Self-consistent model of spin accumulation magnetoresistance in   ferromagnet-insulator-semiconductor tunnel junctions
  Spin accumulation in a paramagnetic semiconductor due to voltage-biased current tunneling from a polarized ferromagnet is experimentally manifest as a small additional spin-dependent resistance. We describe a rigorous model incorporating the necessary self-consistency between electrochemical potential splitting, spin-dependent injection current, and applied voltage that can be used to simulate this so-called "3T" signal as a function of temperature, doping, ferromagnet bulk spin polarization, tunnel barrier features and conduction nonlinearity, and junction voltage bias. 
Ian Appelbaum, Holly N. Tinkey, and Pengke Li
cond-mat.mes-hall cond-mat.other