We consider a quantum spin Hall (QSH) insulator strip touching on one s-wave superconductor sandwiched between two ferromagnetic insulators and study its scattering processes, tunneling conductance, and noise power by using an extended Bogoliubov-de Gennes scattering formalism. It is demonstrated that interedge coupling and noncollinear magnetizations allow for producing the usual and novel crossed Andreev reflections (ARs), respectively, and thus the corresponding spin-singlet and -triplet pairing entanglements. Moreover, by proper tuning of the band structures of the ferromagnetic layers, under the resonance bias voltage, not only perfect but also fully spin-polarized crossed AR at any magnetic orientational angle α is exhibited, which can be experimentally confirmed by the tunneling conductance and noise power. Particularly, the perfect and fully spin-polarized modulation between the spin-singlet and -triplet Andreev entanglements could be performed by α at certain energy values, which suggest that the setup can act as a topological superconducting spintronic device with such a manipulation function.

我们考虑了一个量子自旋霍尔（QSH）绝缘体带，该带接触到夹在两个铁磁绝缘体之间的一个s波超导体上，并使用扩展的Bogoliubov-de Gennes散射形式来研究其散射过程，隧穿电导和噪声功率。证明了边缘耦合和非共线磁化分别允许产生通常的和新颖的交叉安德列夫反射（AR），并因此产生了相应的自旋-单重和-三重态配对纠缠。此外，通过在共振偏置电压下适当调节铁磁层的能带结构，不仅在任何磁取向角α下都可以完美地而且完全自旋极化交叉AR。可以通过隧穿电导和噪声功率实验确定。特别地，可以在特定能量值下由α在自旋单态和三重态Andreev纠缠之间实现完美且完全自旋极化的调制，这表明该装置可以用作具有这种操纵功能的拓扑超导自旋电子器件。