Analogs of quantum-Hall-effect edge states in photonic crystals

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 3, 2008, Pages

  Raghu, S ^a   Haldane, F D M ^b  

^a STANFORD UNIVERSITY   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL ATOMIC STRUCTURE; CRYSTAL SYMMETRY; CRYSTALLOGRAPHY; CRYSTALS; HALL EFFECT DEVICES; MAGNETIC FIELDS; MOLECULAR PHYSICS; PHOTONICS; POWDERS;

EDGE STATES; PHOTONIC; PHOTONIC BANDS; QUANTUM-HALL EFFECTS; SYMMETRY-BREAKING; TIME-REVERSAL;

PHOTONIC CRYSTALS;

EID: 53349153676     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.033834     Document Type: Article

References (25)

1. J. D. Joannopoulos, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, NJ, 1995).
2. R. Marques, J. Martel, F. Mesa, and F. Medina, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.183901 89, 183901 (2002).
3. Shawn-Yu Lin, Edmund Chow, Vince Hietala, and Pierre R. Villeneuve, Science SCIEAS 0036-8075 10.1126/science.282.5387.274 282, 274 (1998).
4. G. Sundaram and Q. Niu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.14915 59, 14915 (1999).
5. B. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.2167 51, 2167 (1983).
6. M. V. Berry, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1984.0023 392, 45 (1984).
7. M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.083901 93, 083901 (2004).
8. F. D. M. Haldane and S. Raghu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.013904 100, 013904 (2008).
9. Wei-Li Lee, Satoshi Watauchi, V. L. Miller, R. J. Cava, and N. P. Ong, Science SCIEAS 0036-8075 10.1126/science.1094383 303, 1647 (2004).
10. K. v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.45.494 45, 494 (1980).
11. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
12. D. R. Hofstadter, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.14.2239 14, 2239 (1976).
13. M. C. Chang and Q. Niu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.7010 53, 7010 (1996).
14. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.405 49, 405 (1982).
15. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2015 61, 2015 (1988).
16. M. Onoda and N. Nagaosa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.206601 90, 206601 (2003).
17. C. L. Kane and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.146802 95, 146802 (2005);
18. C. L. Kane and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801 95, 226801 (2005).
19. S. Pancharatnam, Proc. Indian Acad. Sci., Sect. A PISAA7 0370-0089 44A, 247 (1956).
20. R. Karplus and J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.95.1154 95, 1154 (1954).
21. M. Kohmoto, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(85) 90148-4 160, 343 (1985).
22. R. C. Booth and E. A. D. White, J. Phys. D JPAPBE 0022-3727 10.1088/0022-3727/17/3/015 17, 579 (1984).
23. L. D. Landau and L. P. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Elsevier Science, Burlington, MA, 2003).
24. M. Plihal and A. A. Maradudin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.8565 44, 8565 (1991).
25. D. J. Thouless, Topological Quantum Number in Nonrelativistic Physics (World Scientific, Singapore, 1998).