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arXiv 2102.00619physics.optics
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一种具有非常规高阶拓扑结构的全介质光子晶体

An all-dielectric photonic crystal with unconventional higher-order topology

Shiqiao Wu, Bin Jiang, Yang Liu, Jian-Hua Jiang

摘要:

光子晶体已被证明是研究拓扑现象的通用平台。最近发现的高阶拓扑绝缘体引入了拓扑光子晶体的新方面,这是有待探索。在这里,我们提出了一种非常规的高阶能带拓扑的介质光子晶体。拓扑能带理论预测,在高阶拓扑绝缘体的角边界上,除了具有带隙边缘态和带隙角态的传统光谱特征外,还具有2/3的分数电荷。我们证明了在光子晶体中,这样的分数电荷可以通过光子的局域态密度来验证,通过局域谱电荷的概念来模拟电子系统中由于带填充异常而引起的局域电荷。此外,我们发现,通过引入一个向错在拟议的光子晶体,局域态和2/3分数光谱电荷出现在向错核心周围,作为体向错对应的表现。预测的效果可以很容易地观察到在国家的最先进的实验,并可能导致潜在的应用集成和量子光子学。

英文摘要:

Photonic crystals have been demonstrated as a versatile platform for the study of topological phenomena. The recent discovery of higher order topological insulators introduces new aspects of topological photonic crystals which are yet to be explored. Here, we propose a dielectric photonic crystal with unconventional higher order band topology. Besides the conventional spectral features of gapped edge states and in gap corner states, topological band theory predicts that the corner boundary of the higher-order topological insulator hosts a 2/3 fractional charge. We demonstrate that in the photonic crystal such a fractional charge can be verified from the local density of states of photons, through the concept of local spectral charge as an analog of the local electric charge due to band filling anomaly in electronic systems. Furthermore, we show that by introducing a disclination in the proposed photonic crystal, localized states and a 2/3 fractional spectral charge emerge around the disclination core, as the manifestation of the bulk disclination correspondence. The predicted effects can be readily observed in the state-of-the-art experiments and may lead to potential applications in integrated and quantum photonics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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