Magnetic Skyrmion — Topology & Winding Number
Topological charge Q = (1/4π) ∫ m·(∂m/∂x × ∂m/∂y) dx dy
Skyrmion Parameters
Skyrmion radius R:
6.0
Helicity γ (°):
0
Vorticity n:
1
External field B_z:
0.5
Type:
Néel skyrmion
Bloch skyrmion
Antiskyrmion
Meron (Q=1/2)
Toggle Dynamics
Topological charge (integer):
Q = 1/(4π) ∫ m·(∂ₓm×∂ᵧm) dA
Néel: γ=0, Bloch: γ=π/2
Stability: topological protection
Skyrmion Hall effect: F_sk = -Q·B×v
DM interaction drives type selection
Winding number Q:
—
Skyrmion size:
—
Energy (arb.):
—
m_z center:
—