Implementing non-Abelian Hatano-Nelson model in electric circuits
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918409103474688 |
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| author | Chen, Xiangru Wu, Jien Chen, Xingyu Pu, Zhenhang Hu, Yejian Lu, Jiuyang Ke, Manzhu Deng, Weiyin Liu, Zhengyou |
| author_facet | Chen, Xiangru Wu, Jien Chen, Xingyu Pu, Zhenhang Hu, Yejian Lu, Jiuyang Ke, Manzhu Deng, Weiyin Liu, Zhengyou |
| contents | Non-Hermitian systems generally host complex spectra that bring unique spectral topologies, leading to the spectral braiding and non-Hermitian skin effect. The experimental exploration of non-Hermitian physics is mainly concentrated in artificial systems due to the flexibility in the introduction of the non-Hermiticity, but to date has focused only on the systems without gauge fields or with Abelian gauge fields. Here, we propose a non-Abelian Hatano-Nelson model with a nonreciprocal U(2) gauge field. The gauge field induces two non-Hermitian phenomena: the first is the Hopf-link-shaped complex energy braiding, and the second is the bipolar skin effect arising under the non-Abelian condition. The non-Abelian Hatano-Nelson model is implemented in electric circuits, and the Hopf-link-shaped admittance spectra and bipolar skin admittance modes are observed. Our work enriches the experimental non-Hermitian physics, and provides an approach to designing multifunctional non-Hermitian devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24642 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Implementing non-Abelian Hatano-Nelson model in electric circuits Chen, Xiangru Wu, Jien Chen, Xingyu Pu, Zhenhang Hu, Yejian Lu, Jiuyang Ke, Manzhu Deng, Weiyin Liu, Zhengyou Quantum Physics Mesoscale and Nanoscale Physics Non-Hermitian systems generally host complex spectra that bring unique spectral topologies, leading to the spectral braiding and non-Hermitian skin effect. The experimental exploration of non-Hermitian physics is mainly concentrated in artificial systems due to the flexibility in the introduction of the non-Hermiticity, but to date has focused only on the systems without gauge fields or with Abelian gauge fields. Here, we propose a non-Abelian Hatano-Nelson model with a nonreciprocal U(2) gauge field. The gauge field induces two non-Hermitian phenomena: the first is the Hopf-link-shaped complex energy braiding, and the second is the bipolar skin effect arising under the non-Abelian condition. The non-Abelian Hatano-Nelson model is implemented in electric circuits, and the Hopf-link-shaped admittance spectra and bipolar skin admittance modes are observed. Our work enriches the experimental non-Hermitian physics, and provides an approach to designing multifunctional non-Hermitian devices. |
| title | Implementing non-Abelian Hatano-Nelson model in electric circuits |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.24642 |