论文标题

从特征向量框架旋转的角度来看,二维非亚洲拓扑绝缘子的边缘和角状态

Edge and corner states in 2D non-Abelian topological insulators from an eigenvector frame rotation perspective

论文作者

Jiang, Tianshu, Zhang, Ruo-Yang, Guo, Qinghua, Yang, Biao, Chan, C. T.

论文摘要

我们提出了2D非亚伯拓扑绝缘子的概念,该概念可以解释具有平等时间对称系统系统中边缘状态和角状态的能量分布。从非亚伯式拓扑结构的角度来看,我们在2D Zak阶段和极化上建立了约束。我们证明,某些2D系统中的角状态可以解释为由系统的多波段非亚伯式拓扑产生的1D边缘状态的边界模式。我们还建议使用非对角线浆果阶段作为补充信息,以协助非亚伯式拓扑绝缘体中边缘状态的预测。我们的工作提供了一种研究边缘和角模式的替代方法,可以将这个想法扩展到3D系统。

We propose the concept of 2D non-Abelian topological insulator which can explain the energy distributions of the edge states and corner states in systems with parity-time symmetry. From the viewpoint of non-Abelian band topology, we establish the constraints on the 2D Zak phase and polarization. We demonstrate that the corner states in some 2D systems can be explained as the boundary mode of the 1D edge states arising from the multi-band non-Abelian topology of the system. We also propose the use of off-diagonal Berry phase as complementary information to assist the prediction of edge states in non-Abelian topological insulators. Our work provides an alternative approach to study edge and corner modes and this idea can be extended to 3D systems.

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