Dirac-cone photonic surface states in three-dimensional photonic crystal slab

Optics Express

Volumn 19, Issue 15, 2011, Pages 13738-13749

  Zhong, Wei ^a   Zhang, Xiangdong ^a  

^a BEIJING NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVES; ELECTROMAGNETISM; PHOTONIC CRYSTALS;

DIRAC POINT; ELECTROMAGNETIC SURFACES; EXTREMAL; MULTIPLE SCATTERING METHOD; SUPERCELL CALCULATIONS; SURFACE STATE; THREE DIMENSIONAL PHOTONIC CRYSTALS;

THREE DIMENSIONAL;

EID: 79960489123     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.013738     Document Type: Article

References (41)

1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58(20), 2059-2062 (1987).
2. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58(23), 2486-2489 (1987).
3. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, "Photonic Crystal-Molding the Flow of Light," Princeton University Press, Princeton, NJ, (1995).
4. C. M. Soukoulis, "Photonic Band Gap Materials," Kluwer, Academic, Dordrecht (1996).
5. K. Sakoda, "Optical properties of photonic crystals," Springer (2001).
6. R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44(19), R10961 (1991).
7. W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Observation of surface photons on periodic dielectric arrays," Opt. Lett. 18(7), 528-530 (1993).
8. P. Etchegoin and R. T. Phillips, "Photon focusing, internal diffraction, and surface states in periodic dielectric structures," Phys. Rev. B Condens. Matter 53(19), 12674-12683 (1996).
9. J. Elson and P. Tran, "Coupled-mode calculation with the R-matrix propagator for the dispersion of surface waves on a truncated photonic crystal," Phys. Rev. B 54(3), 1711-1715 (1996).
10. F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: Effect of the position of the surface plane," Phys. Rev. B 59(23), 15112-15120 (1999).
11. W. M. Robertson and M. S. May, "Surface electromagnetic wave excitation on one-dimensional photonic band-gap arrays," Appl. Phys. Lett. 74(13), 1800-1803 (1999).
12. X. Zhang, L.-M. Li, Z.-Q. Zhang, and C. Chan, "Surface states in two-dimensional metallodielectric photonic crystals studied by a multiple-scattering method," Phys. Rev. B 63(12), 125114 (2001).
13. S. Enoch, E. Popov, and N. Bonod, "Analysis of the physical origin of surface modes on finite-size photonic crystals," Phys. Rev. B 72(15), 155101 (2005).
14. K. Ishizaki and S. Noda, "Manipulation of photons at the surface of three-dimensional photonic crystals," Nature 460(7253), 367-370 (2009).
15. C. L. Kane and E. J. Mele, "Z2 topological order and the quantum spin Hall effect," Phys. Rev. Lett. 95(14), 146802 (2005).
16. B. A. Bernevig and S. C. Zhang, "Quantum spin Hall effect," Phys. Rev. Lett. 96(10), 106802 (2006).
17. J. E. Moore, "The birth of topological insulators," Nature 464(7286), 194-198 (2010).
18. X.-L. Qi and S.-C. Zhang, "The quantum spin Hall effect and topological insulators," Phys. Today 63(1), 33 (2010).
19. D. Hsieh, D. Qian, L. Wray, Y. Xia, Y. S. Hor, R. J. Cava, and M. Z. Hasan, "A topological Dirac insulator in a quantum spin Hall phase," Nature 452(7190), 970-974 (2008). (Pubitemid 351606144)
20. D. Hsieh, Y. Xia, L. Wray, D. Qian, A. Pal, J. H. Dil, J. Osterwalder, F. Meier, G. Bihlmayer, C. L. Kane, Y. S. Hor, R. J. Cava, and M. Z. Hasan, "Observation of unconventional quantum spin textures in topological insulators," Science 323(5916), 919-922 (2009).
21. Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, "Observation of a large-gap topological-insulator class with a single Dirac cone on the surface," Nat. Phys. 5(6), 398-402 (2009).
