect of a lateral external electric fieldF on an exciton ground state in an InAs disc-shaped quantum dot has been studied using avariational method within the effective mass approximation. We consider that the radialdimension of the disc is very large compared to its height. This situation leadsto separating the excitonic Hamiltonian into two independent parts: the lateralconfinement which corresponds to a two-dimensional harmonic oscillator and an infinitesquare well in the growth direction. Our calculations show that the completedescription of the lateral Stark shift requires both the linear and quadratic terms inF which explains that the exciton possess nonzero lateral dipolar moment and polarizability.The fit of the calculated Stark shift permits us to estimate the lateral permanent dipolemoment and the polarizability according to the disc size. Our results are compared to thoseexisting in the literature. In addition the behavior of the optical integral shows that theexciton lifetime is greater than that under zero field which is due to the field-inducedpolarization.
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