Photonic design of the Haldane model and its non-Hermitian extension
In this report, we present a topological phase transition induced by on-site gain and loss in a photonic Chern insulator based on a non-Hermitian extension of Haldane model. By arranging the gyromagnetic rods in a honeycomb lattice, the gain and loss parameter is tuned to achieve a non-Hermiticity-i...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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Nanyang Technological University
2022
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| Online Access: | https://hdl.handle.net/10356/156345 |
| _version_ | 1811683764462419968 |
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| author | Teo, Hau Tian |
| author2 | Zhang Baile |
| author_facet | Zhang Baile Teo, Hau Tian |
| author_sort | Teo, Hau Tian |
| collection | NTU |
| description | In this report, we present a topological phase transition induced by on-site gain and loss in a photonic Chern insulator based on a non-Hermitian extension of Haldane model. By arranging the gyromagnetic rods in a honeycomb lattice, the gain and loss parameter is tuned to achieve a non-Hermiticity-induced phase transition with Hermitian-like features. Prior to the introduction to this photonic crystal, the concepts of band topology and photonics will first be drawn together, followed by general consequences of non-Hermitian parameters in photonic crystals. As a state-of-the-art model of Hermitian honeycomb lattices, the Haldane model will then be reviewed in order to demonstrate the competition between parity symmetry breaking and time-reversal symmetry breaking, inducing topological phase transitions in Hermitian regime. The gain and loss parameter is eventually applied on the Haldane model and the corresponding photonic crystals, which in turn introduces a new degree of freedom of symmetry breaking to realize topological phase transitions. Bulk and edge dispersion will be illustrated in both Hermitian and non-Hermitian cases, highlighting bulk-edge correspondence and robustness of chiral edge states that are uncommon in non-Hermitian systems. Our results not only lead to the possibility to non-Hermitian control over band topology in Chern insulators, but also pave the way to novel applications in active topological photonic devices supported by its robustness against manufacturing errors. |
| first_indexed | 2024-10-01T04:17:55Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/156345 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:17:55Z |
| publishDate | 2022 |
| publisher | Nanyang Technological University |
| record_format | dspace |
| spelling | ntu-10356/1563452023-02-28T23:13:33Z Photonic design of the Haldane model and its non-Hermitian extension Teo, Hau Tian Zhang Baile School of Physical and Mathematical Sciences blzhang@ntu.edu.sg Science::Physics In this report, we present a topological phase transition induced by on-site gain and loss in a photonic Chern insulator based on a non-Hermitian extension of Haldane model. By arranging the gyromagnetic rods in a honeycomb lattice, the gain and loss parameter is tuned to achieve a non-Hermiticity-induced phase transition with Hermitian-like features. Prior to the introduction to this photonic crystal, the concepts of band topology and photonics will first be drawn together, followed by general consequences of non-Hermitian parameters in photonic crystals. As a state-of-the-art model of Hermitian honeycomb lattices, the Haldane model will then be reviewed in order to demonstrate the competition between parity symmetry breaking and time-reversal symmetry breaking, inducing topological phase transitions in Hermitian regime. The gain and loss parameter is eventually applied on the Haldane model and the corresponding photonic crystals, which in turn introduces a new degree of freedom of symmetry breaking to realize topological phase transitions. Bulk and edge dispersion will be illustrated in both Hermitian and non-Hermitian cases, highlighting bulk-edge correspondence and robustness of chiral edge states that are uncommon in non-Hermitian systems. Our results not only lead to the possibility to non-Hermitian control over band topology in Chern insulators, but also pave the way to novel applications in active topological photonic devices supported by its robustness against manufacturing errors. Bachelor of Science in Physics 2022-04-27T00:35:02Z 2022-04-27T00:35:02Z 2022 Final Year Project (FYP) Teo, H. T. (2022). Photonic design of the Haldane model and its non-Hermitian extension. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/156345 https://hdl.handle.net/10356/156345 en application/pdf Nanyang Technological University |
| spellingShingle | Science::Physics Teo, Hau Tian Photonic design of the Haldane model and its non-Hermitian extension |
| title | Photonic design of the Haldane model and its non-Hermitian extension |
| title_full | Photonic design of the Haldane model and its non-Hermitian extension |
| title_fullStr | Photonic design of the Haldane model and its non-Hermitian extension |
| title_full_unstemmed | Photonic design of the Haldane model and its non-Hermitian extension |
| title_short | Photonic design of the Haldane model and its non-Hermitian extension |
| title_sort | photonic design of the haldane model and its non hermitian extension |
| topic | Science::Physics |
| url | https://hdl.handle.net/10356/156345 |
| work_keys_str_mv | AT teohautian photonicdesignofthehaldanemodelanditsnonhermitianextension |