Oscillator strengths of the intersubband electronic transitions in the hydrogenic nano-antidots

Abstract

We calculate the oscillator strengths of the quantum antidots with hydrogenic donor impurity at the center, for transitions from the ground state to the first as well as the second excited state, in two and three dimensions, with both finite and infinite potential energy barriers. For this purpose, the binding energy spectrum and the corresponding wavefunctions, are first determined in terms of the Whittaker and the hypergeometric functions. The results are tested against the well understood limiting cases such as the free hydrogen atom in the bulk material, and also compared with the previously reported work. It is found, in particular, that the oscillator strength characterizing the transitions from the ground state to the second excited state, though negligible for small antidot radii, becomes significantly large and indeed comparable with that of the transitions to the first excited state for large enough antidot radii.