On the non-hermitian Kitaev chain
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909609828024320 |
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| author | Ardonne, Eddy Kurasov, Viktor |
| author_facet | Ardonne, Eddy Kurasov, Viktor |
| contents | We study the non-hermitian Kitaev chain model, for arbitrary complex parameters. In particular, we give a concise characterisation of the curves of eigenvalues in the complex plane in the infinite size limit, using a novel method which can be applied to other non-hermitian systems. Using this solution, we characterise under which conditions the skin effect is absent, and for which eigenstates this is the case. We also fully determine the region in parameter space for which the model has a zero mode. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the non-hermitian Kitaev chain Ardonne, Eddy Kurasov, Viktor Quantum Physics Mesoscale and Nanoscale Physics We study the non-hermitian Kitaev chain model, for arbitrary complex parameters. In particular, we give a concise characterisation of the curves of eigenvalues in the complex plane in the infinite size limit, using a novel method which can be applied to other non-hermitian systems. Using this solution, we characterise under which conditions the skin effect is absent, and for which eigenstates this is the case. We also fully determine the region in parameter space for which the model has a zero mode. |
| title | On the non-hermitian Kitaev chain |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2411.14776 |