Magnetic Skyrmion

Topological spin texture — click to place skyrmion/antiskyrmion
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Click canvas to add skyrmion
Skyrmions are topological solitons in magnetic thin films, stabilized by Dzyaloshinskii-Moriya (DM) interaction: H = −J∑Sᵢ·Sⱼ − D∑(Sᵢ×Sⱼ)·ẑ − B∑Szᵢ. The topological charge Q = (1/4π)∫S·(∂ₓS×∂ᵧS)dxdy = ±1 prevents trivial unwinding — skyrmions are topologically protected. Click to place, drag to move.