论文标题

通过滑行反射对称晶体界面引导的拓扑波

Topological waves guided by a glide-reflection symmetric crystal interface

论文作者

Martínez, Julio Andrés Iglesias, Laforge, Nicolas, Kadic, Muamer, Laude, Vincent

论文摘要

分隔相同晶体的两个不同拓扑阶段的域壁可以支撑反向散射的免疫引导波的传播。在山谷霍尔和量子孔晶体波导中,该特性源于对称性保护,并源于狄拉克点的拓扑过渡。由于最初封闭的带隙必须打开,因此与宽带隙晶体相比,引导带宽仍然有限。当在2D晶体中引入滑行对称位错时,我们表明一对宽带宽度,单模和对称性保护的引导波出现在散装带隙中。 2D Zak相在界面的两侧变化$π$,从而在布里群区域的X点上提供了受Glide反射对称性保护的拓扑不变的。在超声波频率下用声波在水中的声波进行了演示实验,并显示了透射率随着滑动参数的函数的连续调整。该概念进一步扩展到其他类型的波,包括固体中的弹性波,以及光学和电磁波的情况。

A domain wall separating two different topological phases of the same crystal can support the propagation of backscattering-immune guided waves. In valley-Hall and quantum-Hall crystal waveguides, this property stems from symmetry protection and results from a topological transition at a Dirac point. Since an initially closed band gap has to open, the guidance bandwidth remains limited compared to that of wide band gap crystals. When a glide-symmetric dislocation is introduced in a 2D crystal, we show that a pair of wide-bandwidth, single-mode, and symmetry-protected guided waves appear in the bulk band gap. The 2D Zak phase changes by $π$ on either side of the interface, providing a topological invariant protected by glide-reflection symmetry at the X point of the Brillouin zone. A demonstration experiment is performed with acoustic waves in water, at ultrasonic frequencies, and shows the continuous tuning of transmission as a function of the glide parameter. The concept further extends to other types of waves, including the case of elastic waves in solids, but also of optical and electromagnetic waves.

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