Topological disclination states and charge fractionalization in a non-hermitian lattice
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 or loss. They arise from charge fractionalization in the no...
| Main Authors: | , , , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2025
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| Online Access: | https://hdl.handle.net/10356/182041 |
| _version_ | 1826128191523127296 |
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| author | Banerjee, Rimi Mandal, Subhaskar Terh, Yun Yong Lin, Shuxin Liu, Gui-Geng Zhang, Baile Chong, Yidong |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Banerjee, Rimi Mandal, Subhaskar Terh, Yun Yong Lin, Shuxin Liu, Gui-Geng Zhang, Baile Chong, Yidong |
| author_sort | Banerjee, Rimi |
| collection | NTU |
| description | 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 or 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 is suitable for realization on established experimental platforms, such as arrays of photonic or polaritonic resonators. The emergence of the topological disclination states can manifest as an abrupt shift in emission intensity and frequency with varying gain or loss. |
| first_indexed | 2025-03-09T14:45:54Z |
| format | Journal Article |
| id | ntu-10356/182041 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-03-09T14:45:54Z |
| publishDate | 2025 |
| record_format | dspace |
| spelling | ntu-10356/1820412025-01-06T05:12:58Z 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, Yidong School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) Physics Biorthogonal Disclinations 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 or 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 is suitable for realization on established experimental platforms, such as arrays of photonic or polaritonic resonators. The emergence of the topological disclination states can manifest as an abrupt shift in emission intensity and frequency with varying gain or loss. Ministry of Education (MOE) National Research Foundation (NRF) This work was supported by the National Research Foundation (NRF), Singapore under Competitive Research Programme NRF-CRP23-2019-0005 and NRF-CRP23-2019-0007, and NRF Investigatorship NRF-NRFI08-2022-0001, and by Singapore Ministry of Education Academic Research Tier 2 grant (MOET2EP50123-0007) and Tier 1 grant (RG139/22). 2025-01-06T05:12:58Z 2025-01-06T05:12:58Z 2024 Journal Article Banerjee, R., Mandal, S., Terh, Y. Y., Lin, S., Liu, G., Zhang, B. & Chong, Y. (2024). Topological disclination states and charge fractionalization in a non-hermitian lattice. Physical Review Letters, 133(23), 233804-. https://dx.doi.org/10.1103/PhysRevLett.133.233804 0031-9007 https://hdl.handle.net/10356/182041 10.1103/PhysRevLett.133.233804 39714671 2-s2.0-85211215588 23 133 233804 en NRF-CRP23-2019-0005 NRF-CRP23-2019-0007 NRF-NRFI08-2022-0001 MOE-T2EP50123-0007 RG139/22 Physical Review Letters © 2024 American Physical Society. All rights reserved. |
| spellingShingle | Physics Biorthogonal Disclinations Banerjee, Rimi Mandal, Subhaskar Terh, Yun Yong Lin, Shuxin Liu, Gui-Geng Zhang, Baile Chong, Yidong Topological disclination states and charge fractionalization in a non-hermitian lattice |
| title | Topological disclination states and charge fractionalization in a non-hermitian lattice |
| title_full | Topological disclination states and charge fractionalization in a non-hermitian lattice |
| title_fullStr | Topological disclination states and charge fractionalization in a non-hermitian lattice |
| title_full_unstemmed | Topological disclination states and charge fractionalization in a non-hermitian lattice |
| title_short | Topological disclination states and charge fractionalization in a non-hermitian lattice |
| title_sort | topological disclination states and charge fractionalization in a non hermitian lattice |
| topic | Physics Biorthogonal Disclinations |
| url | https://hdl.handle.net/10356/182041 |
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