Energy-level spectra of transition-metal ions in II-VI semiconductors

We present a systematic investigation of the low-lying levels and Zeeman splittings of transition-metal ions in diluted magnetic semiconductors having the zinc-blende or the wurtzite structure. The site symmetry of the magnetic ions is ${\mathit{T}}_{\mathit{d}}$ in the former and ${\mathit{C}}_{3\mathit{v}}$ in the latter. The present formalism permits a general derivation of the energies of the levels in the lowest terms of the (3d${)}^{\mathit{n}}$ configurations for all the iron-group ions including the effects of the spin-orbit coupling and Zeeman interaction up to second order. The g factors of all levels are obtained including the anisotropy of the ${\mathrm{\Gamma }}_8$ states of ${\mathrm{Co}}^{2+}$ and ${\mathrm{Cu}}^{2+}$.