Topological disclination states and charge fractionalization in a non-Hermitian lattice
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arXiv
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| Format: | Preprint |
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2024
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| author | Banerjee, Rimi Mandal, Subhaskar Terh, Yun Yong Lin, Shuxin Liu, Gui-Geng Zhang, Baile Chong, Y. D. |
| author_facet | Banerjee, Rimi Mandal, Subhaskar Terh, Yun Yong Lin, Shuxin Liu, Gui-Geng Zhang, Baile Chong, Y. D. |
| contents | We show that a non-Hermitian lattice with a disclination can host topological disclination states that are induced by on-site gain and loss. The disclination states are inherently non-Hermitian as they do not exist in the limit of zero gain/loss. They arise from charge fractionalization in the non-Hermitian lattice, which we establish using non-Hermitian Wilson loops calculated with biorthogonal products. The model can be realized using an array of optical resonators, with the emergence of the topological disclination states manifesting as an abrupt shift in emission intensity and frequency upon tuning the gain/loss level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological disclination states and charge fractionalization in a non-Hermitian lattice Banerjee, Rimi Mandal, Subhaskar Terh, Yun Yong Lin, Shuxin Liu, Gui-Geng Zhang, Baile Chong, Y. D. Mesoscale and Nanoscale Physics Optics We show that a non-Hermitian lattice with a disclination can host topological disclination states that are induced by on-site gain and loss. The disclination states are inherently non-Hermitian as they do not exist in the limit of zero gain/loss. They arise from charge fractionalization in the non-Hermitian lattice, which we establish using non-Hermitian Wilson loops calculated with biorthogonal products. The model can be realized using an array of optical resonators, with the emergence of the topological disclination states manifesting as an abrupt shift in emission intensity and frequency upon tuning the gain/loss level. |
| title | Topological disclination states and charge fractionalization in a non-Hermitian lattice |
| topic | Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2406.03455 |