Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929417188540416 |
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| author | Mandal, Ipsita |
| author_facet | Mandal, Ipsita |
| contents | We investigate non-Hermitian versions of the Yao-Lee model, supplemented by various kinds of SO(3)-symmetry-breaking terms, preserving the solvability of the model. The parent model hosts three species of Majorana fermions, thereby serving as an extension of the two-dimensional Kitaev model on the honeycomb lattice. The non-Hermitian couplings represent generic situations when the system is coupled to the environment and, thus, undergoes dissipation. The resulting eigenvalue spectrum and the eigenmodes show a rich structure of exceptional points as well as non-Hermitian skin effects. We chart out such exotic behaviour for some representative parameter regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08568 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms Mandal, Ipsita Quantum Physics Mesoscale and Nanoscale Physics High Energy Physics - Theory Optics We investigate non-Hermitian versions of the Yao-Lee model, supplemented by various kinds of SO(3)-symmetry-breaking terms, preserving the solvability of the model. The parent model hosts three species of Majorana fermions, thereby serving as an extension of the two-dimensional Kitaev model on the honeycomb lattice. The non-Hermitian couplings represent generic situations when the system is coupled to the environment and, thus, undergoes dissipation. The resulting eigenvalue spectrum and the eigenmodes show a rich structure of exceptional points as well as non-Hermitian skin effects. We chart out such exotic behaviour for some representative parameter regimes. |
| title | Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms |
| topic | Quantum Physics Mesoscale and Nanoscale Physics High Energy Physics - Theory Optics |
| url | https://arxiv.org/abs/2401.08568 |