I'm reading about giant magnetoresistance (GMR), and the most important feature of this phenomenon is the spin dependance of the electron scattering inside a magnetised lattice. However, I don't quite understand why electrons with spin parallel to the magnetisation (hence, to the majority-spin direction of the electrons) scatter less than those with spin antiparallel to the magnetisation (so, parallel to the minority-spin). I'd appreciate if someone could clear this up for me.
A qualitative explanation is given in this GMR linκ :
If you have access to a library here is a publication on scattering crossections of electrons
In a classical frame I would think of it as electrons with spin antiparallel to the main field would tend to be attracted to the magnetic domains that create the field, and thus slow down, whereas the parallel are repulsed from all sides and could move ahead unimpeded.