and k+(–) is the z component of the wavenumber of an electron (hole) like quasiparticle:
 |
(16) |
In the FM, the solutions can be written in the form
  |
(17) |
where 
is the z-component of the wavenumber of an electron (hole) with spin σ.
 |
(18) |
Figure 19.1: Schematic diagram describing the injection of spin up electron from FM to SC region.
Figure 19.2: Schematic diagram of excitation energy versus momentum at FM – SC interface. Open circles denote holes; filled circles represent electrons, and arrows point in the direction of the group velocity. It demonstrates an incident electron at io, along with the reflected (S1, S2) and transmitted (S3, S4) particles.