Magnetic Skyrmion — Topological Charge

A magnetic skyrmion is a topologically protected spin texture with integer winding number Q = ±1. The spin field wraps the sphere once — it cannot be smoothly unwound. Under applied current, skyrmions drift perpendicular to the force (skyrmion Hall effect) due to the topological Magnus term.

Current J_x 0.15 Current J_y 0.00 Damping α 0.10

Q = –1 | Position: (—, —) | Hall angle: —°

Thiele eq: G×v − D·α·v = F_j | G = 4πQ ẑ (gyrovector), D=dissipation tensor