PARTIAL HOMOGENIZATION OF THE DIFFUSION EQUATION WITH A DIRAC-LIKE POTENTIAL

2020 ◽  
Vol 18 (5) ◽  
pp. 507-518
Author(s):  
Latifa Ait Mahiout ◽  
Gregory P. Panasenko ◽  
Vitaly Volpert
Keyword(s):  
Diffusion Equation

Incoherent spin current

2017 ◽  
Author(s):  
K. Ando ◽  
E. Saitoh
Keyword(s):  
Diffusion Equation ◽  
Spin Density ◽  
Spin Diffusion ◽  
Spin Injection ◽  
Spin Current ◽  
Ferromagnetic Semiconductor ◽  
Electrochemical Potential ◽  
Semiconductor Interface ◽  
Interface Resistance ◽  
Inhomogeneous Spin

This chapter introduces the concept of incoherent spin current. A diffusive spin current can be driven by spatial inhomogeneous spin density. Such spin flow is formulated using the spin diffusion equation with spin-dependent electrochemical potential. The chapter also proposes a solution to the problem known as the conductivity mismatch problem of spin injection into a semiconductor. A way to overcome the problem is by using a ferromagnetic semiconductor as a spin source; another is to insert a spin-dependent interface resistance at a metal–semiconductor interface.

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