源自动量空间非对称对称性的声学高阶拓扑绝缘体
Acoustic higher-order topological insulator from momentum-space nonsymmorphic symmetries
AI总结：
本研究基于动量空间反对易滑移反射，利用声学谐振器阵列圆柱结构实现高阶拓扑绝缘体，观测到内禀与外禀HOTI特征及四极角模式，丰富了相关拓扑物理研究。
摘要：
动量空间非对称对称性源于合成规范场的投影代数，能够改变布里渊区的流形并引发多种拓扑现象。我们提出了一种由一对反对易动量空间滑移反射保护的高阶拓扑绝缘体（HOTIs）的声学实现方案。我们利用由声学谐振器阵列构成的圆柱结构，通过测量边缘带的动量半平移及其动量分辨概率分布，证实了动量空间滑移反射的存在。值得注意的是，我们在该圆柱结构中同时观测到了内禀和外禀的HOTI特征：沿开放边界的跃迁强度变化会导致体带隙闭合，而沿闭合边界的跃迁强度变化则会导致边缘带隙闭合。此外，我们通过透射测量和场分布测量，证实了四极角模式的存在。我们的观测结果丰富了动量空间非对称对称性的拓扑物理学研究。
英文摘要：
Momentum-space nonsymmorphic symmetries, stemming from the projective algebra of synthetic gauge fields, can modify the manifold of the Brillouin zone and lead to a variety of topological phenomena. We present an acoustic realization of higher-order topological insulators (HOTIs) protected by a pair of anticommutative momentum-space glide reflections. We confirm the presence of momentum-space glide reflection from the measured momentum half translation of edge bands and their momentum-resolved probability distribution using a cylinder geometry made of acoustic resonator arrays. In particular, we observe both intrinsic and extrinsic HOTI features in such a cylinder: hopping strength variation along the open boundary leads to a bulk gap closure, while that along the closed boundary results in an edge gap closure. In addition, we confirm the presence of quadrupole corner modes with transmission and field distribution measurements. Our observation enriches the study of topological physics of momentum-space nonsymmorphic symmetries.
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