论文标题
拓扑结晶超导体的电线构建
Wire Construction of Topological Crystalline Superconductors
论文作者
论文摘要
我们提出了一个统一的框架，以构建和分类拓扑结晶超导体（TCSC）。构建块是仅由现场对称性保护的一维拓扑超导体（TSC），它们在真实空间中被晶体对称性排列和粘合。我们将此真正的空间方案称为“电线构建”，我们表明它的过程可以数学上配制。为了进行说明，我们将受墙纸组保护的Altland-Zirnbauer（AZ）类[1] diii处理以及层组对称性处理，而导致的状态是二维的TCSC。我们还讨论了电线结构的这些真实空间TCSC如何以异常边界状态为特征。我们的方法为TCSC与动量空间图片提供了真实的空间图片。
We present a unified framework to construct and classify topological crystalline superconductors (TCSCs). The building blocks are one-dimensional topological superconductors (TSCs) protected solely by onsite symmetries, which are arranged and glued by crystalline symmetries in real space. We call this real-space scheme "wire construction", and we show its procedure can be formulated mathematically. For illustration, we treat TCSCs of Altland-Zirnbauer (AZ) class[1] DIII protected by wallpaper group as well as layer group symmetries, with the resulting states by wire construction being TCSCs in two-dimension. We also discuss how these real-space TCSCs by wire construction are characterized by anomalous boundary states. Our method provides a real-space picture for TCSCs versus momentum-space pictures.
