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PreprintCC BY-NC-ND 4.0arXiv

Dynamical transition in non-Hermitian Chern insulator

Abstract

We unveil a peculiar dynamical transition for the propagation of wave packets in non-Hermitian Chern insulators, where the evolution of the topological wave packets at the edge is not solely determined by the topological Chern number. Unlike the Hermitian Chern insulator, where a wave packet initiated at the edge propagates along the system boundary, here it may instead penetrate into the bulk. This behavior is attributed to the competition between the localization induced by conventional topology and the non-Hermitian skin effect. Specifically, when the former dominant, the wave packet will evolve along the boundary; otherwise, it will spread into the bulk. These features demonstrate that while the generalized-Brillouin zone framework reliably predicts topological phase transitions, it does not on its own specify the dynamical transitions.

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BibTeX
@misc{zhang2026dynamical,
  title = {{Dynamical transition in non-Hermitian Chern insulator}},
  author = {Zhi-Qiang Zhang and Yuan-Hang Ren and Ming Lu and Hua Jiang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.35492},
  eprint = {2609.35492},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.35492},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Dynamical transition in non-Hermitian Chern insulator
AU  - Zhi-Qiang Zhang
AU  - Yuan-Hang Ren
AU  - Ming Lu
AU  - Hua Jiang
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.35492
UR  - https://arxiv.org/abs/2609.35492
AB  - We unveil a peculiar dynamical transition for the propagation of wave packets in non-Hermitian Chern insulators, where the evolution of the topological wave packets at the edge is not solely determined by the topological Chern number. Unlike the Hermitian Chern insulator, where a wave packet initiated at the edge propagates along the system boundary, here it may instead penetrate into the bulk. This behavior is attributed to the competition between the localization induced by conventional topology and the non-Hermitian skin effect. Specifically, when the former dominant, the wave packet will evolve along the boundary; otherwise, it will spread into the bulk. These features demonstrate that while the generalized-Brillouin zone framework reliably predicts topological phase transitions, it does not on its own specify the dynamical transitions.
ER  -