论文标题
在线条晶格中脆弱的拓扑，带有两个，三个或四个间隙的平坦带
Fragile topology in line-graph lattices with two, three, or four gapped flat bands
论文作者
论文摘要
晶格的几何特性可能会对其带谱产生深远的影响。例如，对称约束和几何挫败感会分别导致拓扑非平地和无分散带。线条图形是这两个特征的一个完美例子：它们的最低能带非常平坦，在这里，我们开发了一种形式主义，可以将其某些几何特性与平坦波段中脆弱的拓扑结合在一起。这项理论工作将在几种类型的线条晶格中对脆弱拓扑的实验研究，最自然地适合于超导电路。
The geometric properties of a lattice can have profound consequences on its band spectrum. For example, symmetry constraints and geometric frustration can give rise to topologicially nontrivial and dispersionless bands, respectively. Line-graph lattices are a perfect example of both of these features: their lowest energy bands are perfectly flat, and here we develop a formalism to connect some of their geometric properties with the presence or absence of fragile topology in their flat bands. This theoretical work will enable experimental studies of fragile topology in several types of line-graph lattices, most naturally suited to superconducting circuits.
