Table 1 Estimates of the coupling constants connecting the core spins for the double-exchange and super-exchange mechanisms operative in CMNRO and CMCRO, as estimated employing the super-exchange formula and total energy calculations of different spin configurations. Negative (positive) signs indicate ferro-(antiferro-) magnetic interactions.
From: Understanding complex multiple sublattice magnetism in double double perovskites
| Â | D (meV) | \(JS^{2}\) (meV) | Effective |
|---|---|---|---|
CMNRO | |||
Mn1–Mn2 | − 91.7 (− 94.7) | 47.5 (48.8) | − 44.2 (− 45.9) |
Mn1–Ni | − 123.5 (− 117.3) | 54.8 (56.1) | − 68.7 (− 61.2) |
Mn2–Ni | − 28.6 (− 29.6) | 10.8 (9.7) | − 17.8 (− 19.9) |
Mn@Ni–Mn1 | − 100.9 | 37.9 | − 63.0 |
Mn@Ni–Mn2 | − 50.3 | 30.1 | − 20.2 |
CMCRO | |||
Mn1–Mn2 | 1.9 (2.1) | 48.5 (44.6) | 50.4 (46.7) |
Mn1–Co | − 143.9 (− 147.4) | 87.9 (86.1) | − 56.0 (− 61.3) |
Mn2–Co | − 18.7 (− 19.8) | 41.0 (43.1) | 22.3 (23.3) |
Co@Mn2–Mn1 | 2.4 | 47.7 | 50.1 |
Co@Mn2–Co | − 150.3 | 88.1 | − 62.2 |