Magnetic Skyrmion Lattice

Topological charge Q = ±1 — spin textures stabilized by Dzyaloshinskii-Moriya interaction
40
0.00
+1
3×3
Magnetic skyrmions are topologically protected spin textures in chiral magnets. The spin field n(r) wraps the unit sphere exactly once: Q = (1/4π)∫ n·(∂ₓn × ∂ᵧn) d²r = ±1. Stabilized by Dzyaloshinskii-Moriya interaction (DMI) from broken inversion symmetry. Helicity γ determines DMI type (Bloch γ=0/π, Néel γ=π/2). Arrow colors encode out-of-plane Sz.