Based on the state-of-the-art ab-initio electronic structure calculation by using the Korringa-Kohn-Rostoker coherent-potential approximation (KKR-CPA) method with the local density approximation (LDA) and self-interaction corrected LDA (SIC-LDA) to go beyond the LDA, we propose a unified physical picture of 3d transition-metal-doped dilute-magnetic-semiconductors (DMS) in II-VI compound semiconductors, such as ZnO, ZnS, ZnSe and ZnTe. Zener's double-exchange interaction and super-exchange interaction mechanisms are competing in the magnetism of II-VI DMS. In a homogeneous system, the electronic structure calculated by using the SIC-LDA and the Curie temperature (PC) in a Monte Carlo simulation with the LDA is in good agreement with the experimental data of photoemission spectroscopy and the experimental value of PC. In a inhomogeneous system, we propose the three-dimensional Dairiseki phase and the one-dimensional Konbu phase caused by spinodal nano-decomposition. These are responsible for the high-PC (or TB) phases in the DMS. We design the growth position and control the shape of nano-magnets by using self-organization.
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