Spin Waves & Ferromagnetic Resonance
Magnon dispersion ω(k)=Dk²+ω₀ and spin precession dynamics
ω₀ = 1.0 | FMR peak at: 1.00
Magnon dispersion: ω(k) = Dk² + ω₀ where ω₀ = γB (Zeeman) and D is exchange stiffness.
Left: spin precession angles S_x along 1D chain (blue=x, orange=y components).
Right: Fourier power spectrum showing magnon modes. Ferromagnetic resonance at k=0, ω=ω₀.
Gilbert damping α causes exponential decay of spin waves (Landau-Lifshitz-Gilbert equation).