Quasiperiodic and periodic extended Hatano-Nelson model: Anomalous complex-real transition and non-Hermitian skin effect
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917609412231168 |
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| author | Padhi, Soumya Ranjan Padhan, Ashirbad Banerjee, Sanchayan Mishra, Tapan |
| author_facet | Padhi, Soumya Ranjan Padhan, Ashirbad Banerjee, Sanchayan Mishra, Tapan |
| contents | We study the effect of quasiperiodic and periodic onsite potentials in a Hatano-Nelson model with next-nearest-neighbour hopping. By considering a non-reciprocal next-nearest-neighbour hopping and a quasiperiodic onsite potential under periodic boundary conditions, we show a breakdown of the typical correspondence between the delocalization-localization and complex-real transitions as a function of the potential strength. Moreover, we reveal that in the delocalized regime, when the potential strength increases, the eigenstates under open boundary conditions exhibit a bidirectional non-Hermitian skin effect, i.e., they tend to localize on both the edges instead of localizing on either of the edges. However, when a periodic onsite potential is considered, the system not only exhibits a bidirectional skin effect but also shows a complete direction reversal of the skin effect as a function of the onsite periodic potential. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_05382 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasiperiodic and periodic extended Hatano-Nelson model: Anomalous complex-real transition and non-Hermitian skin effect Padhi, Soumya Ranjan Padhan, Ashirbad Banerjee, Sanchayan Mishra, Tapan Quantum Gases Disordered Systems and Neural Networks Other Condensed Matter We study the effect of quasiperiodic and periodic onsite potentials in a Hatano-Nelson model with next-nearest-neighbour hopping. By considering a non-reciprocal next-nearest-neighbour hopping and a quasiperiodic onsite potential under periodic boundary conditions, we show a breakdown of the typical correspondence between the delocalization-localization and complex-real transitions as a function of the potential strength. Moreover, we reveal that in the delocalized regime, when the potential strength increases, the eigenstates under open boundary conditions exhibit a bidirectional non-Hermitian skin effect, i.e., they tend to localize on both the edges instead of localizing on either of the edges. However, when a periodic onsite potential is considered, the system not only exhibits a bidirectional skin effect but also shows a complete direction reversal of the skin effect as a function of the onsite periodic potential. |
| title | Quasiperiodic and periodic extended Hatano-Nelson model: Anomalous complex-real transition and non-Hermitian skin effect |
| topic | Quantum Gases Disordered Systems and Neural Networks Other Condensed Matter |
| url | https://arxiv.org/abs/2403.05382 |