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PreprintCC BY 4.0arXiv

Non-Hermitian Skin Effect from Radiative Coupling in a Reciprocal Chiral Medium

Abstract

We show that long-range radiative coupling in a passive chiral medium produces an unusual non-Hermitian skin effect in a chain of dipoles. The skin-mode profile consists of a long-range light-line branch-cut contribution, a non-exponential factor 1/[n(ln n)2] with n being the site number. Finite-chain calculations show that part of the open-boundary spectrum contracts toward the Bloch spectrum, whereas the number of boundary-localized modes remains extensive. The retarded radiative coupling makes both the real-space profile and the finite-size spectral signatures of boundary localization depart from standard finite-range and pure exponential coupling theory.

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BibTeX
@misc{fung2026nonhermitian,
  title = {{Non-Hermitian Skin Effect from Radiative Coupling in a Reciprocal Chiral Medium}},
  author = {Kin Hung Fung and Changhao Meng and Yixin Xiao and C. T. Chan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.26705},
  eprint = {2608.26705},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.26705},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Non-Hermitian Skin Effect from Radiative Coupling in a Reciprocal Chiral Medium
AU  - Kin Hung Fung
AU  - Changhao Meng
AU  - Yixin Xiao
AU  - C. T. Chan
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2608.26705
UR  - https://arxiv.org/abs/2608.26705
AB  - We show that long-range radiative coupling in a passive chiral medium produces an unusual non-Hermitian skin effect in a chain of dipoles. The skin-mode profile consists of a long-range light-line branch-cut contribution, a non-exponential factor 1/[n(ln n)^2] with n being the site number. Finite-chain calculations show that part of the open-boundary spectrum contracts toward the Bloch spectrum, whereas the number of boundary-localized modes remains extensive. The retarded radiative coupling makes both the real-space profile and the finite-size spectral signatures of boundary localization depart from standard finite-range and pure exponential coupling theory.
ER  -