Anisotropic non-Hermitian skin effect in a two-dimensional Lieb photonic crystal

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Hauptverfasser: Xiong, Zhi-Kang, Wen, Tianlei, Liu, Y., Lin, Hai, Zhou, Bin
Format: Preprint
Veröffentlicht: 2026
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author Xiong, Zhi-Kang
Wen, Tianlei
Liu, Y.
Lin, Hai
Zhou, Bin
author_facet Xiong, Zhi-Kang
Wen, Tianlei
Liu, Y.
Lin, Hai
Zhou, Bin
contents In this contribution paper, we construct a two-dimensional non-Hermitian (NH) photonic crystal (PhC) to prototype its anisotropic non-Hermitian skin effect (NHSE) for experimental proposal. Based on the tight-binding model for Lieb lattice with NH coupling, a nontrivial spectral winding number is pinpointed for certain eigenstates, which translates to geometry-dependent skin modes with tilt boundaries. For ease of implementation, complex refractive indices are employed for the Lieb unit cell of PhC to emulate the NH coupling. Validated by full wave simulation, our work underscores the boundary dependence of skin effect, and provides a concrete prototype design of NHSE implementable by state-of-the-art of topological metamaterial platforms.
format Preprint
id arxiv_https___arxiv_org_abs_2603_19932
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Anisotropic non-Hermitian skin effect in a two-dimensional Lieb photonic crystal
Xiong, Zhi-Kang
Wen, Tianlei
Liu, Y.
Lin, Hai
Zhou, Bin
Optics
Other Condensed Matter
In this contribution paper, we construct a two-dimensional non-Hermitian (NH) photonic crystal (PhC) to prototype its anisotropic non-Hermitian skin effect (NHSE) for experimental proposal. Based on the tight-binding model for Lieb lattice with NH coupling, a nontrivial spectral winding number is pinpointed for certain eigenstates, which translates to geometry-dependent skin modes with tilt boundaries. For ease of implementation, complex refractive indices are employed for the Lieb unit cell of PhC to emulate the NH coupling. Validated by full wave simulation, our work underscores the boundary dependence of skin effect, and provides a concrete prototype design of NHSE implementable by state-of-the-art of topological metamaterial platforms.
title Anisotropic non-Hermitian skin effect in a two-dimensional Lieb photonic crystal
topic Optics
Other Condensed Matter
url https://arxiv.org/abs/2603.19932