Unhinging the Surfaces of Higher-Order Topological Insulators and Superconductors.,Physical Review Letters

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Unhinging the Surfaces of Higher-Order Topological Insulators and Superconductors.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-01-31 , DOI: 10.1103/physrevlett.124.046801
Apoorv Tiwari _{1,

2} , Ming-Hao Li ₃ , B A Bernevig ₄ , Titus Neupert ₁ , S A Parameswaran ₅

Affiliation

We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order topological insulators (HOTIs) and superconductors (HOTSCs) can be gapped while preserving the protecting C_{2n}T symmetry upon the introduction of non-Abelian surface topological order. In both cases, the topological order on a single side surface breaks time-reversal symmetry, but appears with its time-reversal conjugate on alternating sides in a C_{2n}T preserving pattern. In the absence of the HOTI/HOTSC bulk, such a pattern necessarily involves gapless chiral modes on hinges between C_{2n}T-conjugate domains. However, using a combination of K-matrix and anyon condensation arguments, we show that on the boundary of a 3D HOTI/HOTSC these topological orders are fully gapped and hence "anomalous." Our results suggest that new patterns of surface and hinge states can be engineered by selectively introducing topological order only on specific surfaces.

中文翻译：

解开高阶拓扑绝缘子和超导体的表面。

我们显示了三维高阶拓扑绝缘子（HOTIs）和超导体（HOTSCs）中的手性Dirac和Majorana铰链模式可以被引入，同时在引入非阿贝尔表面拓扑顺序时保持保护性C_ {2n} T对称性。在这两种情况下，单个侧面上的拓扑顺序都破坏了时间反转对称性，但在C_ {2n} T保留模式下交替出现的时间反转共轭出现了。在没有HOTI / HOTSC本体的情况下，这种模式必然涉及C_ {2n} T-共轭结构域之间的铰链上的无间隙手性模式。但是，结合使用K矩阵和Anyon凝聚论证，我们证明了在3D HOTI / HOTSC的边界上，这些拓扑顺序是完全空白的，因此是“异常的”。

更新日期：2020-01-27

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