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Higher-order topological states in photonic kagome crystals with long-range interactions
Nature Photonics ( IF 35.0 ) Pub Date : 2019-12-09 , DOI: 10.1038/s41566-019-0561-9
Mengyao Li , Dmitry Zhirihin , Maxim Gorlach , Xiang Ni , Dmitry Filonov , Alexey Slobozhanyuk , Andrea Alù , Alexander B. Khanikaev

Photonic topological insulators enable topological boundary modes that are resilient to defects and disorder, irrespective of manufacturing precision. This property is known as topological protection. Although originally limited to dimensionality of modes one lower than that of topological insulators, the recently discovered higher-order topological insulators (HOTIs) offer topological protection over an extended range of dimensionalities. Here, we introduce a photonic HOTI with kagome lattice that exhibits topological bulk polarization, leading to the emergence of one-dimensional edge states, as well as higher-order zero-dimensional states confined to the corners of the structure. Interestingly, in addition to the corner states due to nearest-neighbour interactions, we discover a new class of topological corner states induced by long-range interactions and specific to photonic systems. Our findings demonstrate that photonic HOTIs possess richer physics than their condensed-matter counterparts, offering opportunities for engineering novel designer electromagnetic states with unique topological robustness.



中文翻译:

具有长程相互作用的光子kagome晶体中的高阶拓扑状态

光子拓扑绝缘体可以实现对缺陷和无序具有弹性的拓扑边界模式,而与制造精度无关。此属性称为拓扑保护。尽管最初只限于比拓扑绝缘子低一阶的模态维数,但最近发现的高阶拓扑绝缘子(HOTI)在扩展的维数范围内提供了拓扑保护。在这里,我们介绍了具有kagome晶格的光子HOTI,它表现出拓扑体极化,从而导致一维边缘态以及局限在结构拐角处的高阶零维态的出现。有趣的是,除了由于最近邻居互动而导致的边角状态外,我们发现了由远程相互作用引起的一类新的拓扑角状态,并且特定于光子系统。我们的发现表明,光子HOTI比其凝聚态对应物具有更丰富的物理特性,从而为具有新颖的拓扑鲁棒性的工程新颖的设计器电磁态提供了机会。

更新日期:2019-12-11
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