Magnetic Skyrmion — Topological Charge Texture
Q = 1/(4π) ∫ n·(∂ₓn × ∂ᵧn) d²r — integer topological charge, topologically protected
Skyrmion Parameters
Radius R:
80
Vorticity (chirality):
Néel (+1)
Néel (−1)
Bloch
Antiskyrmion
Topological charge Q:
+1
Background m_z:
+1
Display mode:
Spin arrows + m_z
Topological charge density
Solid angle mapping
Animate Gyration
Q = +1
Skyrmions (Skyrme 1962):
Topologically non-trivial spin textures. Q is quantized — the integer winding of n:S²→S². Protected by topology: continuous deformations cannot change Q. Discovered in magnets 2009 (Mühlbauer). Promising for racetrack memory: driven by spin-transfer torque.