论文标题

拓扑性手性边缘上的无形平坦带

Invisible flat bands on a topological chiral edge

论文作者

Xu, Youjiang, Titvinidze, Irakli, Hofstetter, Walter

论文摘要

我们证明,与单粒子绿色功能的零相关的无形频段无处不在,在2D Chern绝缘子的拓扑接口处存在,对手性边缘/域壁模式双重。我们使用真实的空间动力学场理论来研究其铁磁基态的域壁。此外,我们的数值结果表明,由于相互作用,手性模式被分为分支,并且分支通过无形的扁平带连接。我们的工作为相互作用的拓扑系统提供了更深入的见解。

We prove that invisible bands associated with zeros of the single-particle Green's function exist ubiquitously at topological interfaces of 2D Chern insulators, dual to the chiral edge/domain-wall modes. We verify this statement in a repulsive Hubbard model with a topological flat band, using real-space dynamical mean-field theory to study the domain walls of its ferromagnetic ground state. Moreover, our numerical results show that the chiral modes are split into branches due to the interaction, and that the branches are connected by invisible flat bands. Our work provides deeper insight into interacting topological systems.

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