论文标题

高阶拓扑结构

Higher-order topological band structures

论文作者

Trifunovic, Luka, Brouwer, Piet W.

论文摘要

拓扑和对称性在材料的带结构中的相互作用可能会导致各种晶体边界上不同维度的拓扑状态的模式。这些“高阶”边界状态的保护来自拓扑,对称对称性施加的约束。我们回顾了拓扑结构带结构的宽大对应关系,该结构将散装带结构的拓扑结合到边界状态的模式。此外,讨论了拓扑结晶条带结构的K理论分类的最新进展。

The interplay of topology and symmetry in a material's band structure may result in various patterns of topological states of different dimensionality on the boundary of a crystal. The protection of these "higher-order" boundary states comes from topology, with constraints imposed by symmetry. We review the bulk-boundary correspondence of topological crystalline band structures, which relates the topology of the bulk band structure to the pattern of the boundary states. Furthermore, recent advances in the K-theoretic classification of topological crystalline band structures are discussed.

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