Effect of quantum dot size on frequency of confinement potential

Abstract

The effect of quantum dot size on frequency of confinement potential was investigated using the modified single band toy model. The three different semiconductor quantum dots considered are Cadmium Selenide (CdSe), Zinc Sulphide (ZnS), and gallium Arsenide (GaAs). The sizes of semiconductor quantum dots considered are the same as the nano-size of the Bohr exciton radius of electron-hole pairs in solids. Due to this fact, they exhibit effects of quantum size as particles in a three dimensional box. The frequency of the confinement potential and confinement energy of electrons in semiconductor quantum dots increases with decrease in the size of the nano-crystal. The graphs of the frequency of confinement potentials as a function of quantum dot size plotted for each of the three different semiconductor quantum dots show an exponential decay curves. This is in agreement with the fact that the lowest possible energy for a quantum dot sample is never zero.

Keywords: Quantum dots, confinements, exciton, frequency