| bcc | body-centered cubic (lattice) |
| DM | Dzyaloshinskii-Moriya |
| fcc | face-centered cubic (lattice) |
| GS | ground state |
| hcp | hexagonal close-packed (lattice) |
| MC | Monte Carlo |
| nn | nearest neighbors |
| nnn | next-nearest neighbors |
| PBC | periodic boundary conditions |
| SW | spin wave |
| 2D | two dimensions |
| 3D | three dimensions |
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