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Essay: Photonic Crystals as a Platform to Explore New Physics
Phys. Rev. Lett. 135, 080001 – Published 19 August, 2025
DOI: https://doi.org/10.1103/kglg-yzcm
Abstract
Photonic crystals are artificial materials characterized by a photonic band structure that governs the propagation of light waves. The photonic gap was originally introduced to inhibit spontaneous emission and facilitate photon localization. In this essay, I will highlight how, despite the established understanding of photonic crystals, they remain highly relevant today. Their design flexibility, the duality symmetry inherent in Maxwell’s equations, and their functionality across a wide frequency range all allow the exploration of new areas in physics, each revealing unique phenomena. Examples include band topology and topological effects in structured light fields, as well as geometric concepts such as quantum geometry and the properties of non-Euclidean spaces. Furthermore, photonic crystals provide a valuable platform for studying non-Hermitian physics, including exceptional points and the non-Hermitian skin effect. Beyond their fundamental significance, these properties hold promise for advancing photonic technologies.
Part of a series of essays in Physical Review Letters which concisely present author visions for the future of their field.
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PRL Forward-Looking Essays
To welcome work from areas across the physical sciences and inspire the new generation of physicists, this series of forward-looking Essays is designed to envision future directions for a given topic .
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References (85)
- J. D. Joannopoulos et al., Photonic crystals: Molding the flow of light (Princeton University Press, Princeton, USA, 2011).
- P. Russell, Photonic crystal fibers, Science 299, 358 (2003).
- E. Yablonovitch, Inhibited spontaneous emission in solid-state physics and electronics, Phys. Rev. Lett. 58, 2059 (1987).
- S. John, Strong localization of photons in certain disordered dielectric superlattices, Phys. Rev. Lett. 58, 2486 (1987).
- K. M. Ho, C. T. Chan, and C. M. Soukoulis, Existence of a photonic gap in periodic dielectric structures, Phys. Rev. Lett. 65, 3152 (1990).
- C. Simovski and S. Tretyakov, An Introduction to Metamaterials and Nanophotonics (Cambridge University Press, Cambridge, 2020).
- D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, Metamaterials and negative refractive index, Science 305, 788 (2004).
- J. B. Pendry, Negative refraction makes a perfect lens, Phys. Rev. Lett. 85, 3966 (2000).
- D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Metamaterial electromagnetic cloak at microwave frequencies, Science 314, 977 (2006).
- V. Laude, Phononic Crystals: Artificial Crystals for Sonic, Acoustic, and Elastic Waves (De Gruyter, Berlin, 2020).
- L. Lu, J. D. Joannopoulos, and M. Soljačić, Topological photonics, Nat. Photonics 8, 821 (2014).
- T. Ozawa et al., Topological photonics, Rev. Mod. Phys. 91, 015006 (2019).
- L. Feng, R. El-Ganainy, and L. Ge, Non-Hermitian photonics based on parity–time symmetry, Nat. Photonics 11, 752 (2017).
- Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljačić, Observation of unidirectional backscattering-immune topological electromagnetic states, Nature (London) 461, 772 (2009).
- J. R. Schaibley, H. Yu, G. Clark, P. Rivera, J. S. Ross, K. L. Seyler, W. Yao, and X. Xu, Valleytronics in 2D materials, Nat. Rev. Mater. 1, 16055 (2016).
- H. Xue, Y. Yang, and B. Zhang, Topological valley photonics: Physics and device applications, Adv. Photonics Res. 2, 2100013 (2021).
- C. Devescovi, A. Morales-Pérez, Y. Hwang, M. García-Díez, I. Robredo, J. Luis Mañes, B. Bradlyn, A. García-Etxarri, and M. G. Vergniory, Axion topology in photonic crystal domain walls, Nat. Commun. 15, 6814 (2024).
- G.-G. Liu et al., Photonic axion insulator, Science 387, 162 (2025).
- M. G. Silveirinha, PTD symmetry-protected scattering anomaly in optics, Phys. Rev. B 95, 035153 (2017).
