General one-dimensional computation formula and application to donor binding energy in GaAs-Ga1-xAlxAs superlattice

Abstract

In this paper, the general formula was found for one- dimensional computation of GaAs-Ga1-xAlxAs superlattice or quantum well. The formula can be used to calculate donor binding energy in external field using the effective-mass approximation. The effect of superlattice structure and different external fields were expressed as potential energy item V vector (r) in Hamiltonian. The results were of universal significance in a certain sense and application prospects for developing new material.