Twisted Quadrupole Topological Photonic Crystals,Laser & Photonics Reviews

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Twisted Quadrupole Topological Photonic Crystals
Laser & Photonics Reviews ( IF 9.8 ) Pub Date : 2020-06-29 , DOI: 10.1002/lpor.202000010
Xiaoxi Zhou ₁ , Zhi‐Kang Lin ₁ , Weixin Lu ₁ , Yun Lai ₂ , Bo Hou ₁ , Jian‐Hua Jiang ₁

Affiliation

Topological manipulation of waves is at the heart of cutting‐edge metamaterial research. Quadrupole topological insulators were recently discovered in 2D flux‐threading lattices that exhibit higher‐order topological wave trapping at both the edges and corners. Photonic crystals (PhCs), lying at the boundary between continuous media and discrete lattices, however, are incompatible with the present quadrupole topological theory. Here, quadrupole topological PhCs triggered by a twisting degree‐of‐freedom are unveiled. Using a topologically trivial PhC as the motherboard, it is shown that twisting induces quadrupole topological PhCs without flux‐threading. The twisting‐induced crystalline symmetry enriches the Wannier polarizations and leads to the anomalous quadrupole topology. Versatile edge and corner phenomena are observed by controlling the twisting angles in a lateral heterostructure of 2D PhCs. This study paves the way toward topological twist photonics as well as the quadrupole topology in the quasi‐continuum regime for phonons and polaritons.

中文翻译：

扭曲的四极拓扑光子晶体

波的拓扑处理是尖端超材料研究的核心。最近在二维磁通螺纹晶格中发现了四极拓扑绝缘子，该二维绝缘子在边缘和拐角处都表现出更高阶的拓扑波陷阱。然而，位于连续介质和离散晶格之间的边界的光子晶体（PhC）与当前的四极拓扑理论不兼容。在这里，揭示了由扭曲自由度触发的四极拓扑PhC。使用拓扑无关紧要的PhC作为母板，可以看出，扭曲会产生四极拓扑PhC，而没有助焊剂螺纹。扭曲诱导的晶体对称性丰富了Wannier极化，并导致异常的四极拓扑。通过控制2D PhC的横向异质结构中的扭曲角度，可以观察到多种多样的边缘和拐角现象。本研究为声子和极化子的准连续谱体系中的拓扑扭曲光子学和四极拓扑学铺平了道路。

更新日期：2020-06-29

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