非欧几何中的p轨道向错态
p-orbital disclination states in non-Euclidean geometries
摘要：
向错是普遍存在于几乎所有晶体材料中的晶格缺陷。在二维纳米材料中，向错导致宿主材料的翘曲和变形，产生非欧几里德几何形状。然而，这样的几何形状从来没有在拓扑现象的背景下进行过实验研究。在这里，通过创建在圆锥形和鞍形声学系统的向错的物理实现，我们证明，向错可以导致拓扑保护的束缚模式在非欧几里德表面。在所设计的蜂窝状声波晶体的p轨道声波，非欧几何相互作用的p轨道物理和带拓扑结构，显示出有趣的新兴功能确认一致的实验和模拟。我们的研究为非欧几里德几何中的拓扑现象开辟了一条道路，这可能会激发未来的研究，例如，弯曲表面纳米材料中的电子和声子。
英文摘要：
Disclinations are ubiquitous lattice defects existing in almost all crystalline materials. In two-dimensional nanomaterials, disclinations lead to the warping and deformation of the hosting material, yielding non-Euclidean geometries. However, such geometries have never been investigated experimentally in the context of topological phenomena. Here, by creating the physical realization of disclinations in conical and saddle-shaped acoustic systems, we demonstrate that disclinations can lead to topologically protected bound modes in non-Euclidean surfaces. In the designed honeycomb sonic crystal for p-orbital acoustic waves, non-Euclidean geometry interplay with the p-orbital physics and the band topology, showing intriguing emergent features as confirmed by consistent experiments and simulations. Our study opens a pathway towards topological phenomena in non-Euclidean geometries that may inspire future studies on, e.g., electrons and phonons in nanomaterials with curved surfaces.
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