Non-Hermitian corner skin effect in a two-dimensional photonic crystal

Fuente: arXiv
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Auteurs principaux: Phan, Huyen Thanh, Wakabayashi, Katsunori
Format: Preprint
Publié: 2026
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author Phan, Huyen Thanh
Wakabayashi, Katsunori
author_facet Phan, Huyen Thanh
Wakabayashi, Katsunori
contents We numerically study topological effects of electromagnetic (EM) waves in a two-dimensional (2D) non-Hermitian photonic crystal (PhC) composed of lossy magneto-optical materials. In this system, not only the EM wavefunctions but also the complex eigenfrequencies exhibit nontrivial topological properties. We demonstrate that the non-Hermitian skin effect, protected by point gaps in the complex eigenfrequency spectrum, emerges at both the edges and corners of truncated structures. This phenomenon has no counterpart in Hermitian systems. In addition, we identify non-Hermitian topological edge states originating from the nontrivial topology of the bulk bands. While most previous studies of non-Hermitian topology have focused on tight-binding models, our work addresses a continuous photonic system, providing a more realistic platform and offering a concrete route toward experimental realization of non-Hermitian effects.
format Preprint
id arxiv_https___arxiv_org_abs_2604_23209
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Non-Hermitian corner skin effect in a two-dimensional photonic crystal
Phan, Huyen Thanh
Wakabayashi, Katsunori
Optics
Mesoscale and Nanoscale Physics
Materials Science
We numerically study topological effects of electromagnetic (EM) waves in a two-dimensional (2D) non-Hermitian photonic crystal (PhC) composed of lossy magneto-optical materials. In this system, not only the EM wavefunctions but also the complex eigenfrequencies exhibit nontrivial topological properties. We demonstrate that the non-Hermitian skin effect, protected by point gaps in the complex eigenfrequency spectrum, emerges at both the edges and corners of truncated structures. This phenomenon has no counterpart in Hermitian systems. In addition, we identify non-Hermitian topological edge states originating from the nontrivial topology of the bulk bands. While most previous studies of non-Hermitian topology have focused on tight-binding models, our work addresses a continuous photonic system, providing a more realistic platform and offering a concrete route toward experimental realization of non-Hermitian effects.
title Non-Hermitian corner skin effect in a two-dimensional photonic crystal
topic Optics
Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2604.23209