Pseudopotential calculations of Cd1−xZnxTe: Energy gaps and dielectric constants
Abstract In this paper we present a study of the energy gaps, dielectric constants and their composition dependence in zinc-blende Cd 1− x Zn x Te over the entire composition range ( x from 0 to 1) at room temperature using pseudopotential formalism under a modified virtual crystal approximation which takes into account the effect of compositional disorder. It is showed that the theoretical model must include disorder effects in order to get a meaningful agreement with experiment. The theoretical expression which describes the compositional dependence of the fundamental energy gap is in good agreement with that observed by Tobin et al. [J. Electron. Mater. 24 (1995) 697].
We mainly explore the linear algebraic structure like SU(2) or SU(1,1) of the shift operators for some one-dimensional exactly solvable potentials in this paper. During such process, a set of method based on original diagonalizing technique is presented to construct those suitable operator elements, J0, J_\pm that satisfy SU(2) or SU(1,1) algebra. At last, the similarity between radial problem and one-dimensional potentials encourages us to deal with the radial problem in the same way.