A nonparabolic conduction band study of circular quantum dot optical properties: modeling of surface roughness by using Koch snowflakes

In this work, we investigate the optical properties of single and multiple quantum dots (QDs) based on Al x Ga 1-x As/GaAs with two Koch snowflake-shaped and circular geometries. The idea is to determine the impact of the surface roughness of the circular QDs on the mentioned optical properties. This is an important issue in designing optoelectronic devices (e.g., photodetectors or light-emitting systems) because the position and magnitude of the absorption coefficient play important roles in devising them. We have also studied the effects of the conduction band nonparabolicity, QD size, number of QDs, and composition parameter x on the absorption coefficient. For this purpose, we have used an efficient finite difference method to solve the two-dimensional Schrodinger equation. The computational algorithm of the Koch snowflake-shaped QD production is also described.