Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals
In this work, we study topological states in Ammann–Beenker-tiling photonic quasicrystals made of magneto-optical materials. While conventional topological states in photonic systems with crystalline symmetry are characterized by topological invariants associated with bulk Bloch bands in momentum sp...
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| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | JPhys Photonics |
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| Online Access: | https://doi.org/10.1088/2515-7647/ada655 |
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| author | Yingfang Zhang Zhihao Lan Weicheng Chen Jianqing Li |
| author_facet | Yingfang Zhang Zhihao Lan Weicheng Chen Jianqing Li |
| author_sort | Yingfang Zhang |
| collection | DOAJ |
| description | In this work, we study topological states in Ammann–Beenker-tiling photonic quasicrystals made of magneto-optical materials. While conventional topological states in photonic systems with crystalline symmetry are characterized by topological invariants associated with bulk Bloch bands in momentum space, photonic systems in quasicrystal geometries typically lack exact periodicity and translational symmetry. As a result, conventional topological invariants defined in momentum space for photonic crystals, such as Chern number, are not applicable for photonic quasicrystals. Instead, a topological invariant called Bott index defined in real space could be employed for characterizing the topological properties of photonic quasicrystals, which we term as topological Bott insulators. In specific, we investigate the topological properties of photonic quasicrystals made of gyromagnetic dielectric cylinders arranged in a two-dimensional Ammann–Beenker tiling quasicrystalline lattice and find that this system supports dual-band chiral topological edge states, where the topological nature of both bandgaps is unambiguously confirmed by explicit calculations of the Bott index. Our work not only provides new insights on topological states in photonic quasicrystals based on the Ammann–Beenker-tiling, the results may also offer promising potentials for robust multiband photonic devices and applications not constrained by crystalline symmetries. |
| format | Article |
| id | doaj-art-7ded1ee0ed1b4438ae7e77277446aa40 |
| institution | DOAJ |
| issn | 2515-7647 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
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| series | JPhys Photonics |
| spelling | doaj-art-7ded1ee0ed1b4438ae7e77277446aa402025-08-20T02:46:36ZengIOP PublishingJPhys Photonics2515-76472025-01-017101501010.1088/2515-7647/ada655Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystalsYingfang Zhang0https://orcid.org/0009-0007-2182-8877Zhihao Lan1https://orcid.org/0000-0002-1322-5925Weicheng Chen2Jianqing Li3Faculty of Innovation Engineering, Macau University of Science and Technology , Avenida Wai Long, 999078 Macau, People’s Republic of ChinaDepartment of Electronic and Electrical Engineering, University College London , Torrington Place, London WC1E 7JE, United KingdomGuangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology, School of Physics and Optoelectronic Engineering, Foshan University , Foshan 528225, People’s Republic of ChinaFaculty of Innovation Engineering, Macau University of Science and Technology , Avenida Wai Long, 999078 Macau, People’s Republic of ChinaIn this work, we study topological states in Ammann–Beenker-tiling photonic quasicrystals made of magneto-optical materials. While conventional topological states in photonic systems with crystalline symmetry are characterized by topological invariants associated with bulk Bloch bands in momentum space, photonic systems in quasicrystal geometries typically lack exact periodicity and translational symmetry. As a result, conventional topological invariants defined in momentum space for photonic crystals, such as Chern number, are not applicable for photonic quasicrystals. Instead, a topological invariant called Bott index defined in real space could be employed for characterizing the topological properties of photonic quasicrystals, which we term as topological Bott insulators. In specific, we investigate the topological properties of photonic quasicrystals made of gyromagnetic dielectric cylinders arranged in a two-dimensional Ammann–Beenker tiling quasicrystalline lattice and find that this system supports dual-band chiral topological edge states, where the topological nature of both bandgaps is unambiguously confirmed by explicit calculations of the Bott index. Our work not only provides new insights on topological states in photonic quasicrystals based on the Ammann–Beenker-tiling, the results may also offer promising potentials for robust multiband photonic devices and applications not constrained by crystalline symmetries.https://doi.org/10.1088/2515-7647/ada655topological edge statesquasicrystalsBott insulatorAmmann–Beenker-tiling |
| spellingShingle | Yingfang Zhang Zhihao Lan Weicheng Chen Jianqing Li Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals JPhys Photonics topological edge states quasicrystals Bott insulator Ammann–Beenker-tiling |
| title | Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals |
| title_full | Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals |
| title_fullStr | Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals |
| title_full_unstemmed | Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals |
| title_short | Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals |
| title_sort | dual band topological bott insulators in ammann beenker tiling square photonic quasicrystals |
| topic | topological edge states quasicrystals Bott insulator Ammann–Beenker-tiling |
| url | https://doi.org/10.1088/2515-7647/ada655 |
| work_keys_str_mv | AT yingfangzhang dualbandtopologicalbottinsulatorsinammannbeenkertilingsquarephotonicquasicrystals AT zhihaolan dualbandtopologicalbottinsulatorsinammannbeenkertilingsquarephotonicquasicrystals AT weichengchen dualbandtopologicalbottinsulatorsinammannbeenkertilingsquarephotonicquasicrystals AT jianqingli dualbandtopologicalbottinsulatorsinammannbeenkertilingsquarephotonicquasicrystals |