论文标题
十二型准晶体中的高阶拓扑绝缘子
Higher-Order topological insulator in a dodecagonal quasicrystal
论文作者
论文摘要
高阶拓扑绝缘子（HOTIS）是一类新发现的拓扑绝缘子，它们表现出非常规散装的对应关系。最近，HOTIS的概念已扩展到多齿的准晶体系统，在该系统中，拓扑结构理论无法描述拓扑阶段。更重要的是，在Ammann-Beenker瓷砖准晶体中鉴定出了由八倍旋转对称性保护的新型热相。在这里，我们报告了在十二型准晶体中发现的准晶体hoti。准晶Hoti支持十二个内零能量模式，对称分布在准晶道的拐角处。这些零能量的角模式通过十二折旋转对称性和镜子对称性以及没有晶体对称的粒子对称性的组合来保护。
Higher-order topological insulators (HOTIs) are a newly discovered class of topological insulators which exhibit unconventional bulk-boundary correspondence. Very recently, the concept of HOTIs has been extended to aperiodic quasicrystalline systems, where the topological band theory fails to describe topological phases. More importantly, a novel HOTI phase protected by an eightfold rotational symmetry, not found in crystalline materials, was identified in the Ammann-Beenker tiling quasicrystals. Here we report the discovery of a quasicrystalline HOTI in a dodecagonal quasicrystal. The quasicrystalline HOTI supports twelve in-gap zero-energy modes symmetrically distributed at the corners of the quasicrystal dodecagon. These zero-energy corner modes are protected by a combination of a twelvefold rotational symmetry and mirror symmetry, as well as particle-hole symmetry, which has no crystalline counterpart.
