• Photonics Research
  • Vol. 9, Issue 5, 668 (2021)
Shiqiao Wu1、2, Bin Jiang1、2, Yang Liu1、2, and Jian-Hua Jiang1、2、3、*
Author Affiliations
  • 1School of Physical Science and Technology, Soochow University, Suzhou 215006, China
  • 2Collaborative Innovation Center of Suzhou Nano Science and Technology, Suzhou 215006, China
  • 3Key Lab of Advanced Optical Manufacturing Technologies of Jiangsu Province and Key Lab of Modern Optical Technologies of Ministry of Education of China, Soochow University, Suzhou 215006, China
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    DOI: 10.1364/PRJ.418689 Cite this Article Set citation alerts
    Shiqiao Wu, Bin Jiang, Yang Liu, Jian-Hua Jiang. All-dielectric photonic crystal with unconventional higher-order topology[J]. Photonics Research, 2021, 9(5): 668 Copy Citation Text show less

    Abstract

    Photonic crystals (PhCs) 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 PhCs that are yet to be explored. Here, we propose an all-dielectric PhC with an 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 PhC 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 the band filling anomaly in electronic systems. Furthermore, we show that by introducing a disclination in the proposed PhC, localized states and a 2/3 fractional spectral charge emerge around the disclination core. The emergence of the fractional spectral charges and topological boundary modes here, however, is distinct from the known cases; particularly by the 2/3 fractional spectral charges and the unique topological indices. 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.
    χ(6)=(χM,χK).

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    Qc=(14χM+16χK)mod1.

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    Qp=0fgapdfp-thU.C.drρ(f,r),

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    ρ(f,r)=iΓπ[Γ2+(ffi)2]|ψi(r)|2.

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    |ψi(r)|2=ε(r)|Ez,i(r)|2,

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    Qdis=Ω2π(32χMχK)mod1,

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    Shiqiao Wu, Bin Jiang, Yang Liu, Jian-Hua Jiang. All-dielectric photonic crystal with unconventional higher-order topology[J]. Photonics Research, 2021, 9(5): 668
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