Topologically invisible defects in chiral mirror lattices
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866917842633359360 |
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| author | Coutant, Antonin Zheng, Li-Yang Achilleos, Vassos Richoux, Olivier Theocharis, Georgios Pagneux, Vincent |
| author_facet | Coutant, Antonin Zheng, Li-Yang Achilleos, Vassos Richoux, Olivier Theocharis, Georgios Pagneux, Vincent |
| contents | One of the hallmark of topological insulators is having conductivity properties that are unaffected by the possible presence of defects. In this work, we go beyond backscattering immunity and obtain topological invisibility across defects or disorder. Using a combination of chiral and mirror symmetry, the transmission coefficient is guaranteed to be unity. Importantly, but no phase shift is induced making the defect completely invisible. Many lattices possess the chiral-mirror symmetry, and we choose to demonstrate the principle on an hexagonal lattice model with Kekule distortion displaying topological edge waves, and we show analytically and numerically that the transmission across symmetry preserving defects is unity. We then realize this lattice in an acoustic system, and confirm the invisibility with numerical experiments. We foresee that the versatility of our model will trigger new experiments to observe topological invisibility in various wave systems, such as photonics, cold atoms or elastic waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_02029 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topologically invisible defects in chiral mirror lattices Coutant, Antonin Zheng, Li-Yang Achilleos, Vassos Richoux, Olivier Theocharis, Georgios Pagneux, Vincent Mesoscale and Nanoscale Physics Classical Physics Optics One of the hallmark of topological insulators is having conductivity properties that are unaffected by the possible presence of defects. In this work, we go beyond backscattering immunity and obtain topological invisibility across defects or disorder. Using a combination of chiral and mirror symmetry, the transmission coefficient is guaranteed to be unity. Importantly, but no phase shift is induced making the defect completely invisible. Many lattices possess the chiral-mirror symmetry, and we choose to demonstrate the principle on an hexagonal lattice model with Kekule distortion displaying topological edge waves, and we show analytically and numerically that the transmission across symmetry preserving defects is unity. We then realize this lattice in an acoustic system, and confirm the invisibility with numerical experiments. We foresee that the versatility of our model will trigger new experiments to observe topological invisibility in various wave systems, such as photonics, cold atoms or elastic waves. |
| title | Topologically invisible defects in chiral mirror lattices |
| topic | Mesoscale and Nanoscale Physics Classical Physics Optics |
| url | https://arxiv.org/abs/2303.02029 |