22. Y. L. Chen, J. G. Analytis, J. H. Chu, Z. K. Liu, S.-K. Mo, X. L. Qi, H. J. Zhang, D. H. Lu, X. Dai, Z. Fang, S. C. Zhang, I. R. Fisher, Z. Hussain, and Z. X. Shen, "Experimental realization of a three-dimensional topological insulator, Bi2Te3," Science 325(5937), 178-181 (2009).
23. D. Hsieh, Y. Xia, D. Qian, L. Wray, J. H. Dil, F. Meier, J. Osterwalder, L. Patthey, J. G. Checkelsky, N. P. Ong, A. V. Fedorov, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, "A tunable topological insulator in the spin helical Dirac transport regime," Nature 460(7259), 1101-1105 (2009).
24. D. Hsieh, Y. Xia, D. Qian, L. Wray, F. Meier, J. H. Dil, J. Osterwalder, L. Patthey, A. V. Fedorov, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, "Observation of time-reversal-protected single-dirac-cone topological-insulator states in Bi2Te3 and Sb2Te3," Phys. Rev. Lett. 103(14), 146401 (2009).
25. H. J. Zhang, C. X. Liu, X. L. Qi, X. Dai, Z. Fang, and S.-C. Zhang, "Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface," Nat. Phys. 5(6), 438-442 (2009).
26. T. Zhang, P. Cheng, X. Chen, J.-F. Jia, X. Ma, K. He, L. Wang, H. Zhang, X. Dai, Z. Fang, X. Xie, and Q.-K. Xue, "Experimental demonstration of topological surface states protected by time-reversal symmetry," Phys. Rev. Lett. 103(26), 266803 (2009).
27. J. B. Pendry, "Low energy electron diffraction" (Academic, London, 1974).
28. N. Stefanou, V. Yannopapas, and A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Comput. Phys. Commun. 113(1), 49-77 (1998). (Pubitemid 128431360)
29. A. Modinos, "Scattering of electromagnetic waves by a plane of spheres-formalism," Physica A 141(2-3), 575-588 (1987).
30. F. S. Ham and B. Segall, "Energy bands in periodic lattices: Green's function method," Phys. Rev. 124(6), 1786-1796 (1961).
31. K. Kambe, "Theory of low-energy electron diffraction," 23a, 1280-1294 (1968).
32. A. Moroz, "Three-dimensional complete photonic-band-gap structures in the visible," Phys. Rev. Lett. 83(25), 5274-5277 (1999). (Pubitemid 129585407)
33. W. Y. Zhang, X. Y. Lei, Z. L. Wang, D. G. Zheng, W. Y. Tam, C. T. Chan, and P. Sheng, "Robust photonic band gap from tunable scatterers," Phys. Rev. Lett. 84(13), 2853-2856 (2000). (Pubitemid 40598916)
34. W. Y. Zhang, C. T. Chan, and P. Sheng, "Multiple scattering theory and its application to photonic band gap systems consisting of coated spheres," Opt. Express 8(3), 203-208 (2001).
35. (2) class of topological semiconductors," Phys. Rev. Lett. 105(3), 036404 (2010).
36. F. D. M. Haldane and S. Raghu, "Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry," Phys. Rev. Lett. 100(1), 013904 (2008).
37. S. Raghu and F. D. M. Haldane, "Analogs of quantum-Hall-effect edge states in photonic crystals," Phys. Rev. A 78(3), 033834 (2008).
38. R. A. Sepkhanov, Ya. B. Bazaliy, and C. W. J. Beenakker, "Extremal transmission at the Dirac point of a photonic band structure," Phys. Rev. A 75(6), 063813 (2007).
39. X. D. Zhang, "Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal," Phys. Rev. Lett. 100(11), 113903 (2008).
40. X. D. Zhang and Z. Y. Liu, "Extremal transmission and beating effect of acoustic waves in two-dimensional sonic crystals," Phys. Rev. Lett. 101(26), 264303 (2008).
41. S. R. Zandbergen and M. J. A. de Dood, "Experimental observation of strong edge effects on the pseudodiffusive transport of light in photonic graphene," Phys. Rev. Lett. 104(4), 043903 (2010).