Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912189667868672 |
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| author | Wang, Hao Liu, Jin Liu, Tao Ju, Wen-Bo |
| author_facet | Wang, Hao Liu, Jin Liu, Tao Ju, Wen-Bo |
| contents | One of unique features of non-Hermitian systems is the extreme sensitive to their boundary conditions, e.g., the emergence of non-Hermitian skin effect (NHSE) under the open boundary conditions, where most of bulk states become localized at the boundaries. In the presence of impurities, the scale-free localization can appear, which is qualitatively distinct from the NHSE. Here, we experimentally design a disordered non-Hermitian electrical circuits in the presence of a single non-Hermitian impurity and the nonreciprocal hopping. We observe the anomalous scale-free accumulation of eigenstates, opposite to the bulk hopping direction. The experimental results open the door to further explore the anomalous skin effects in non-Hermitian electrical circuits. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_08594 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit Wang, Hao Liu, Jin Liu, Tao Ju, Wen-Bo Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics One of unique features of non-Hermitian systems is the extreme sensitive to their boundary conditions, e.g., the emergence of non-Hermitian skin effect (NHSE) under the open boundary conditions, where most of bulk states become localized at the boundaries. In the presence of impurities, the scale-free localization can appear, which is qualitatively distinct from the NHSE. Here, we experimentally design a disordered non-Hermitian electrical circuits in the presence of a single non-Hermitian impurity and the nonreciprocal hopping. We observe the anomalous scale-free accumulation of eigenstates, opposite to the bulk hopping direction. The experimental results open the door to further explore the anomalous skin effects in non-Hermitian electrical circuits. |
| title | Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit |
| topic | Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2501.08594 |