That is a loaded question, when you say Terahertz Spintronics I assume you are talking about using THz pulses to produce spin currents. In this case in a Ferromagnet/Normal Metal heterostructure, a pulsed laser is used to promotes electrons from below the Fermi energy to bands above it, due to the fact that ferromagnets have majority and minority energy bands a transport of spin polarization i.e a spin current will be inject into the adjacent layer, for a more details I recommend the following article "Nature Nanotech 8, 256–260 (2013)". https://doi.org/10.1038/nnano.2013.43
An alternative meaning to THz Spintronics is the energy dispersion/dispersion relation of Antiferromagnets (AFM) (and in some cases some Ferrimagnets), depending on the anisotropies of an AFM you can have spin waves propagating at THz frequencies, experimentally it is possible to probe some points of the Brillouin zone with Brillouin/Raman light scattering with neutron scattering and with antiferromagnetic resonance although the last one need really high magnetic fields. For more details I recommend the following book "Fundamentals of Magnonics" chapter 5.
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