Effects of Surface Curvature and Electric Field on Electronic and Optical Properties of an Off-Center Hydrogenic Donor Impurity in 2D Nanostructures

In this study, we have explored how the curvature of a surface affects the electronic and optical properties of hydrogenic donor impurity within both flat and curved two-dimensional nanostructure, subject to an external electric field. In order to ascertain the energy states and their associated wave functions, we have numerically solved the Schrodinger equation using the effective mass approximation and finite difference method. Utilizing the resulting energy values and wave functions, we have computed binding energy, transition energy, curvature effect, optical absorption coefficient, and oscillator strength of an off-center hydrogenic impurity in a 2D quantum dot nanostructure. Furthermore, we have conducted a thorough analysis of how an electric field and geometrical confinement influence the spectrum of a confined electron-impurity. Our findings reveal that variations in radius and angle of curvature, applied electric field, and impurity position exert profound impacts on the electronic and optical properties of 2D-nanostructures.