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Peer-reviewedCC BY 4.0New Journal of Physics

Non-Hermitian skin effect and quasiperiodicity-induced localization in a photonic lattice with staggered on-site potentials

  • Jia-Yi Li1
  • Zhi-Xu Zhang2
  • Jie Zhang1
  • Hu Kai-Xin1
  • Wen-Xue Cui1
  • Ji Cao1
  • Hong-Fu Wang1
  1. 1Yanbian University
  2. 2Hubei University of Arts and Science
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Abstract

The quasicrystals combined with nonreciprocal and on-site non-Hermiticity provide a unique platform to explore exceptional phenomena arising from the non-Hermitian skin effect (NHSE). Especially, we investigate a non-Hermitian photonic lattice with nonreciprocal hoppings and staggered
complex on-site potentials, revealing an energy-dependent bipolar NHSE and a quasiperiodicity driven redistribution from skin states to bulk-localized states. Numerical winding numbers and analytical contact conditions reveal the spectral reconnections underlying the bipolar NHSE, with
the sign of the imaginary eigenenergy determining its localization direction. Meanwhile, imaginary quasiperiodic modulation drives a crossover from skin localization to bulk localization, while real and imaginary modulations yield comparable bulk localization at strong modulation. Moreover, Fibonacci-size calculations support persistent skin–bulk coexistence, while a separable two-dimensional extension connects one-dimensional localization directions to corner accumulation and spatial redistribution. These results provide a unified framework for understanding and controlling
the interplay between spectral topology and quasiperiodicity in non-Hermitian photonic systems.

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Cite

BibTeXRIS
BibTeX
@article{li2026nonhermitian,
  title = {{Non-Hermitian skin effect and quasiperiodicity-induced localization in a photonic lattice with staggered on-site potentials}},
  author = {Jia-Yi Li and Zhi-Xu Zhang and Jie Zhang and Hu Kai-Xin and Wen-Xue Cui and Ji Cao and Hong-Fu Wang},
  journal = {New Journal of Physics},
  year = {2026},
  month = oct,
  doi = {10.1088/1367-2630/aebbe3},
  url = {https://iopscience.iop.org/article/10.1088/1367-2630/aebbe3},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Non-Hermitian skin effect and quasiperiodicity-induced localization in a photonic lattice with staggered on-site potentials
AU  - Jia-Yi Li
AU  - Zhi-Xu Zhang
AU  - Jie Zhang
AU  - Hu Kai-Xin
AU  - Wen-Xue Cui
AU  - Ji Cao
AU  - Hong-Fu Wang
PY  - 2026
DA  - 2026/10/30
JO  - New Journal of Physics
DO  - 10.1088/1367-2630/aebbe3
UR  - https://iopscience.iop.org/article/10.1088/1367-2630/aebbe3
AB  - The quasicrystals combined with nonreciprocal and on-site non-Hermiticity provide a unique platform to explore exceptional phenomena arising from the non-Hermitian skin effect (NHSE). Especially, we investigate a non-Hermitian photonic lattice with nonreciprocal hoppings and staggered
complex on-site potentials, revealing an energy-dependent bipolar NHSE and a quasiperiodicity driven redistribution from skin states to bulk-localized states. Numerical winding numbers and analytical contact conditions reveal the spectral reconnections underlying the bipolar NHSE, with
the sign of the imaginary eigenenergy determining its localization direction. Meanwhile, imaginary quasiperiodic modulation drives a crossover from skin localization to bulk localization, while real and imaginary modulations yield comparable bulk localization at strong modulation. Moreover, Fibonacci-size calculations support persistent skin–bulk coexistence, while a separable two-dimensional extension connects one-dimensional localization directions to corner accumulation and spatial redistribution. These results provide a unified framework for understanding and controlling
the interplay between spectral topology and quasiperiodicity in non-Hermitian photonic systems.
SN  - 1367-2630
ER  -