- A. B. Khanikaev, S. H. Mousavi, W.-K. Tse, M. Kargarian, A. H. MacDonald, and G. Shvets, Photonic topological insulators, Nat. Mater. 12, 233 (2013).
- Q. Guo, B. Yang, L. Xia, W. Gao, H. Liu, J. Chen, Y. Xiang, and S. Zhang, Three dimensional photonic Dirac points in metamaterials, Phys. Rev. Lett. 119, 213901 (2017).
- M. Aidelsburger, S. Nascimbene, and N. Goldman, Artificial gauge fields in materials and engineered systems, Quantum Simul. Simul. Quantique 19, 394 (2018).
- Y. Yang, C. Peng, D. Zhu, H. Buljan, J. D. Joannopoulos, B. Zhen, and M. Soljačić, Synthesis and observation of non-Abelian gauge fields in real space, Science 365, 1021 (2019).
- Y. Yang, B. Yang, G. Ma, J. Li, S. Zhang, and C. T. Chan, Non-Abelian physics in light and sound, Science 383, eadf9621 (2024).
- D. Cheng, K. Wang, C. Roques-Carmes, E. Lustig, O. Y. Long, H. Wang, and S. Fan, Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions, Nature (London) 637, 52 (2025).
- Q. Wu, A. A. Soluyanov, and T. Bzdušek, Non-Abelian band topology in noninteracting metals, Science 365, 1273 (2019).
- Q. Guo, T. Jiang, R.-Y. Zhang, L. Zhang, Z.-Q. Zhang, B. Yang, S. Zhang, and C. T. Chan, Experimental observation of non-Abelian topological charges and edge states, Nature (London) 594, 195 (2021).
- S. Chen, A. Bouhon, R. J. Slager, and B. Monserrat, Non-Abelian braiding of Weyl nodes via symmetry-constrained phase transitions, Phys. Rev. B 105, L081117 (2022).
- F. N. Ünal, A. Bouhon, and R.-J. Slager, Topological Euler class as a dynamical observable in optical lattices, Phys. Rev. Lett. 125, 053601 (2020).
- T. Iadecola, T. Schuster, and C. Chamon, Non-Abelian braiding of light, Phys. Rev. Lett. 117, 073901 (2016).
- X.-L. Zhang, F. Yu, Z.-G. Chen, Z.-N. Tian, Q.-D. Chen, H.-B. Sun, and G. Ma, Non-Abelian braiding on photonic chips, Nat. Photonics 16, 390 (2022).
- V. Neef, J. Pinske, F. Klauck, L. Teuber, M. Kremer, M. Ehrhardt, M. Heinrich, S. Scheel, and A. Szameit, Three-dimensional non-Abelian quantum holonomy, Nat. Phys. 19, 30 (2023).
- P. Törmä, Essay: Where can quantum geometry lead us?, Phys. Rev. Lett. 131, 240001 (2023).
- P. Törmä, S. Peotta, and B. A. Bernevig, Superconductivity, superfluidity and quantum geometry in twisted multilayer systems, Nat. Rev. Phys. 4, 528 (2022).
- T. Liu et al., Quantum geometry in condensed matter, Natl. Sci. Rev. 12, nwae334 (2024).
- T. Ozawa and B. Mera, Relations between topology and the quantum metric for Chern insulators, Phys. Rev. B 104, 045103 (2021).
- Y. Onishi and L. Fu, Fundamental bound on topological gap, Phys. Rev. X 14, 011052 (2024).
- S. Peotta and P. Törmä, Superfluidity in topologically nontrivial flat bands, Nat. Commun. 6, 8944 (2015).
- Z. C. F. Li et al., Flat band Josephson junctions with quantum metric, Phys. Rev. Research 7, 023273 (2025).
- C. W. Chau et al., Disorder-induced delocalization in flat-band systems with quantum geometry, arXiv:2412.19056.
