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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
References

1. Wang, K., A. Dutt, K. Y. Yang, C. C. Wojcik, J. Vučković, and S. Fan, "Generating arbitrary topological windings of a non-Hermitian band," Science, Vol. 371, 1240-1245, 2021.
doi:10.1126/science.abf6568

2. Xiao, L., T. Deng, K. Wang, G. Zhu, Z. Wang, W. Yi, and P. Xue, "Non-Hermitian bulk-boundary correspondence in quantum dynamics," Nature Physics, Vol. 16, 761-766, 2020.
doi:10.1038/s41567-020-0836-6

3. Helbig, T., T. Hofmann, S. Imhof, M. Abdelghany, T. Kiessling, L. Molenkamp, C. Lee, A. Szameit, M. Greiter, and R. Thomale, "Generalized bulk-boundary correspondence in non-Hermitian topolectrical circuits," Nat. Phys., Vol. 16, 747-750, 2020.
doi:10.1038/s41567-020-0922-9

4. Longhi, S., "Non-Bloch-band collapse and chiral Zener tunneling," Phys. Rev. Lett., Vol. 124, 066602, 2020.
doi:10.1103/PhysRevLett.124.066602

5. Zhou, D. and J. Zhang, "Non-Hermitian topological metamaterials with odd elasticity," Phys. Rev. Research, Vol. 2, 023173, 2020.
doi:10.1103/PhysRevResearch.2.023173

6. Longhi, S., "Topological phase transition in non-Hermitian quasicrystals," Phys. Rev. Lett., Vol. 122, 237601, 2019.
doi:10.1103/PhysRevLett.122.237601

7. Gao, P., M. Willatzen, and J. Christensen, "Anomalous topological edge states in non-Hermitian piezophononic media," Phys. Rev. Lett., Vol. 125, 206402, 2020.
doi:10.1103/PhysRevLett.125.206402

8. Longhi, S., "Non-bloch PT symmetry breaking in non-Hermitian photonic quantum walks," Opt. Lett., Vol. 44, 5804-5807, 2019.
doi:10.1364/OL.44.005804

9. Deng, K. and B. Flebus, "Non-Hermitian skin effect in magnetic systems,", arXiv:2109.01711, 2021.

10. Braghini, D., L. G. G. Villani, M. I. N. Rosa, and J. R. de F Arruda, "Non-Hermitian elastic waveguides with piezoelectric feedback actuation: Non-reciprocal bands and skin modes," J. Phys. D: Appl. Phys., Vol. 54, 285302, 2021.
doi:10.1088/1361-6463/abf9d9

11. Song, Y., W. Liu, L. Zheng, Y. Zhang, B. Wang, and P. Lu, "Two-dimensional non-Hermitian skin effect in a synthetic photonic lattice," Phys. Rev. Applied, Vol. 14, 064076, 2020.
doi:10.1103/PhysRevApplied.14.064076

12. Yao, S. and Z. Wang, "Edge states and topological invariants of non-Hermitian systems," Phys. Rev. Lett., Vol. 121, 086803, 2018.
doi:10.1103/PhysRevLett.121.086803

13. Zhu, W., W. X. Teo, L. Li, and J. Gong, "Delocalization of topological edge states," Phys. Rev. B, Vol. 103, 195414, 2021.
doi:10.1103/PhysRevB.103.195414

14. Okuma, N., K. Kawabata, K. Shiozaki, and M. Sato, "Topological origin of non-Hermitian skin effects," Phys. Rev. Lett., Vol. 124, 086801, 2020.
doi:10.1103/PhysRevLett.124.086801

15. Zhang, K., Z. Yang, and C. Fang, "Correspondence between winding numbers and skin modes in non-Hermitian systems," Phys. Rev. Lett., Vol. 125, 126402, 2020.
doi:10.1103/PhysRevLett.125.126402

16. Xiao, M., Z. Q. Zhang, and C. T. Chan, "Surface impedance and bulk band geometric phases in one-dimensional systems," Phys. Rev. X, Vol. 4, 021017, 2014.

17. Zak, J., "Berry's phase for energy bands in solids," Phys. Rev. Lett., Vol. 62, 2747-2750, 1989.
doi:10.1103/PhysRevLett.62.2747

18. Yi, Y. and Z. Yang, "Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect," Phys. Rev. Lett., Vol. 125, 186802, 2020.
doi:10.1103/PhysRevLett.125.186802

19. Okugawa, R., R. Takahashi, and K. Yokomizo, "Non-Hermitian band topology with generalized inversion symmetry," Phys. Rev. B, Vol. 103, 205205, 2021.
doi:10.1103/PhysRevB.103.205205

20. Buddhiraju, S., A. Song, G. T. Papadakis, and S. Fan, "Nonreciprocal metamaterial obeying time-reversal symmetry," Phys. Rev. Lett., Vol. 124, 257403, 2020.
doi:10.1103/PhysRevLett.124.257403

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