Photonic analog of graphene model and its extension: Dirac cone, symmetry, and edge states

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 15, 2009, Pages

  Ochiai, Tetsuyuki ^a   Onoda, Masaru ^b  

^a NATIONAL INSTITUTE FOR MATERIALS SCIENCE   (Japan)

^b AKITA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 71449093758     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.155103     Document Type: Article

References (34)

1. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Nature (London) 438, 197 (2005). 10.1038/nature04233
2. A. K. Geim and K. S. Novoselov, Nature Mater. 6, 183 (2007). 10.1038/nmat1849
3. O. Klein, Z. Phys. 53, 157 (1929). 10.1007/BF01339716
4. E. Schrödinger, Sitzungsber. Preuss. Akad. Wiss., Phys. Math. Kl. 24, 418 (1930).
5. M. Fujita, K. Wakabayashi, K. Nakada, and K. Kusakabe, J. Phys. Soc. Jpn. 65, 1920 (1996). 10.1143/JPSJ.65.1920
6. K. Nakada, M. Fujita, G. Dresselhaus, and M. S. Dresselhaus, Phys. Rev. B 54, 17954 (1996). 10.1103/PhysRevB.54.17954
7. J. E. Avron, R. Seiler, and B. Simon, Phys. Rev. Lett. 51, 51 (1983). 10.1103/PhysRevLett.51.51
8. G. W. Semenoff, Phys. Rev. Lett. 53, 2449 (1984); 10.1103/PhysRevLett.53. 2449
9. W. Yao, S. A. Yang, and Q. Niu, Phys. Rev. Lett. 102, 096801 (2009). 10.1103/PhysRevLett.102.096801
10. F. D. M. Haldane, Phys. Rev. Lett. 61, 2015 (1988). 10.1103/PhysRevLett. 61.2015
11. C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95, 226801 (2005). 10.1103/PhysRevLett.95.226801
12. R. A. Sepkhanov, Y. B. Bazaliy, and C. W. J. Beenakker, Phys. Rev. A 75, 063813 (2007). 10.1103/PhysRevA.75.063813
13. X. Zhang, Phys. Rev. Lett. 100, 113903 (2008). 10.1103/PhysRevLett.100. 113903
14. R. A. Sepkhanov, A. Ossipov, and C. W. J. Beenakker, EPL 85, 14005 (2009). 10.1209/0295-5075/85/14005
15. D. Cassagne, C. Jouanin, and D. Bertho, Phys. Rev. B 52, R2217 (1995). 10.1103/PhysRevB.52.R2217
16. Y. D. Chong, X. G. Wen, and M. Soljačić, Phys. Rev. B 77, 235125 (2008). 10.1103/PhysRevB.77.235125
17. M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. E 74, 066610 (2006). 10.1103/PhysRevE.74.066610
18. M. Onoda and T. Ochiai, Phys. Rev. Lett. 103, 033903 (2009). 10.1103/PhysRevLett.103.033903
19. Although the tight-binding approximation is often employed in modeling of graphene, this approximation cannot visualize wave functions directly.
20. Y. Hatsugai, Phys. Rev. Lett. 71, 3697 (1993). 10.1103/PhysRevLett.71. 3697
21. B. I. Halperin, Phys. Rev. B 25, 2185 (1982). 10.1103/PhysRevB.25.2185
22. X. G. Wen, Phys. Rev. B 43, 11025 (1991). 10.1103/PhysRevB.43.11025
23. F. D. M. Haldane and S. Raghu, Phys. Rev. Lett. 100, 013904 (2008). 10.1103/PhysRevLett.100.013904
24. Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljačić, Phys. Rev. Lett. 100, 013905 (2008). 10.1103/PhysRevLett.100.013905
25. Z. Yu, G. Veronis, Z. Wang, and S. Fan, Phys. Rev. Lett. 100, 023902 (2008). 10.1103/PhysRevLett.100.023902
26. S. Raghu and F. D. M. Haldane, Phys. Rev. A 78, 033834 (2008). 10.1103/PhysRevA.78.033834
27. H. Takeda and S. John, Phys. Rev. A 78, 023804 (2008). 10.1103/PhysRevA.78.023804
28. J. B. Pendry, Low Energy Electron Diffraction (Academic, London, 1974).
29. K. Ohtaka, T. Ueta, and K. Amemiya, Phys. Rev. B 57, 2550 (1998). 10.1103/PhysRevB.57.2550
30. K. Ohtaka, J. I. Inoue, and S. Yamaguti, Phys. Rev. B 70, 035109 (2004). 10.1103/PhysRevB.70.035109
31. Y. Ono, T. Ohtsuki, and B. Kramer, J. Phys. Soc. Jpn. 58, 1705 (1989). 10.1143/JPSJ.58.1705
32. J. Bravo-Abad, T. Ochiai, and J. Sánchez-Dehesa, Phys. Rev. B 67, 115116 (2003). 10.1103/PhysRevB.67.115116
33. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Butterworth-Heinemann, Oxford, 1985).
34. D. Han, Y. Lai, J. Zi, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 123904 (2009). 10.1103/PhysRevLett.102.123904