- C. Chen Ye, W. L. Vleeshouwers, S. Heatley, V. Gritsev, and C. Morais Smith, Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems, Phys. Rev. Res. 6, 023202 (2024).
- J. Maciejko and S. Rayan, Hyperbolic band theory, Sci. Adv. 7, eabe9170 (2021).
- M. Hu, J. Lin, and K. Ding, Unveiling non-Hermitian spectral topology in hyperbolic lattices with non-Abelian translation symmetry, arXiv:2412.05607.
- A. J. Kollár, M. Fitzpatrick, and A. A. Houck, Hyperbolic lattices in circuit quantum electrodynamics, Nature (London) 571, 45 (2019).
- W. Zhang, H. Yuan, N. Sun, H. Sun, and X. Zhang, Observation of novel topological states in hyperbolic lattices, Nat. Commun. 13, 2937 (2022).
- A. Chen et al., Hyperbolic matter in electrical circuits with tunable complex phases, Nat. Commun. 14, 622 (2023).
- C. W. Hsu, B. Zhen, A. Douglas Stone, J. D. Joannopoulos, and M. Soljačić, Bound states in the continuum, Nat. Rev. Mater. 1, 16048 (2016).
- J. Von Neumann and E. Wigner, Über merkwurdige diskrete Eigenworte, Phys. Z. 30, 465 (1929).
- B. Zhen, C. W. Hsu, L. Lu, A. Douglas Stone, and M. Soljačić, Topological nature of optical bound states in the continuum, Phys. Rev. Lett. 113, 257401 (2014).
- W. Liu, W. Liu, L. Shi, and Y. Kivshar, Topological polarization singularities in metaphotonics, Nanophotonics 10, 1469 (2021).
- S. Joseph, S. Pandey, S. Sarkar, and J. Joseph, Bound states in the continuum in resonant nanostructures: An overview of engineered materials for tailored applications, Nanophotonics 10, 4175 (2021).
- M. Kang, T. Liu, C. T. Chan, and M. Xiao, Applications of bound states in the continuum in photonics, Nat. Rev. Phys. 5, 659 (2023).
- D. Wang, Z. Liu, H. Wang, M. Li, L. Jay Guo, and C. Zhang, Structural color generation: From layered thin films to optical metasurfaces, Nanophotonics 12, 1019 (2023).
- W. Liu, H. Ma, and A. Walsh, Advance in photonic crystal solar cells, Renew. Sustain. Energ. Rev. 116, 109436 (2019).
- S. Fan and W. Li, Photonics and thermodynamics concepts in radiative cooling, Nat. Photonics 16, 182 (2022).
- K. Hirose, Y. Liang, Y. Kurosaka, A. Watanabe, T. Sugiyama, and S. Noda, Watt-class high-power, high-beam-quality photonic-crystal lasers, Nat. Photonics 8, 406 (2014).
- M. Yoshida, S. Katsuno, T. Inoue, J. Gelleta, K. Izumi, M. De Zoysa, K. Ishizaki, and S. Noda, High-brightness scalable continuous-wave single-mode photonic-crystal laser, Nature (London) 618, 727 (2023).
- L. Yang, G. Li, X. Gao, and L. Lu, Topological-cavity surface-emitting laser, Nat. Photonics 16, 279 (2022).
- M.-A. Miri and A. Alù, Exceptional points in optics and photonics, Science 363, eaar7709 (2019).
- E. J. Bergholtz, J. C. Budich, and F. K. Kunst, Exceptional topology of non-Hermitian systems, Rev. Mod. Phys. 93, 015005 (2021).
- K. Ding, C. Fang, and G. Ma, Non-Hermitian topology and exceptional-point geometries, Nat. Rev. Phys. 4, 745 (2022).
- J. Wiersig, Review of exceptional point-based sensors, Photonics Res. 8, 1457 (2020).
- R. Lin, T. Tai, L. Li, and C. H. Lee, Topological non-Hermitian skin effect, Front. Phys. 18, 53605 (2023).
