We have studied the effect of shape on the strain-modified electron/hole confinement potential in zinc-blende quantum dots (QDs), using standard deformation potential theory and an anisotropic continuum-elasticity approximation. Calculations were performed for a variety of shapes of InAs/GaAs (001) QDs. Our results show that the essential features of the confinement potential are determined primarily by one geometric parameter, i.e., the aspect ratio, being insensitive to other details of the QD shape. The underlying trends in strain distribution are also revealed. Our results suggest that a simple analytical model, based on the oblate-ellipsoid shape and isotropic elasticity approximation, adequately describes the major features of the strain-modified confinement potential for a wide range of self-assembled III-V (zinc-blende) QDs.
Rybchenko, S. I., Yeap, G., Gupta, R., Itskevich, I. E., & Haywood, S. K. (2007). Importance of aspect ratio over shape in determining the quantization potential of self-assembled zinc-blende III-V quantum dots. Journal of applied physics, 102(1), 013706. https://doi.org/10.1063/1.2752127