L7PA Introduction to Spintronics: Spin Transfer and Spin Pumping

[@ivargun]

Hi Aurelien. Thank you for a wonderful lecture. You sometimes treat the divergence of the spin current not as a scalar, but as a vector (e.g. taking the cross product with the magnetization). How exactly can this be?

[@aurelienmanchon5966]

The spin current is a tensor in both spin and real spaces. The divergence is only taken in real space, so you end up with a vector in spin space.