Acceptor states in cubic semiconductors having a large hole-mass ratio

In cubic semiconductors the hole-mass ratio is small, which makes it possible to use the zero light-hole-mass limit. It was found that variational methods in this popular limit are not necessary to solve the Luttinger equation and not only the entire energy spectrum for the bound states of an acceptor and the eigenfunctions, including in momentum space, but also the behavior of the eigenfunctions at large radii can be determined to a high degree of accuracy. This approach made it possible to suggest comparatively simple relations for the lowest states of each series having different angular momenta, covering the entire range of possible mass ratios for semiconductors. Fiz. Tverd. Tela (St. Petersburg) 41, 1556–1563 (September 1999)