论文标题
在两个二维区域之间有和没有自旋轨道相互作用的两个二维区域之间的电子自旋的反射和折射
Reflection and refraction of an electron spin at the junction between two two-dimensional regions with and without spin-orbit interaction
论文作者
论文摘要
我们从准二维培养基中得出了电子自旋入射的反射和折射法，而另一种介质与Rashba和Dresselhaus Spin-Orbit的相互作用均仅使用能量节约。我们获得了一个众所周知的结果，即在一个入射角，通常可以在折射介质中有两个不同的折射角，以折射到两个自旋特征符号中，从而导致两个不同的“自旋折射率”和两个临界角度进行总内部反射。我们得出自旋折射率的表达式，对于给定培养基而言，这不是恒定的，而取决于入射电子能量。如果折射培养基中电子的有效质量大于发射介质中的有效质量，那么我们表明，对于某些入射电子能和界面处的潜在屏障，发射培养基的自旋折射率可以在折射培养基的两个自旋折射率之间，仅产生一个关键角度。在这种情况下，如果入射角超过该临界角，则可以在折射培养基中仅发生折射成一个旋转本征态。如果该系统是为实现这一目标而设计的，则可以将非常高的自旋注入到折射介质中。 The amplitudes of reflection of the incident spin into its own spin eigenstate and the orthogonal spin eigenstate (due to spin flip at the interface), as well as the refraction amplitudes into the two spin eigenstates in the refraction medium are derived for an incident electron (with arbitrary spin polarization and incident energy) as a function of the angle of incidence.
We derive the reflection and refraction laws for an electron spin incident from a quasi-two-dimensional medium with no spin-orbit interaction on another with both Rashba and Dresselhaus spin-orbit interaction using only energy conservation. We obtain the well-known result that for an incident angle, there can be generally two different refraction angles for refraction into the two spin eigenstates in the refraction medium, resulting in two different 'spin refractive indices' and two critical angles for total internal reflection. We derive expressions for the spin refractive indices, which are not constant for a given medium but depend on the incident electron's energy. If the effective mass of an electron in the refraction medium is larger than that in the incidence medium, then we show that for some incident electron energies and potential barrier at the interface, the spin refractive index of the incidence medium can lie between the two spin refractive indices of the refraction medium, resulting in only one critical angle. In that case, if the incident angle exceeds that critical angle, then refraction can occur into only one spin eigenstate in the refraction medium. If the system is engineered to make this happen, then it will be possible to obtain a very high degree of spin-polarized injection into the refraction medium. The amplitudes of reflection of the incident spin into its own spin eigenstate and the orthogonal spin eigenstate (due to spin flip at the interface), as well as the refraction amplitudes into the two spin eigenstates in the refraction medium are derived for an incident electron (with arbitrary spin polarization and incident energy) as a function of the angle of incidence.
