Chern and Majorana modes of quasiperiodic systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 88, Issue 5, 2013, Pages

  Satija, Indubala I ^a,b   Naumis, Gerardo G ^a,b  

^a GEORGE MASON UNIVERSITY   (United States)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84884838150     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.88.054204     Document Type: Article

References (38)

1. C. Janot, Quasicrystals, 2nd ed. (Clarendon, Oxford, 1994).
2. Y. E. Kraus, Y. Lahini, Z. Ringel, M. Verbin, and O. Zilberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.106402 109, 106402 (2012).
3. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.3045 82, 3045 (2010).
4. Y. Hatsugai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 3697 71, 3697 (1993).
5. 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).
6. M. Verbin, O. Zilberberg, Y. E. Kraus, Y. Lahini, and Y. Silberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.076403 110, 076403 (2013).
7. Y. E. Kraus and O. Zilberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.116404 109, 116404 (2012).
8. G. G. Naumis and F. J. Lopez-Rodriguez, Physica B 10.1016/j.physb.2007. 10.016 403, 1755 (2008). (Pubitemid 351417332)
9. W. DeGottardi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110. 146404 110, 146404 (2013);
10. X. Cai, arXiv: 1208.2532.
11. A. Kitaev, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2005.10.005 321, 2 (2006). (Pubitemid 43072824)
12. S. Aubry and G. Andre, Ann. Isr. Phys. Soc. 3, 133 (1980).
13. S. Ostlund and R. Pandit, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.29.1394 29, 1394 (1984).
14. G. G. Naumis, C. Wang, M. F. Thorpe, and R. A. Barrio, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.14302 59, 14302 (1999);
15. G. G. Naumis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.144204 71, 144204 (2005). (Pubitemid 41755509)
16. D. Levine and P. J. Steinhardt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.34.596 34, 596 (1986).
17. D. J. Thouless, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.28.4272 28, 4272 (1983).
18. E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, Redewood City, California, 1991), p. 287.
19. E. Zhao, N. Bray-Ali, C. J. Williams, I. B. Spielman, and I. I. Satija, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.063629 84, 063629 (2011).
20. G. Naumis and J. L. Aragon, Z. Kristallogr. ZEKRDZ 0044-2968 10.1524/zkri.218.6.397.20728 218, 1 (2003).
21. L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.055501 90, 055501 (2003).
22. J. Friedel, Nuovo Cimento, Suppl. 10.1007/BF02751483 7, 287 (1958).
23. A. M. Rey, I. I. Satija, and C. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.063610 73, 063610 (2006). (Pubitemid 43876501)
24. B. Paredes, A. Wideara, V. Murg, O. Mandel, S. Folling, I. Cirac, G. V. Shlyapnikov, T. W. Hansch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004). (Pubitemid 38684809)
25. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(61)90115-4 16, 407 (1961).
26. I. I. Satija and M. M. Doria, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.39.9757 39, 9757 (1989);
27. J. Ketoja and I. Satija, Physica A PHYADX 0378-4371 10.1016/0378-4371(95) 00167-6 219, 212 (1995).
28. J. A. Ketoja and I. I. Satija, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2762 75, 2762 (1995).
29. V. Guarrera, N. Fabbri, L. Fallani, C. Fort, K. M. R. van der Stam, and M. Inguscio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.250403 100, 250403 (2008).
30. R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023604 68, 023604 (2003);
31. R. Citro, A. Minguzzi, and E. Orignac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013625 78, 013625 (2008).
32. M. Hafezi, E. A. Demler, M. D. Lukin, and J. M. Taylor, Nature Phys. 1745-2473 10.1038/nphys2063 7, 907 (2011).
33. V. Mourik, K. Zuo, S. Frolov, S. Plissard, E. Bakkers, and L. P. Kouwenhoven, Science SCIEAS 0036-8075 10.1126/science.1222360 336, 1003 (2012);
34. X. Liu and J. K. Furdyna, Nature Phys. 1745-2473 10.1038/nphys2268 8, 795 (2012);
35. C. W. J. Beenakker, Annu. Rev. Condens. Matter Phys. 10.1146/annurev- conmatphys-030212-184337 4, 113 (2013).
36. S. Iyer, V. Oganesyan, G. Refael, and D. A. Huse, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87.134202 87, 134202 (2013).
37. D. Hofstadter, Phys. Rev. B 1098-0121 10.1103/PhysRevB.14.2239 14, 2239 (1976).
38. C. R. Dean, Nature 10.1038/nature12186 497, 598 (2013).