Eur. Phys. J. B (2016) 89: 177
https://doi.org/10.1140/epjb/e2016-60988-6

Regular Article

The effects of cup-like and hill-like parabolic confining potentials on photoionization cross section of a donor in a spherical quantum dot

University of Botswana, Private Bag 0022, Gaborone, Botswana

^a e-mail: tshipam@mopipi.ub.bw

Received: 31 December 2015
Received in final form: 30 April 2016
Published online: 8 August 2016

Abstract

A theoretical investigation of the effects of hill-like and cup-like parabolic confining electric potentials on photoionization cross section (PCS) in a spherical quantum dot is presented. The hill-like and the cup-like parabolic potentials are superimposed on an infinite spherical square well (ISSW) potential. As the cup-like parabolic potential intensifies, the peak of the PCS becomes redshifted for the s → p transition, and becomes blueshifted for the p → d, d → f (and so forth) transitions. The hill-like parabolic potential, on the contrary, blueshifts peaks of the PCS for s → p transitions, while it redshifts those of transitions between higher states as it intensifies. Consequently, the two potentials discriminate between transitions involving the ground state and those involving higher states.