Exciton in a strained (001)‐oriented zinc‐blende GaN/AlxGa1‐xN ellipsoidal finite‐potential quantum dot under hydrostatic pressure

Abstract

AbstractA variational method is used to discuss the binding energies of excitons in a strained zinc‐blende ellipsoidal quantum dot by considering the hydrostatic pressure effect. The analytic expressions for the Hamiltonian of the exciton have been obtained by using the Hylleraas coordinate system. The results indicate that the binding energies of excitons reach a peak value as the quantum dot radius increases and then diminish for the finite potential well. We show that the binding energies of excitons decrease with increasing ellipticity constant, but increase with pressure. In particular, it is found that the binding energies are more sensitive to the variations of the ellipticity constant for the small size of QD (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)