论文标题
高阶拓扑绝缘子和具有反转对称性的超级绝缘体中的表面拓扑顺序之间的异常差边界
Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry
论文作者
论文摘要
我们表明，三维高阶拓扑绝缘器和带有反演对称性的超级较高拓扑绝缘体和超级对称性的超级铰链模式或局部零模式的无间隙边界特征可以被掩盖，而不会在非对称的非对称性破裂时引入非阿贝尔表面表面拓扑序列。在每种情况下，出现在表面上的分数模式是“异常”的，因为它只能与三维高阶绝缘子/超导体表面上的对称性保持一致。我们的结果表明，高阶拓扑的相互作用表现是在不同的拓扑顺序之间出现的“异常间隙边界”的出现，这些拓扑秩上列出了，其准粒子通过反转相关，可能与其他保护对称的TRS和电荷保护和电荷保护相关。
We show that the gapless boundary signatures - namely, chiral/helical hinge modes or localized zero modes - of three-dimensional higher-order topological insulators and superconductors with inversion symmetry can be gapped without symmetry breaking upon the introduction of non-Abelian surface topological order. In each case, the fractionalization pattern that appears on surface is `anomalous' in the sense that it can be made consistent with symmetry only on the surface of a three dimensional higher-order insulator/superconductor. Our results show that the interacting manifestation of higher-order topology is the appearance of `anomalous gapped boundaries' between distinct topological orders whose quasiparticles are related by inversion, possibly in conjunction with other protecting symmetries such as TRS and charge conservation.
