Topological edge states have crucial applications in nano spintronics and valleytronics devices, while topological inner-edge states have seldom been extensively researched in this field. Based on the inner-edge states of the hybridized zigzag silicene-like nanoribbons (ZSiNRs), we investigate their transport properties. We propose two types of spin-valley filters. The first type can generate two different spin-valley polarized currents in output leads, respectively. The second type outputs the specific spin-valley polarized current in only one of the output leads. All these inner-edge states have the spin-valley-momentum locking property. These types of filters can switch the output spin-valley polarizations by modulating the external fields. Besides, we also find that the device size plays a crucial role in designing these spin-valley filters. Moreover, the local current distributions are calculated to visualize the detailed transport process and understand the mechanism. The mechanism lies that the spin-valley polarized current can nearly freely pass through the system with the same momentum, spin and valley degrees of freedom. The small reflection of the current results from the inter-valley scattering. In particular, we also consider the realistic (disorder) effects on the performance of these filters to ensure the robustness of our systems. We believe these spin-valley current filtering effects have potential applications in the future spintronics and valleytronics device designs.

中文翻译：

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基于杂化类硅烯纳米带的拓扑自旋谷过滤效应

拓扑边缘态在纳米自旋电子学和谷电子学器件中具有重要的应用，而拓扑内边缘态在该领域很少被广泛研究。基于杂化之字形硅烯类纳米带（ZSiNRs）的内边缘状态，我们研究了它们的传输特性。我们提出了两种类型的自旋谷滤波器。第一种类型可以分别在输出引线中产生两种不同的自旋谷极化电流。第二种类型仅在一个输出引线中输出特定的自旋谷极化电流。所有这些内边缘状态都具有自旋谷动量锁定特性。这些类型的滤波器可以通过调制外部场来切换输出自旋谷极化。此外，我们还发现器件尺寸在设计这些自旋谷滤波器中起着至关重要的作用。此外，计算局部电流分布以可视化详细的传输过程并了解其机制。其机制在于自旋谷极化电流几乎可以自由地通过系统，具有相同的动量、自旋和谷自由度。电流的小反射是由谷间散射引起的。特别是，我们还考虑了对这些滤波器性能的现实（无序）影响，以确保我们系统的鲁棒性。我们相信这些自旋谷电流滤波效应在未来的自旋电子学和谷电子学器件设计中具有潜在的应用。其机制在于自旋谷极化电流几乎可以自由地通过系统，具有相同的动量、自旋和谷自由度。电流的小反射是由谷间散射引起的。特别是，我们还考虑了对这些滤波器性能的现实（无序）影响，以确保我们系统的鲁棒性。我们相信这些自旋谷电流滤波效应在未来的自旋电子学和谷电子学器件设计中具有潜在的应用。其机制在于自旋谷极化电流几乎可以自由地通过系统，具有相同的动量、自旋和谷自由度。电流的小反射是由谷间散射引起的。特别是，我们还考虑了对这些滤波器性能的现实（无序）影响，以确保我们系统的鲁棒性。我们相信这些自旋谷电流滤波效应在未来的自旋电子学和谷电子学器件设计中具有潜在的应用。