Jj-Type of coupling in the scheme to construct the energy levels of a shallow acceptor in semiconductors

Abstract

There is examined the classification of shallow acceptor energy levels by jj-type coupling, whose wave functions are converted by sets of irreducible representations by one of the subgroupsD 4h /′ ,D 3d /′ ,D 2h /′ of the group o h /′ . The representations Γ 5 + of the groupD 4h /′ are obtained in the one-function approximation by using a variational method, and systems of eight radical second-order differential equations are solved for two functions Γ 5 + in the case of a shallow acceptor in germanium by the method of orthogonal differential factorization. A comparison is made of the two low levels found and their radial functions for each of the functions Γ 5 + with the computed levels and the functions of LS-type coupling.