Existence of majorana-fermion bound states on disclinations and the classification of topological crystalline superconductors in two dimensions

Physical Review Letters

Volumn 111, Issue 4, 2013, Pages

  Teo, Jeffrey C Y ^a   Hughes, Taylor L ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUND STATE; DISCLINATIONS; ROTATION INVARIANT; ROTATION SYMMETRY; TOPOLOGICAL CLASSIFICATION; TOPOLOGICAL CRITERIA; TWO-DIMENSION; ZERO ENERGIES;

CRYSTALLINE MATERIALS; POINT DEFECTS; SUPERCONDUCTING MATERIALS; SUPERCONDUCTIVITY;

TOPOLOGY;

EID: 84881508761     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.111.047006     Document Type: Article

References (38)

1. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
2. A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Phys. Rev. B 78, 195125 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.195125
3. X. L. Qi, T. L. Hughes, and S. C. Zhang, Phys. Rev. B 78, 195424 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.195424
4. A. Kitaev, AIP Conf. Proc. 1134, 22 (2009). APCPCS 0094-243X 10.1063/1.3149495
5. L. Fu and C. L. Kane, Phys. Rev. B 76, 045302 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76.045302
6. J. C. Y. Teo, L. Fu, and C. L. Kane, Phys. Rev. B 78, 045426 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.045426
7. L. Fu, Phys. Rev. Lett. 106, 106802 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.106802
8. T. L. Hughes, E. Prodan, and B. A. Bernevig, Phys. Rev. B 83, 245132 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.245132
9. A. M. Turner, Y. Zhang, and A. Vishwanath, Phys. Rev. B 82, 241102(R) (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.241102
10. T. Hsieh, H. Lin, J. Liu, W. Duan, A. Bansil, and L. Fu, Nat. Commun. 3, 982 (2012). NCAOBW 2041-1723 10.1038/ncomms1969
11. P. Dziawa, B. J. Kowalski, K. Dybko, R. Buczko, A. Szczerbakow, M. Szot, E. Lusakowska, T. Balasubramanian, B. M. Wojek, M. H. Berntsen, O. Tjernberg, and T. Story, arXiv:1206.1705.
12. S.-Y. Xu, C. Liu, N. Alidoust, D. Qian, M. Neupane, J. D. Denlinger, Y. J. Wang, L. A. Wray, R. J. Cava, H. Lin, A. Marcinkova, E. Morosan, A. Bansil, and M. Z. Hasan, arXiv:1206.2088.
13. C. Fang, M. J. Gilbert, X. Dai, and B. A. Bernevig, Phys. Rev. Lett. 108, 266802 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.266802
14. C. Fang, M. J. Gilbert, and B. A. Bernevig, Phys. Rev. B 86, 115112 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.115112
15. C. Fang, M. J. Gilbert, and B. A. Bernevig, Phys. Rev. B 87, 035119 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.035119
16. Z. Ringel, Y. E. Kraus, and A. Stern, Phys. Rev. B 86, 045102 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.045102
17. R. S. K. Mong, J. H. Bardarson, and J. E. Moore, Phys. Rev. Lett. 108, 076804 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.076804
18. Y. Ran, Y. Zhang, and A. Vishwanath, Nat. Phys. 5, 298 (2009). NPAHAX 1745-2473 10.1038/nphys1220
19. J. C. Y. Teo and C. L. Kane, Phys. Rev. B 82, 115120 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.115120
20. Y. Ran, arXiv:1006.5454.
21. D. Asahi and N. Nagaosa, Phys. Rev. B 86, 100504(R) (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.100504
22. V. Juricic, A. Mesaros, R.-J. Slager, and J. Zaanen, Phys. Rev. Lett. 108, 106403 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.106403
23. M. A. H. Vozmediano, M. I. Katsnelson, and F. Guinea, Phys. Rep. 496, 109 (2010). PRPLCM 0370-1573 10.1016/j.physrep.2010.07.003
24. E. A. Kochetov, V. A. Osipov, and R. Pincak, J. Phys. Condens. Matter 22, 395502 (2010). JCOMEL 0953-8984 10.1088/0953-8984/22/39/395502
25. A. Regg and C. Lin, Phys. Rev. Lett. 110, 046401 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.046401
26. N. Read and D. Green, Phys. Rev. B 61, 10267 (2000). PRBMDO 0163-1829 10.1103/PhysRevB.61.10267
27. D. A. Ivanov, Phys. Rev. Lett. 86, 268 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.268 (Pubitemid 32131693)
28. V. Volterra, Ann. Scient. Ec. Norm. Sup. 24, 401 (1907); ASENAH 0012-9593
29. N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979); RMPHAT 0034-6861 10.1103/RevModPhys.51.591
30. D. R. Nelson, Defects and Geometry in Condensed Matter Physics (Cambridge University Press, Cambridge, England, 2002);
31. M. Kleman and J. Friedel, Rev. Mod. Phys. 80, 61 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.61
32. A. Kitaev, Phys. Usp. 44, 131 (2001). PHUSEY 1063-7869 10.1070/1063-7869/44/10S/S29
33. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49, 405 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.49.405
34. G. E. Volovik, The Universe in a Helium Droplet (Clarendon, Oxford, 2003).
35. A. Kitaev, Ann. Phys. (Amsterdam) 321, 2 (2006). APNYA6 0003-4916 10.1016/j.aop.2005.10.005 (Pubitemid 43072824)
36. G. F. Koster, J. O. Dimmock, R. G. Wheeler, and H. Statz, Properties of the Thirty-Two Point Groups (MIT, Cambridge, MA, 1963);
37. C. J. Bradley and A. P. Cracknell, The Mathematical Theory of Symmetry in Solids: Representation Theory for Point Groups and Space Groups (Oxford University, New York, 1972).
38. See Supplementary Material http://link.aps.org/supplemental/10.1103/ PhysRevLett.111.047006 for more detail.