Abstract
Binding energies for an exciton ( X) trapped in the two-dimensional quantum dot by a positive ion located on the z axis at a distance d from the dot plane are calculated by using the method of few-body physics. This configuration is called a barrier ( D +, X) center. The dependence of the binding energy of the ground state of the barrier ( D +, X) center on the dot radius for a few values of the distance d between the fixed positive ion on the z axis and the dot plane is obtained. We find that when d<0.2 nm the barrier ( D +, X) center does not form a bound state.
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