Acoustic higher-order topological insulator from momentum-space nonsymmorphic symmetries

Jinbing Hu, Kai Zhou, Tianle Song, Xuntao Jiang, Songlin Zhuang, Yi Yang
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Abstract

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.
从动量空间非非晶对称性看声学高阶拓扑绝缘体
动量空间非非定常对称性源于合成规量场的投影代数,可以改变布里渊区的流形,并导致各种拓扑现象。我们提出了一种高阶拓扑绝缘体(HOTIs)的声学实现,它受到一对互变动量空间滑行反射的保护。我们利用由声学谐振器阵列构成的气缸几何结构,通过测量边带的动量半平移及其动量分辨概率分布,证实了动量空间滑行反射的存在。特别是,我们在这样的圆柱体中观察到了内在和外在的 HOTI 特征:沿开放边界的跳变强度变化导致了体隙闭合,而沿封闭边界的跳变强度变化则导致了边隙闭合。此外,我们还通过透射和场分布测量证实了四极角模式的存在。我们的观察结果丰富了对动量空间非非对称对称性拓扑物理学的研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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