Magnetic Skyrmions
Topologically protected spin textures · Winding number Q = ±1
SKYRMION PARAMETERS
Radius R
80
Helicity γ
0.00
π
Polarity p
1
Vorticity m
1
Antiskyrmion (m=-1)
Bi-Meron (Q=1/2+1/2)
Reset Skyrmion
DYNAMICS
Current J_x
0.0
Current J_y
0.0
Gilbert damping α
0.1
TOPOLOGY
Topological charge Q
−1
Skyrmion center x
250
Skyrmion center y
250
Hall angle θ
—
Topological charge:
Q = (1/4π) ∫ m·(∂_x m × ∂_y m) dA
Q = ±1 for skyrmion/antiskyrmion. The integer cannot change by continuous deformation — making skyrmions
topologically protected
.
Skyrmions move
perpendicular
to applied current (Skyrmion Hall effect) due to the Magnus force from the Berry phase.