Measurement of the Chern Number for Non-Hermitian Chern Insulators
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916108998541312 |
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| author | Liu, Hongfang Lu, Ming Chai, Shengdu Zhang, Zhi-Qiang Jiang, Hua |
| author_facet | Liu, Hongfang Lu, Ming Chai, Shengdu Zhang, Zhi-Qiang Jiang, Hua |
| contents | The identification of the topological invariant of a topological system is crucial in experiments. However, due to the inherent non-Hermitian features, such determination is notably challenging in non-Hermitian systems. Here, we propose that the magnetic effect can be utilized to measure the Chern number of the non-Hermitian Chern insulator. We find that the splitting of non-Hermitian bands under the magnetic field is Chern number dependent. Consequently, one can easily identify the Chern number by analyzing these splitting sub-bands. From the experimental perspective, the measurement of non-Hermitian bands is demonstrated in LC electric circuits. Furthermore, we find that the non-Hermiticity can drive open (closed) orbits of sub-bands in the Hermitian limit closed (open), which can also be identified by our proposal. These phenomena highlight the distinctive capabilities of non-Hermitian systems. Our results facilitate the detection of Chern numbers for non-Hermitian systems and may motivate further studies of their topological properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15991 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measurement of the Chern Number for Non-Hermitian Chern Insulators Liu, Hongfang Lu, Ming Chai, Shengdu Zhang, Zhi-Qiang Jiang, Hua Mesoscale and Nanoscale Physics The identification of the topological invariant of a topological system is crucial in experiments. However, due to the inherent non-Hermitian features, such determination is notably challenging in non-Hermitian systems. Here, we propose that the magnetic effect can be utilized to measure the Chern number of the non-Hermitian Chern insulator. We find that the splitting of non-Hermitian bands under the magnetic field is Chern number dependent. Consequently, one can easily identify the Chern number by analyzing these splitting sub-bands. From the experimental perspective, the measurement of non-Hermitian bands is demonstrated in LC electric circuits. Furthermore, we find that the non-Hermiticity can drive open (closed) orbits of sub-bands in the Hermitian limit closed (open), which can also be identified by our proposal. These phenomena highlight the distinctive capabilities of non-Hermitian systems. Our results facilitate the detection of Chern numbers for non-Hermitian systems and may motivate further studies of their topological properties. |
| title | Measurement of the Chern Number for Non-Hermitian Chern Insulators |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2401.15991 |