Observation of scale-free localized states induced by non-Hermitian defects
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| Main Authors: | , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910515479969792 |
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| author | Xie, Xinrong Liang, Gan Ma, Fei Du, Yulin Peng, Yiwei Li, Erping Chen, Hongsheng Li, Linhu Gao, Fei Xue, Haoran |
| author_facet | Xie, Xinrong Liang, Gan Ma, Fei Du, Yulin Peng, Yiwei Li, Erping Chen, Hongsheng Li, Linhu Gao, Fei Xue, Haoran |
| contents | Wave localization is a fundamental phenomenon that appears universally in both natural materials and artificial structures and plays a crucial role in understanding the various physical properties of a system. Usually, a localized state has an exponential profile with a localization length independent of the system size. Here, we experimentally demonstrate a new class of localized states called scale-free localized states, which has an unfixed localization length scaling linearly with the system size. Using circuit lattices, we observe that a non-Hermitian defect added to a Hermitian lattice induces an extensive number of states with scale-free localization. Furthermore, we demonstrate that, in a lattice with a parity-time-symmetric non-Hermitian defect, the scale-free localization emerges because of spontaneous parity-time symmetry breaking. Our results uncover a new type of localized states and extend the study of defect physics to the non-Hermitian regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Observation of scale-free localized states induced by non-Hermitian defects Xie, Xinrong Liang, Gan Ma, Fei Du, Yulin Peng, Yiwei Li, Erping Chen, Hongsheng Li, Linhu Gao, Fei Xue, Haoran Mesoscale and Nanoscale Physics Applied Physics Wave localization is a fundamental phenomenon that appears universally in both natural materials and artificial structures and plays a crucial role in understanding the various physical properties of a system. Usually, a localized state has an exponential profile with a localization length independent of the system size. Here, we experimentally demonstrate a new class of localized states called scale-free localized states, which has an unfixed localization length scaling linearly with the system size. Using circuit lattices, we observe that a non-Hermitian defect added to a Hermitian lattice induces an extensive number of states with scale-free localization. Furthermore, we demonstrate that, in a lattice with a parity-time-symmetric non-Hermitian defect, the scale-free localization emerges because of spontaneous parity-time symmetry breaking. Our results uncover a new type of localized states and extend the study of defect physics to the non-Hermitian regime. |
| title | Observation of scale-free localized states induced by non-Hermitian defects |
| topic | Mesoscale and Nanoscale Physics Applied Physics |
| url | https://arxiv.org/abs/2402.04716 |