The band structure and the topological property of the silicene-like nanoribbon (SiNR) can be regulated by external fields. The hybrization of SiNRs regulated by external fields may generate some special spin/valley properties of the inner-edge states. In this paper, we introduce three external fields: staggered electric field, antiferromagnetic exchange field and Haldane light field in SiNR systems. We analyze the hybridizations of the two and three SiNRs with two adjacent nanoribbons in different topological states, which generate the inner-edge states with some spin and valley properties. These hybrid systems may be used as the spin filter and spin-valley filter. We give the systematical and detailed investigations on these inner-edge-state spin and spin-valley filter properties for these hybrid SiNR systems. Especially for the hybrid three-ribbon systems, we consider the case only with the inner-edge states. Furthermore, we observe that the inner-edge state is robust against...

中文翻译：

---

自旋和自旋谷滤光片分析杂化硅状纳米带内边缘态

可以通过外部场调节类硅碳纳米带（SiNR）的能带结构和拓扑性质。受外场调节的SiNRs的杂化可能会产生内边缘态的某些特殊自旋/谷属性。在本文中，我们介绍了三个外部场：SiNR系统中的交错电场，反铁磁交换场和Haldane光场。我们分析了两个和三个SiNRs与处于不同拓扑状态的两个相邻纳米带的杂交，这些杂交产生了具有一些自旋和谷特性的内边缘状态。这些混合系统可用作自旋滤波器和自旋谷值滤波器。我们对这些混合SiNR系统的这些内边缘态自旋和自旋谷滤波器特性进行了系统和详细的研究。特别是对于混合三色带系统，我们仅考虑内边缘状态。此外，我们观察到内边缘状态对于...具有很强的抵抗力。