Application of Finite Difference Method in Modeling Quantum Dot Superlattice Silicon Tandem Solar Cell

In this paper we propose an effective method to model quantum dot superlattice silicon tandem solar cell. The Schrödinger equation is solved through finite difference method (FDM) to calculate energy band of three-dimensional silicon quantum dots embedded in the matrix of SiO2 and Si3N4.We simulate the quantum dot superlattice as regularly spaced array of equally sized cubic dots in respective matrix. For simplicity, we consider only one period of the structure in calculation. From the result, the effects of matrix material, dot size and inter-dot distance on the bandgap are obtained.