The simulation shows spin precession propagating across a 2D lattice as a spin wave, letting you compare how the dispersion relation and group velocity change between ferromagnetic (quadratic, single-branch) and antiferromagnetic (linear, two-branch) exchange coupling.
Toggle between ferromagnetic and antiferromagnetic exchange coupling and adjust the coupling-strength slider to see the dispersion curve reshape and the visible spin-wave group velocity change accordingly.
Toggle for ferromagnetic/antiferromagnetic order plus a slider for exchange coupling strength
The quadratic ferromagnetic magnon dispersion directly explains Bloch's T-to-the-three-halves law, the observed temperature dependence by which a ferromagnet's magnetization decreases as temperature rises from absolute zero.
The simulation shows spin precession propagating across a 2D lattice as a spin wave, letting you compare how the dispersion relation and group velocity change between ferromagnetic (quadratic, single-branch) and antiferromagnetic (linear, two-branch) exchange coupling.
The simulation shows spin precession propagating across a 2D lattice as a spin wave, letting you compare how the dispersion relation and group velocity change between ferromagnetic (quadratic, single-branch) and antiferromagnetic (linear, two-branch) exchange coupling.
Toggle between ferromagnetic and antiferromagnetic exchange coupling and adjust the coupling-strength slider to see the dispersion curve reshape and the visible spin-wave group velocity change accordingly.
The quadratic ferromagnetic magnon dispersion directly explains Bloch's T-to-the-three-halves law, the observed temperature dependence by which a ferromagnet's magnetization decreases as temperature rises from absolute zero.