Boundary conditions and transmission reflection of electron spin in a quantumwell

摘要

Boundary conditions for a spinor at the interface of hetero- and homobarrier in the presence of spin-orbit interaction are briefly reviewed and generalized. Then they are applied to 2D electron in the presence of a discontinuity of physical parameters in a quantum well. It is shown that in general case under oblique electron incidence, the problem can be solved analytically and the Fresnel-type formulae for polarization can be obtained if, in addition, the Grobner basis algorithm is addressed to solve the problem. It is observed that the transmitted and reflected spin polarization may strongly depend on values of spin-orbit constants on both sides of the homobarrier in the quantum well.