Magnetic Skyrmion Hall Drift
Thiele Equation · Topological Hall Effect · Gyrovector
Skyrmion Parameters
Driving Force Fₓ:
0.5
Driving Force F_y:
0.0
Dissipation α:
0.3
Topological Charge Q:
+1
Skyrmion Radius R:
40
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—
vₓ
—
v_y
—
Hall Angle θ_H
—
|G|
Thiele equation:
G×v + D·α·v = F
where G = 4πQẑ (gyrovector, Q=topol. charge), D = dissipation tensor, F = driving force.
Skyrmion Hall angle: θ_H = arctan(4πQ/αD). Opposite Q → opposite Hall drift. The skyrmion Hall effect limits their use in racetrack memory.