Parameters
Lattice
Magnon dispersion (1D):
ω(k) = 2JS(1−cos ka) + gμ_BB + 2DS²
At small k: ω ≈ JSk²a² (quadratic — characteristic of ferromagnets).
Antiferromagnets have linear ω ∝ k.
Magnons are bosonic quasiparticles — quantized spin waves. At low T they carry heat and angular momentum with mean occupation n_k = 1/(e^(ℏω/kT)−1).
ω(k) = 2JS(1−cos ka) + gμ_BB + 2DS²
At small k: ω ≈ JSk²a² (quadratic — characteristic of ferromagnets).
Antiferromagnets have linear ω ∝ k.
Magnons are bosonic quasiparticles — quantized spin waves. At low T they carry heat and angular momentum with mean occupation n_k = 1/(e^(ℏω/kT)−1).