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PIER PIER B PIER C PIER M PIER Letters
2021-12-24
Non-Hermitian Skin Effect and Delocalized Edge States in Photonic Crystals with Anomalous Parity-Time Symmetry
By
Qinghui Yan,

    Dr. Qinghui Yan

    The Electromagnetics Academy at Zhejiang University

    Zhejiang University

    China

    Homepage

Hongsheng Chen,

    Professor Hongsheng Chen

    The Electromagnetics Academy at Zhejiang Unviersity

    Zhejiang University

    China

    Homepage

Yihao Yang

    Dr. Yihao Yang

    The Electromagnetics Academy at Zhejiang University

    Zhejiang University

    China

    Homepage

Progress In Electromagnetics Research, Vol. 172, 33-40, 2021
doi:10.2528/PIER21111602
Abstract
Non-Hermitian skin effect denotes the exponential localization of a large number of eigen-states at boundaries in a non-Hermitian lattice under open boundary conditions. Such a non-Hermiticity-induced skin effect can offset the penetration depth of in-gap edge states, leading to counterintuitive delocalized edge modes, which have not been studied in a realistic photonic system such as photonic crystals. Here, we analytically reveal the non-Hermitian skin effect and the delocalized edge states in Maxwell's equations for non-Hermitian chiral photonic crystals with anomalous parity-time symmetry. Remarkably, we rigorously prove that the penetration depth of the edge states is inversely proportional to the frequency and the real part of the chirality. Our findings pave a way towards exploring novel non-Hermitian phenomena and applications in continuous Maxwell's equations.
Citation
Qinghui Yan, Hongsheng Chen, and Yihao Yang, "Non-Hermitian Skin Effect and Delocalized Edge States in Photonic Crystals with Anomalous Parity-Time Symmetry," Progress In Electromagnetics Research, Vol. 172, 33-40, 2021.
doi:10.2528/PIER21111602
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