Photonic topological insulators
Source abstract
Abstract
Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal-invariant topological insulators. A remarkable and useful property of these materials is that they support unidirectional spin-polarized propagation at their surfaces. Unfortunately topological insulators are rare among solid-state materials. Using suitably designed electromagnetic media (metamaterials) we theoretically demonstrate a photonic analogue of a topological insulator. We show that metacrystals-superlattices of metamaterials with judiciously designed properties-provide a platform for designing topologically non-trivial photonic states, similar to those that have been identified for condensed-matter topological insulators. The interfaces of the metacrystals support helical edge states that exhibit spin-polarized one-way propagation of photons, robust against disorder. Our results demonstrate the possibility of attaining one-way photon transport without application of external magnetic fields or breaking of time-reversal symmetry. Such spin-polarized one-way transport enables exotic spin-cloaked photon sources that do not obscure each other.
Source: europepmc · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Topological Materials and Phenomena · Metamaterials and Metasurfaces Applications · Graphene research and applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (49)
Show source-provided references
1. Kane, C. L. & Mele, E. J. Z2 topological order and the quantum spin Hall effect. Phys. Rev. Lett. 95, 146802 (2005).10.1103/PhysRevLett.95.146802 ↗
2. Kane, C. L. & Mele, E. J. Quantum spin Hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005).10.1103/PhysRevLett.95.226801 ↗
3. Fu, L., Kane, C. L. & Mele, E. J. Topological insulators in three dimensions. Phys. Rev. Lett. 98, 106803 (2007).10.1103/PhysRevLett.98.106803 ↗
4. Moore, J. E. & Balents, L. Topological invariants of time-reversal-invariant band structures. Phys. Rev. B 75, 121306 (2007).10.1103/PhysRevB.75.121306 ↗
5. Roy, R. Z2 classification of quantum spin Hall systems: An approach using time-reversal invariance. Phys. Rev. B 79, 195321 (2009).10.1103/PhysRevB.79.195321 ↗
6. Hasan, M. Z. & Kane, C. L. Colloquium: Topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010).10.1103/RevModPhys.82.3045 ↗
7. Qi, X-L. & Zhang, S-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057–1110 (2011).10.1103/RevModPhys.83.1057 ↗
8. König, M. Quantum spin Hall insulator state in HgTe quantum wells. Science 318, 766–770 (2007).10.1126/science.1148047 ↗
9. Hsieh, D. et al. A topological Dirac insulator in a quantum spin Hall phase. Nature 452, 970–974 (2008).10.1038/nature06843 ↗
10. Xia, Y. et al. Observation of a large-gap topological-insulator class with a single Dirac cone on the surface. Nature Phys. 5, 398–402 (2009).10.1038/nphys1274 ↗
11. Zhang, H. et al. Topological insulators in Bi2Se3, Bi2Te3, Sb2Te3 with a single Dirac cone on the surface. Nature Phys. 5, 438–442 (2009).10.1038/nphys1270 ↗
12. Lindner, N. l. H., Refael, G. & Galitski, V. Floquet topological insulators in semiconductor quantum wells. Nature Phys. 7, 490–495 (2011).10.1038/nphys1926 ↗
13. Haldane, F. & Raghu, S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett. 100, 013904 (2008).10.1103/PhysRevLett.100.013904 ↗
14. Wang, Z., Chong, Y., Joannopoulos, J. & Soljaćić, M. Reflection-free one-way edge modes in a gyromagnetic photonic crystal. Phys. Rev. Lett. 100, 013905 (2008).10.1103/PhysRevLett.100.013905 ↗
15. Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nature Phys. 7, 907–912 (2011).10.1038/nphys2063 ↗
16. Smith, D. R., Padilla, W. J., Vier, D. C., Nemat-Nasser, S. C. & Schultz, S. Composite medium with simultaneously negative permeability and permittivity. Phys. Rev. Lett. 84, 4184–4187 (2000).10.1103/PhysRevLett.84.4184 ↗
17. Smith, D. R., Pendry, J. B. & Wiltshire, M. C. K. Metamaterials and negative refractive index. Science 305, 788–792 (2004).10.1126/science.1096796 ↗
18. Ulf, L. Optical conformal mapping. Science 312, 1777–1780 (2006).10.1126/science.1126493 ↗
19. Pendry, J. B., Schurig, D. & Smith, D. R. Controlling electromagnetic fields. Science 312, 1780–1782 (2006).10.1126/science.1125907 ↗
20. Chen, H., Chan, C. T. & Sheng, P. Transformation optics and metamaterials. Nature Mater. 9, 387–396 (2010).10.1038/nmat2743 ↗
21. Veselago, V. G. The electrodynamics of substances with simultaneously negative values of permittivity and permeability. Soviet Phys. Usp. 10, 509–514 (1968).10.1070/PU1968v010n04ABEH003699 ↗
22. Pendry, J. B. Negative refraction makes a perfect lens. Phys. Rev. Lett. 85, 3966–3969 (2000).10.1103/PhysRevLett.85.3966 ↗
