Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material
Open accessAbstract
We derive in the present work topological photonic states purely based on conventional dielectric material by deforming a honeycomb lattice of cylinders into a triangular lattice of cylinder hexagons. The photonic topology is associated with a pseudo-time-reversal (TR) symmetry constituted by the TR symmetry supported in general by Maxwell equations and the C_{6} crystal symmetry upon design, which renders the Kramers doubling in the present photonic system. It is shown explicitly for the transverse magnetic mode that the role of pseudospin is played by the angular momentum of the wave function of the out-of-plane electric field. We solve Maxwell equations and demonstrate the new photonic topology by revealing pseudospin-resolved Berry curvatures of photonic bands and helical edge states characterized by Poynting vectors.
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Currently proposed PTIs and STIs usually require covers to confine the waves in the vertical direction to prevent radiative leakage into free space.
“However, currently proposed PTIs and STIs usually require covers to confine the waves in the vertical direction to prevent radiative leakage into free space20–25.”
From Direct observation of valley-polarized topological edge states in designer surface plasmon crystals (2017) · cites this paper as [24]
Such demonstration may also benefit photonic technologies by providing ways to control photon spins and pseudospins in topologically non-trivial ways.
“Such demonstration may also benefit photonic technologies by providing ways to control photon spins and pseudospins in topologically non-trivial ways [41].”
From Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions (2025) · cites this paper as [41]
Cites
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394 · see citing works
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973 · see citing works
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523 · see citing works
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332 · see citing works
Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
Wang, Z., Chong, Y. D., Joannopoulos, J. D., & Soljačić, M. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013905 · Cited by 1,444 · see citing works
Huang, X., Lai, Y., Hang, Z. H., Zheng, H., & Chan, C. T. (2011) · Nature Materials · doi:10.1038/nmat3030 · Cited by 993 · see citing works
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Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722 · see citing works
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655 · see citing works
All-Si valley-Hall photonic topological insulator
Ma, T., & Shvets, G. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/2/025012 · Cited by 747 · see citing works
Valley Vortex States in Sonic Crystals
Lu, J., Qiu, C., Ke, M., & Liu, Z. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.093901 · Cited by 448 · see citing works
Direct observation of valley-polarized topological edge states in designer surface plasmon crystals
Wu, X., Meng, Y., Tian, J., Huang, Y., Xiang, H., Han, D., & Wen, W. (2017) · Nature Communications · doi:10.1038/s41467-017-01515-2 · Cited by 449 · see citing works
Chen, X.-D., Zhao, F.-L., Chen, M., & Dong, J.-W. (2017) · Physical Review B · doi:10.1103/physrevb.96.020202 · Cited by 387 · see citing works
Symmetry-protected topological photonic crystal in three dimensions
Lu, L., Fang, C., Fu, L., Johnson, S. G., Joannopoulos, J. D., & Soljačić, M. (2016) · Nature Physics · doi:10.1038/nphys3611 · Cited by 329 · see citing works
Chen, W.-J., Xiao, M., & Chan, C. T. (2016) · Nature Communications · doi:10.1038/ncomms13038 · Cited by 258 · see citing works
A second wave of topological phenomena in photonics and acoustics
Zhang, X., Zangeneh-Nejad, F., Chen, Z.-G., Lu, M.-H., & Christensen, J. (2023) · Nature · doi:10.1038/s41586-023-06163-9 · Cited by 240 · see citing works
Scattering-free edge states between heterogeneous photonic topological insulators
Ma, T., & Shvets, G. (2017) · Physical Review B · doi:10.1103/physrevb.95.165102 · Cited by 122 · see citing works
Three-dimensional photonic Dirac points stabilized by point group symmetry
Wang, H., Xu, L., Chen, H., & Jiang, J.-H. (2016) · Physical Review B · doi:10.1103/physrevb.93.235155 · Cited by 75 · see citing works
Wang, H.-X., Chen, Y., Hang, Z. H., Kee, H.-Y., & Jiang, J.-H. (2017) · npj Quantum Materials · doi:10.1038/s41535-017-0058-z · Cited by 70 · see citing works
Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions
Cheng, D., Wang, K., Roques-Carmes, C., Lustig, E., Long, O. Y., Wang, H., & Fan, S. (2025) · Nature · doi:10.1038/s41586-024-08259-2 · Cited by 58 · see citing works
- Authors
- Wu, L.-H., & Hu, X.
- Affiliations
- University of Tsukuba (JP)
- Corresponding author
- Hu, Xiao
- ORCID
- Hu, Xiao
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2015-06-03
- Volume
- 114
- Issue
- 22
- Pages
- 223901-223901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W41153617
- Cited by
- 1,648
- References
- 6
- Citations by year
- 2026: 113 · 2025: 192 · 2024: 215 · 2023: 212 · 2022: 199 · 2021: 190 · 2020: 170 · 2019: 132 · 2018: 120 · 2017: 67 · 2016: 33 · 2015: 4 · 2014: 1
- FWCI
- 37.95
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Physical Review Letters (publishedVersion, cc-by)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Institutional Repositories DataBase (IRDB) (submittedVersion)
- NIMS Materials Data Repository (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ministry of Education, Culture, Sports, Science, and Technology (25103723)
- WPI
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- topological photonic crystals, pseudospin, Berry curvature, helical edge states, TM modes, Poynting vector
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