Impact of Nonreciprocal Hopping on Localization in Non-Hermitian Quasiperiodic Systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910797822689280 |
|---|---|
| author | Tong, Xianqi Zhang, Yiling Li, Bin Yang, Xiaosen |
| author_facet | Tong, Xianqi Zhang, Yiling Li, Bin Yang, Xiaosen |
| contents | We study the non-Hermitian Aubry-André-Harper model, incorporating complex phase modulation, unmodulated and modulated nonreciprocal hopping. Using Avila's global theory, we derive analytical phase boundaries and map out the phase diagrams, revealing extended, localized, critical, and skin phases unique to non-Hermitian systems. For complex phase modulation, we determine localization lengths through Lyapunov exponents and show that topological transitions align with localization transitions. In the nonreciprocal case, we use similarity transformations to confirm phase boundaries consistent with Avila's theory and uncover asymmetric localization behaviors. Importantly, modulated nonreciprocal hopping transforms both extended and critical phases into skin phases under open boundary conditions. These results highlight the interplay between topology, localization, and non-Hermitian effects, offering new perspectives on quasiperiodic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14343 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Impact of Nonreciprocal Hopping on Localization in Non-Hermitian Quasiperiodic Systems Tong, Xianqi Zhang, Yiling Li, Bin Yang, Xiaosen Disordered Systems and Neural Networks We study the non-Hermitian Aubry-André-Harper model, incorporating complex phase modulation, unmodulated and modulated nonreciprocal hopping. Using Avila's global theory, we derive analytical phase boundaries and map out the phase diagrams, revealing extended, localized, critical, and skin phases unique to non-Hermitian systems. For complex phase modulation, we determine localization lengths through Lyapunov exponents and show that topological transitions align with localization transitions. In the nonreciprocal case, we use similarity transformations to confirm phase boundaries consistent with Avila's theory and uncover asymmetric localization behaviors. Importantly, modulated nonreciprocal hopping transforms both extended and critical phases into skin phases under open boundary conditions. These results highlight the interplay between topology, localization, and non-Hermitian effects, offering new perspectives on quasiperiodic systems. |
| title | Impact of Nonreciprocal Hopping on Localization in Non-Hermitian Quasiperiodic Systems |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2501.14343 |