Realization of a three-dimensional photonic topological insulator

Yablonovitch, E. Inhibited spontaneous emission in solid matter physics and electronics. Phys. Rev. Lett. 58, 2059-2062 (1987).

John, S. Strong localization of photons in some disordered dielectric superlites. Phys. Rev. Lett. 58, 2486-2489 (1987).

Yablonovitch, E., Gmitter, T. & Leung, K. Structure of photon belts: a faceted centered-cubic case that uses non-ateric atoms. Phys. Rev. Lett. 67, 2295-2298 (1991).

Hasan, M. Z. & Kane, C. L. Topological isolators. Rev. Mod. Phys. 82, 3045-3067 (2010).

Qi, X.-L. & Zhang, S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057-1110 (2011).

Lu, L., Joannopoulos, J. D. and Soljačić, M. Topological photonics. Nat. Foton. 8, 821-829 (2014).

Khanikaev, A. B. & Shvets, G. Two-dimensional topological photonics. Nat. Foton. 11, 763-773 (2017).

Ozawa, T. et al. Topological photonics. Preprint at https://arxiv.org/abs/1802.04173 (2018).

Bahari, B. et al. Non-evaluation in topological cavities of arbitrary geometries. Science 358, 636-640 (2017).

Bandres, M. A. et al. Topological laser insulator: experiments. Science 359, eaar4005 (2018).

Hafezi, M., Demler, E.A., Lukin, M.D. & Taylor, J. M. Robust optical delay lines with topological protection. Nat. Phys. 7, 907-912 (2011).

Lin, S.-y. et al. A three-dimensional photonic crystal operating on infrared wavelengths. Nature 394, 251-253 (1998).

Rinne, S. A., García-Santamaría, F. & Braun, P. V. Built cavities and waveguides in three-dimensional silicon photonic crystals. Nat. Foton. 2, 52-56 (2008).

Wang, Z., Chong, Y., Joannopoulos, J. D., and Soljačić, M. Observation of unidirectional reverse scattering-immune topological electromagnetic states. Nature 461, 772-775 (2009).

Khanikaev, A. B. et al. Photon topological insulators. Nat. Mater. 12, 233-239 (2013).

Lu, L. et al. Experimental observation of Weyl points. Science 349, 622-624 (2015).

Noh, J. et al. Experimental observation of optical Weyl points and Fermi surface states. Nat. Phys. 13, 611-617 (2017).

Yang, B. et al. Ideal Weylove points and helical surface states in artificial photonic crystal structures. Science 359, 1013-1016 (2018).

Yannopapas, V. Gapless surface states in the cavity of coupled cavities: photonic analogue of topological crystal insulators. Phys. Rev. B 84, 195126 (2011).

Lu, L. et al. Symmetrically protected topological photonic crystal in three dimensions. Nat. Phys. 12, 337-340 (2016).

Slobozhanyuk, A. et al. Three-dimensional all dielectric photon topological insulator. Nat. Foton. 11, 130-136 (2017).

Lin, Q., Sun, X.-Q., Xiao, M., Zhang, S.-C. & Fan, S. Production of a three-dimensional photonic topological insulator using a two-dimensional circular resonator grille with a synthetic frequency dimension. Preprint at https://arxiv.org/abs/1802.02597 (2018).

Ochiai, T. Gapless surface states originating from an inadvertently degenerate square band that touches on a three-dimensional tetragonal photonic crystal. Phys. Rev. A 96, 043842 (2017).

Fu, L., Kane, C. L. and Mele, E. J. Topological isolators in three dimensions. Phys. Rev. Lett. 98, 106803 (2007).

Mong, R. S., Bardarson, J. H. and Moore, J. E. Quantum transport and two-gauge scaling at the surface of a weak topological insulator. Phys. Rev. Lett. 108, 076804 (2012).

Ringel, Z., Kraus, Y. E. and Stern, A. The strong side of weak topological insulators. Phys. Rev. B 86, 045102 (2012).

Pendry, J. B., Holden, A. J., Robbins, D. and Stewart, W. Magnetism from conductors and improved non-linear phenomena. IEEE Trans. Microw. Theory Tech. 47, 2075-2084 (1999).

Barik, S. et al. Topological interface of quantum optics. Science 359, 666-668 (2018).

Cheng, X. et al. Robust reconfigurable electromagnetic paths in a photon topological isolator. Nat. Mater. 15, 542-548 (2016).

Marqués, R., Medina, F. & Rafii-El-Idrissi, R. The role of bianisotropy in negative permeability and left-handed metamaterials. Phys. Rev. B 65, 144440 (2002).

Ma, T., Khanikaev, A. B., Mousavi, S. H. and Shvets, G. Control of electromagnetic waves around sharp corners: topologically protected photon transport in metallic guides. Phys. Rev. Lett. 114, 127401 (2015).

Burckel, D. B. et al. Micrometer cubic unit cell 3D metamaterial layers. Adv. Mater. 22, 5053-5057 (2010).

Süsstrunk, R. and Huber, S. D. Observation of phonological screw boundary states in a mechanical topological isolator. Science 349, 47-50 (2015).

Guo, Q. et al. Three-dimensional photon Dirac points in metamaterials. Phys. Rev. Lett. 119, 213901 (2017).

Wu, L.-H. & Hu, X. Scheme for attaining a topological photonic crystal using dielectric material. Phys. Rev. Lett. 114, 223901 (2015).

Yves, S. et al. Crystalline metamaterials for topological properties on wavelength scales. Nat. Commun. 8, 16023 (2017).