Topological magnetic textures from Dzyaloshinskii-Moriya interaction
Magnetic skyrmions are topological solitons in 2D magnets with Dzyaloshinskii-Moriya (DM) interaction.
Energy: E = −J·Σ(n_i·n_j) + D·Σ(d_ij × (n_i × n_j)) − H·Σn_z,i.
The DM interaction (arising from broken inversion symmetry) stabilizes a chiral spin texture.
Skyrmion number Q = (1/4π)∫n·(∂_x n × ∂_y n)dxdy is an integer topological invariant.
Left: spin texture colored by n_z. Right: topological charge density q(r).