“…In spite of intense experimental and theoretical activity in Ga 1−x Mn x As over the last ten years, the key issue of valence band versus impurity band carriers mediating the DMS ferromagnetism has remained controversial even in the optimally doped, (x ∼ 0.05) nominally metallic, high-T c (T c ∼ 150 − 200K, the ferromagnetic transition temperature or the Curie temperature) Ga 1−x Mn x As material. For example, ab initio first principles band structure calculations 7 typically indicate a strong-coupling narrow impurity band behavior whereas the extensively used phenomenological mean-field description, parameterized by a single effective impurity moment-carrier spin ("pd") exchange interaction 1,3,4,8 , leads to reasonable quantitative agreement with experimental results in the metallic (x ∼ 0.05) Ga 1−x Mn x As requiring a relatively weak exchange coupling (and therefore, a weak perturbation of the GaAs valence band) between the Mn moments and the valence band holes. Similarly, optical absorption spectroscopic data in GaMnAs were first interpreted 9 using an impurity band theoretic description 10 , but later it was shown 11 that the same data could also be explained as arising from the valence band picture.…”