论文标题
SNTE材料类中的双边界和双晶格的拓扑电子结构
Topological electronic structure of twin boundaries and twinning superlattices in the SnTe material class
论文作者
论文摘要
基于SNTE材料类别的单个双边界和相干双晶格（TSL）的拓扑电子结构是在超级细胞实现中计算和讨论的。超级晶格由排列的超级电池中的两个双平面（TPS）组成，以使每个边界形成整个结构的镜面平面。可以存在两种类型的TP边界，阳离子和阴离子，因此可以构建三种类型的超级电池。我们使用紧密结合近似和计算拓扑不变性研究每个孪生构型的拓扑阶段。我们表明它们因拓扑特性而有所不同。我们发现，由于TSLS Brillouin区域的$ \ Mathrm {γ} $点，全阵容在拓扑上与阴离子情况不同。我们的发现与对Zeeman场的存在的（111）面向（111）面向单个双边界的互补分析一致。它们还与超级晶格和板的自旋极式狄拉克状边缘的数量一致。我们得出的结论是，每种类型的TP形成了2D镜面保护拓扑结晶绝缘子。
The topological electronic structure of a single twin boundary and coherent twinning superlattices (TSLs) based on the SnTe class of material is calculated and discussed within a supercell implementation. The superlattices consist of two twin planes (TPs) in the supercell arranged in such a way that each of the boundaries forms a mirror plane for the entire structure. Two types of TP boundary, cationic and anionic, can exist, and so three types of supercells can be constructed. We study the topological phases of each twinning configuration using the tight-binding approximation and calculating the topological invariants. We show that they differ by topological properties. We find that all-cationic TSLs are topologically distinct from the anionic case due to the opposite sign of the Berry curvature around the $ \mathrm{ Γ} $ point of the TSLs Brillouin Zone. Our findings are consistent with a complementary analysis of (111)-oriented slabs with a single twin boundary in the presence of the Zeeman field. They are also consistent with the number of spin-polarized Dirac-like edge states of both superlattices and slabs. We conclude that each type of TP forms the 2D mirror-plane-protected topological crystalline insulator.