23. Schurig, D. et al. Metamaterial electromagnetic cloak at microwave frequencies. Science 314, 977–980 (2006).10.1126/science.1133628 ↗
24. Raghu, S. & Haldane, F. D. M. Analogs of quantum-Hall-effect edge states in photonic crystals. Phys. Rev. A 78, 033834 (2008).10.1103/PhysRevA.78.033834 ↗
25. Fang, K., Yu, Z. & Fan, S. Microscopic theory of photonic one-way edge mode. Phys. Rev. B 84, 075477 (2011).10.1103/PhysRevB.84.075477 ↗
26. Wang, Z., Chong, Y., Joannopoulos, J. D. & Soljaćić, M. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature 461, 772–775 (2009).10.1038/nature08293 ↗
27. Poo, Y., Wu, R., Lin, Z., Yang, Y. & Chan, C. T. Experimental realization of self-guiding unidirectional electromagnetic edge states. Phys. Rev. Lett. 106, 093903 (2011).10.1103/PhysRevLett.106.093903 ↗
28. Zharov, A. A., Shadrivov, I. V. & Kivshar, Y. S. Nonlinear properties of left-handed metamaterials. Phys. Rev. Lett. 91, 037401 (2003).10.1103/PhysRevLett.91.037401 ↗
29. Klein, M. W., Enkrich, C., Wegener, M. & Linden, S. Second-harmonic generation from magnetic metamaterials. Science 313, 502–504 (2006).10.1126/science.1129198 ↗
30. Poutrina, E., Huang, D. & Smith, D. R. Analysis of nonlinear electromagnetic metamaterials. New J. Phys. 12, 093010 (2010).10.1088/1367-2630/12/9/093010 ↗
31. Maciejko, J., Hughes, T. L. & Zhang, S-C. The quantum spin Hall effect. Annu. Rev. Condens. Matter Phys. 2, 31–53 (2011).10.1146/annurev-conmatphys-062910-140538 ↗
32. Kong, J. A. Theorems of bianisotropic media. Proc. IEEE 60, 1036–1046 (1972).10.1109/PROC.1972.8851 ↗
33. Serdyukov, A. N., Semchenko, I. V., Tretyakov, S. A. & Sihvola, A. Electromagnetics of Bi-Anisotropic Materials: Theory and Applications (Gordon and Breach Science, 2001).
34. Pendry, J. B., Holden, A. J., Robbins, D. J. & Stewart, W. J. Magnetism from conductors, and enhanced non-linear phenomena. Microw. Theory Technol. 47, 2075–2084 (1999).10.1109/22.798002 ↗
35. Shelby, R. A., Smith, D. R. & Schultz, S. Experimental verification of a negative index of refraction. Science 292, 77–79 (2001).10.1126/science.1058847 ↗
36. Marqués, R., Medina, F. & Rafii-El-Idrissi, R. Role of bianisotropy in negative permeability and left-handed metamaterials. Phys. Rev. B 65, 144440 (2002).10.1103/PhysRevB.65.144440 ↗
37. Rill, M. S. et al. Negative-index bianisotropic photonic metamaterial fabricated by direct laser writing and silver shadow evaporation. Opt. Lett. 34, 19–21 (2009).10.1364/OL.34.000019 ↗
38. Li, Z., Aydin, K. & Ozbay, E. Determination of the effective constitutive parameters of bianisotropic metamaterials from reflection and transmission coefficients. Phys. Rev. E 79, 026610 (2009).10.1103/PhysRevE.79.026610 ↗
39. Saadoun, M. M. I. & Engheta, N. A reciprocal phase shifter using novel pseudochiral or ω medium. Microw. Opt. Technol. Lett. 5, 184–188 (1992).10.1002/mop.4650050412 ↗
40. Tretyakov, S. A., Simovski, C. R. & Hudlička, M. Bianisotropic route to the realization and matching of backward-wave metamaterial slabs. Phys. Rev. B 75, 153104 (2007).10.1103/PhysRevB.75.153104 ↗
41. Tretyakov, S. A., Mariotte, F., Simovski, C. R., Kharina, T. G. & Heliot, J-P. Analytical antenna model for chiral scatterers: Comparison with numerical and experimental data. IEEE Trans. Antennas Propag. 44, 1006–1014 (1996).10.1109/8.504309 ↗
42. Plum, E., Schwanecke, V. A. F., Zheludev, A. S. & Chen, N. I. Giant optical gyrotropy due to electromagnetic coupling. Appl. Phys. Lett. 90, 223113 (2007).10.1063/1.2745203 ↗
43. Gansel, J. K. et al. Gold helix photonic metamaterial as broadband circular polarizer. Science 325, 1513–1515 (2009).10.1126/science.1177031 ↗
44. Saenz, E. et al. Modeling of spirals with equal dielectric, magnetic, and chiral susceptibilities. Electromagnetics 28, 476–493 (2008).10.1080/02726340802322528 ↗
45. Urzhumov, Y. A. & Shvets, G. Extreme anisotropy of wave propagation in two-dimensional photonic crystals. Phys. Rev. E 72, 026608 (2005).10.1103/PhysRevE.72.026608 ↗
46. Haldane, F. D. M. Model for a quantum Hall effect without landau levels: Condensed-matter realization of the parity anomaly. Phys. Rev. Lett. 61, 2015–2018 (1988).10.1103/PhysRevLett.61.2015 ↗
47. Bernevig, B. A., Hughes, T. L. & Zhang, S. C. Quantum spin Hall effect and topological phase transition in HgTe quantum wells. Science 314, 1757–1761 (2006).10.1126/science.1133734 ↗
48. Murakami, S., Nagaosa, N. & Zhang, S-C. Dissipationless quantum spin current at room temperature. Science 301, 1348–1351 (2003).10.1126/science.1087128 ↗
49. Sheng, D. N., Weng, Z. Y., Sheng, L. & Haldane, F. D. M. Quantum spin-Hall effect and topologically invariant Chern numbers. Phys. Rev. Lett. 97, 036808 (2006).10.1103/PhysRevLett.97.036808 ↗