拓扑力学超材料开口边和反相边界缝处平坦频带的观测
Observation of Flat Frequency Bands at Open Edges and Antiphase Boundary Seams in Topological Mechanical Metamaterials
摘要：
受最近基于Su-Schrieffer-Heeger链的二维手征哈密顿量的理论研究的启发，我们通过实验和计算证明了拓扑平坦频带可以出现在二维平面超材料的开口边缘和环形或管状超材料的反相边界缝处。具体而言，使用磁耦合纺纱机制成的机械系统，我们揭示了存在的边缘或接缝带是平坦的，在整个投影倒易空间如下的预测的基础上的拓扑缠绕数。边缘到边缘的距离敏感地控制边缘带的平坦度和激励的局部化。还观察到分数电荷态的类似物。讨论了在一大类超材料（包括光子晶体和电子超材料）中实现平带的可能性。
英文摘要：
Motivated by the recent theoretical studies on a two-dimensional (2D) chiral Hamiltonian based on the Su-Schrieffer-Heeger chains, we experimentally and computationally demonstrate that topological flat frequency bands can occur at open edges of 2D planar metamaterials and at antiphase boundary seams of ring-shaped or tubular metamaterials. Specifically, using mechanical systems made of magnetically coupled spinners, we reveal that the presence of the edge or seam bands that are flat in the entire projected reciprocal space follows the predictions based on topological winding numbers. The edge-to-edge distance sensitively controls the flatness of the edge bands and the localization of excitations. The analogue of the fractional charge state is also observed. Possible realizations of flat bands in a large class of metamaterials, including photonic crystals and electronic metamaterials, are discussed.
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