论文标题
声学方形拓扑拓扑器
Acoustic square-root topological insulators
论文作者
论文摘要
正方形拓扑状态是新的拓扑阶段，其拓扑特性是从哈密顿广场继承的。我们通过分别在声音晶体上的额外腔内连接了声音的su-schrieffer-heeger模型和蜂窝状晶格，从而实现了音调晶体中的一阶和二阶正方根拓扑拓扑器。由于平方根的过程，平方哈密顿量的宽大差距增加了一倍。在两个散装间隙中，方形拓扑绝缘子具有多种局部模式，即末端和角状态，这显然通过我们的计算和实验观测来证实。我们通过将装饰的蜂窝晶格堆叠到三个维度来进一步提出二阶正方根半学。
Square-root topological states are new topological phases, whose topological property is inherited from the square of the Hamiltonian. We realize the first-order and second-order square-root topological insulators in phononic crystals, by putting additional cavities on connecting tubes in the acoustic Su-Schrieffer-Heeger model and the honeycomb lattice, respectively. Because of the square-root procedure, the bulk gap of the squared Hamiltonian is doubled. In both two bulk gaps, the square-root topological insulators possess multiple localized modes, i.e., the end and corner states, which are evidently confirmed by our calculations and experimental observations. We further propose a second-order square-root topological semimetal by stacking the decorated honeycomb lattice to three dimensions.