- K. Zhang, Z. Yang, and C. Fang, Universal non-Hermitian skin effect in two and higher dimensions, Nat. Commun. 13, 2496 (2022).
- W. Wang, M. Hu, X. Wang, G. Ma, and K. Ding, Experimental realization of geometry-dependent skin effect in a reciprocal two-dimensional lattice, Phys. Rev. Lett. 131, 207201 (2023).
- F. Guan, X. Guo, K. Zeng, S. Zhang, Z. Nie, S. Ma, Q. Dai, J. Pendry, X. Zhang, and S. Zhang, Overcoming losses in superlenses with synthetic waves of complex frequency, Science 381, 766 (2023).
- M. A. Bandres, S. Wittek, G. Harari, M. Parto, J. Ren, M. Segev, D. N. Christodoulides, and M. Khajavikhan, Topological insulator laser: Experiments, Science 359, eaar4005 (2018).
- Y. Zeng et al., Electrically pumped topological laser with valley edge modes, Nature (London) 578, 246 (2020).
- A. Dikopoltsev et al., Topological insulator vertical-cavity laser array, Science 373, 1514 (2021).
- K. Takata, K. Nozaki, E. Kuramochi, S. Matsuo, K. Takeda, T. Fujii, S. Kita, A. Shinya, and M. Notomi, Observing exceptional point degeneracy of radiation with electrically pumped photonic crystal coupled-nanocavity lasers, Optica 8, 184 (2021).
- B. Zhu, Q. Wang, D. Leykam, H. Xue, Q. J. Wang, and Y. D. Chong, Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect, Phys. Rev. Lett. 129, 013903 (2022).
- M. M. Asgari, P. Garg, X. Wang, M. S. Mirmoosa, C. Rockstuhl, and V. Asadchy, Theory and applications of photonic time crystals: A tutorial, Adv. Opt. Photonics 16, 958 (2024).
- Emanuele Galiffi et al., Photonics of time-varying media, Adv. Opt. Photonics 4, 014002 (2022).
- E. Lustig, O. Segal, S. Saha, C. Fruhling, V. M. Shalaev, A. Boltasseva, and M. Segev, Photonic time-crystals: Fundamental concepts, Opt. Express 31, 9165 (2023).
- F. Wilczek, Quantum time crystals, Phys. Rev. Lett. 109, 160401 (2012).
- H. Watanabe and L. Lu, Space group theory of photonic bands, Phys. Rev. Lett. 121, 263903 (2018).
- J. Bae et al., Cavity quantum electrodynamics of photonic temporal crystals, arXiv:2501.03106.
- H. Xue, Y. Yang, and B. Zhang, Topological acoustics, Nat. Rev. Mater. 7, 974 (2022).
- X. Zhang, F. Zangeneh-Nejad, Z.-G. Chen, M.-H. Lu, and J. Christensen, A second wave of topological phenomena in photonics and acoustics, Nature (London) 618, 687 (2023).
- J. Lu, W. Deng, X. Huang, M. Ke, and Z. Liu, Non-Hermitian topological phononic metamaterials, Adv. Mater. 2307998 (2023).
- L. Huang et al., Acoustic resonances in non-Hermitian open systems, Nat. Rev. Phys. 6, 11 (2024).
- M. Yang and P. Sheng, Acoustic metamaterial absorbers: The path to commercialization, Appl. Phys. Lett. 122, 260504 (2023).
- W. Ma, Z. Liu, Z. A. Kudyshev, A. Boltasseva, W. Cai, and Y. Liu, Deep learning for the design of photonic structures, Nat. Photonics 15, 77 (2021).
- P. R. Wiecha, A. Arbouet, C. Girard, and O. L. Muskens, Deep learning in nano-photonics: Inverse design and beyond, Photonics Res. 9, B182 (2021).
- W. Ji et al., Recent advances in metasurface design and quantum optics applications with machine learning, physics-informed neural networks, and topology optimization methods, Light 12, 169 (2023).