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.