10 FIG. 11: (Color online) LDOS of the lower-energy (left col- umn) and the higher-energy (right column) acceptor level in the easy direction (indicated by white arrow in top left cor- ners) for the FM configurations. Each row corresponds to a given crystal orientation and separation for of the Mn pair. FIG. 12: (Color online) LDOS of the lower-energy (left col- umn) and the higher-energy (right column) acceptor level in the easy direction for the AFM configurations. [110] [110] [110] [110] [110] [110] [110] [001] [110] [110] [001] [110] [110] [110] [001] (110) [112] [110] [110] [111] [111] [112] [112] [112] 0 1.1 10 -1 6.6 -2 3.8 10 -2 2.0 -2 8.3 10 -3 2.5 -3 3.1 10 -4 0 5.8 10 -2 3.7 -2 2.1 10 -2 1.1 -2 4.6 10 -3 1.4 -3 1.7 10 -4 0 3.3 10 -2 2.1 -2 1.2 10 -2 6.2 -3 2.6 10 -3 7.8 -4 9.7 10 -5 0 2.9 10 -2 1.8 -2 1.1 10 -2 5.4 -3 2.3 10 -3 6.8 -4 8.5 10 -5 0 3.2 10 -2 2.0 -2 1.2 10 -2 5.9 -3 2.5 10 -3 7.4 -4 9.3 10 -5 0 3.0 10 -2 1.9 -2 1.1 10 -2 5.5 -3 2.3 10 -3 6.9 -4 8.6 10 -5 0 2.8 10 -2 1.8 -2 1.0 10 -2 5.2 -3 2.2 10 -3 6.5 -4 8.1 10 -5 0 3.3 10 -2 2.1 -2 1.2 10 -2 6.2 -3 2.6 10 -3 7.8 -4 9.8 10 -5 0 5.7 10 -2 3.6 -2 2.1 10 -2 1.1 -2 4.5 10 -3 1.3 -3 1.7 10 -4 0 2.8 10 -2 1.8 -2 1.0 10 -2 5.3 -3 2.2 10 -3 6.6 -4 8.3 10 -5 0 3.2 10 -2 2.0 -2 1.2 10 -2 5.9 -3 2.5 10 -3 7.3 -4 9.2 10 -5 0 6.0 10 -2 3.8 -2 2.2 10 -2 1.1 -2 4.7 10 -3 1.4 -3 1.8 10 -4 0 3.1 10 -2 2.0 -2 1.1 10 -2 5.9 -3 2.5 10 -3 7.3 -4 9.1 10 -5 0 5.6 10 -2 3.5 -2 2.0 10 -2 1.0 -2 4.4 10 -3 1.3 -3 1.6 10 -4 0 8.9 10 -2 5.6 -2 3.3 10 -2 1.7 -2 7.0 10 -3 2.1 -3 2.6 10 -4 0 2.8 10 -2 1.8 -2 1.0 10 -2 5.3 -3 2.2 10 -3 6.6 -4 8.3 10 -5 0 3.0 10 -2 1.9 -2 1.1 10 -2 5.6 -3 2.4 10 -3 7.0 -4 8.8 10 -5 0 4.3 10 -2 2.7 -2 1.6 10 -2 8.0 -3 3.4 10 -3 1.0 -3 1.3 10 -4 0 4.1 10 -2 2.6 -2 1.5 10 -2 7.6 -3 3.2 10 -3 9.5 -4 1.2 10 -4 0 7.6 10 -2 4.8 -2 2.8 10 -2 1.4 -2 6.0 10 -3 1.8 -3 2.2 10 -4 0 1.1 10 -1 6.7 -2 3.9 10 -2 2.0 -2 8.3 10 -3 2.5 -3 3.1 10 -4 0 1.7 10 -1 1.1 -1 6.1 10 -2 3.1 -2 1.3 10 -2 3.9 -3 4.9 10 -4 [110] [001] [001] [110] [001] [001] [001] [001] [110] [001] [001] [001] [001] [100] [100] [112] [112] [112] [112] [001] [001] [111] [111] 0 1.4 10 -1 8.7 -2 5.0 10 -2 2.6 -2 1.1 10 -2 3.2 -3 4.0 10 -4 0 8.2 10 -2 5.2 -2 3.0 10 -2 1.5 -2 6.5 10 -3 1.9 -3 2.4 10 -4 0 6.3 10 -2 4.0 -2 2.3 10 -2 1.2 -2 4.9 10 -3 1.5 -3 1.8 10 -4 0 3.7 10 -2 2.3 -2 1.4 10 -2 6.9 -3 2.9 10 -3 8.6 -4 1.1 10 -4 0 3.4 10 -2 2.2 -2 1.3 10 -2 6.4 -3 2.7 10 -3 8.0 -4 1.0 10 -4 0 5.9 10 -2 3.7 -2 2.2 10 -2 1.1 -2 4.7 10 -3 1.4 -3 1.7 10 -4 0 5.8 10 -2 3.7 -2 2.1 10 -2 1.1 -2 4.6 10 -3 1.4 -3 1.7 10 -4 0 9.2 10 -2 5.8 -2 3.4 10 -2 1.7 -2 7.3 10 -3 2.2 -3 2.7 10 -4 0 5.7 10 -2 3.6 -2 2.1 10 -2 1.1 -2 4.5 10 -3 1.3 -3 1.7 10 -4 0 5.5 10 -2 3.5 -2 2.0 10 -2 1.0 -2 4.3 10 -3 1.3 -3 1.6 10 -4 0 7.3 10 -2 4.6 -2 2.7 10 -2 1.4 -2 5.7 10 -3 1.7 -3 2.1 10 -4 0 6.3 10 -2 4.0 -2 2.3 10 -2 1.2 -2 5.0 10 -3 1.5 -3 1.8 10 -4 0 5.4 10 -2 3.4 -2 2.0 10 -2 1.0 -2 4.2 10 -3 1.3 -3 1.6 10 -4 0 5.6 10 -2 3.5 -2 2.0 10 -2 1.0 -2 4.4 10 -3 1.3 -3 1.6 10 -4 0 6.7 10 -2 4.2 -2 2.5 10 -2 1.3 -2 5.3 10 -3 1.6 -3 2.0 10 -4 0 5.8 10 -2 3.7 -2 2.1 10 -2 1.1 -2 4.6 10 -3 1.4 -3 1.7 10 -4 0 5.9 10 -2 3.7 -2 2.2 10 -2 1.1 -2 4.7 10 -3 1.4 -3 1.7 10 -4 0 3.4 10 -2 2.2 -2 1.3 10 -2 6.4 -3 2.7 10 -3 8.0 -4 1.0 10 -4 0 3.4 10 -2 2.1 -2 1.2 10 -2 6.3 -3 2.7 10 -3 7.8 -4 9.8 10 -5 0 5.2 10 -2 3.3 -2 1.9 10 -2 9.7 -3 4.1 10 -3 1.2 -3 1.5 10 -4 0 8.2 10 -2 5.2 -2 3.0 10 -2 1.5 -2 6.5 10 -3 1.9 -3 2.4 10 -4 0 1.5 10 -1 9.3 -2 5.4 10 -2 2.8 -2 1.2 10 -2 3.4 -3 4.3 10 -4 [110] [001] (110)