Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 21, 2010, Pages

  Sau, Jay D ^a   Tewari, Sumanta ^a,b   Lutchyn, Roman M ^a   Stanescu, Tudor D ^a,c   Das Sarma, S ^a  

^a Bldg 142   (United States)

^b CLEMSON UNIVERSITY   (United States)

^c WEST VIRGINIA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78650827330     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.214509     Document Type: Article

References (84)

1. J. M. Leinaas and J. Myrheim, Nuovo Cimento Soc. Ital. Fis., B 37, 1 (1977). 10.1007/BF02727953
2. F. Wilczek, Phys. Rev. Lett. 48, 1144 (1982). 10.1103/PhysRevLett.48.1144
3. F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990).
4. C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008). 10.1103/RevModPhys.80.1083
5. A. Yu. Kitaev, Ann. Phys. 303, 2 (2003). 10.1016/S0003-4916(02)00018-0 (Pubitemid 36177417)
6. M. H. Freedman, M. J. Larsen, and Z. A. Wang, Commun. Math. Phys. 227, 605 (2002). 10.1007/s002200200645 (Pubitemid 36195023)
7. E. Majorana, Nuovo Cimento 5, 171 (1937). 10.1007/BF02961314
8. F. Wilczek, Nat. Phys. 5, 614 (2009). 10.1038/nphys1380
9. A. Stern, Nature (London) 464, 187 (2010). 10.1038/nature08915
10. G. Moore and N. Read, Nucl. Phys. B 360, 362 (1991). 10.1016/0550- 3213(91)90407-O
11. C. Nayak and F. Wilczek, Nucl. Phys. B 479, 529 (1996). 10.1016/0550-3213(96)00430-0 (Pubitemid 126161210)
12. N. Read and D. Green, Phys. Rev. B 61, 10267 (2000). 10.1103/PhysRevB.61. 10267
13. S. Das Sarma, M. Freedman, and C. Nayak, Phys. Rev. Lett. 94, 166802 (2005). 10.1103/PhysRevLett.94.166802 (Pubitemid 40620334)
14. A. Stern and B. I. Halperin, Phys. Rev. Lett. 96, 016802 (2006). 10.1103/PhysRevLett.96.016802 (Pubitemid 43248385)
15. P. Bonderson, A. Kitaev, and K. Shtengel, Phys. Rev. Lett. 96, 016803 (2006). 10.1103/PhysRevLett.96.016803 (Pubitemid 43248386)
16. P. Bonderson, K. Shtengel, and J. K. Slingerland, Phys. Rev. Lett. 97, 016401 (2006). 10.1103/PhysRevLett.97.016401 (Pubitemid 44015291)
17. B. Rosenow, B. I. Halperin, S. H. Simon, and A. Stern, Phys. Rev. Lett. 100, 226803 (2008). 10.1103/PhysRevLett.100.226803
18. M. M. Salomaa and G. E. Volovik, Phys. Rev. B 37, 9298 (1988). 10.1103/PhysRevB.37.9298
19. D. A. Ivanov, Phys. Rev. Lett. 86, 268 (2001). 10.1103/PhysRevLett.86.268 (Pubitemid 32131693)
20. A. Stern, F. von Oppen, and E. Mariani, Phys. Rev. B 70, 205338 (2004). 10.1103/PhysRevB.70.205338 (Pubitemid 40153560)
21. S. Das Sarma, C. Nayak, and S. Tewari, Phys. Rev. B 73, 220502 (R) (2006). 10.1103/PhysRevB.73.220502 (Pubitemid 43882685)
22. S. Tewari, S. Das Sarma, and D. H. Lee, Phys. Rev. Lett. 99, 037001 (2007). 10.1103/PhysRevLett.99.037001 (Pubitemid 47117670)
23. S. Tewari, S. Das Sarma, C. Nayak, C. W. Zhang, and P. Zoller, Phys. Rev. Lett. 98, 010506 (2007). 10.1103/PhysRevLett.98.010506 (Pubitemid 46135095)
24. S. Tewari, C. W. Zhang, S. Das Sarma, C. Nayak, and D.-H. Lee, Phys. Rev. Lett. 100, 027001 (2008). 10.1103/PhysRevLett.100.027001 (Pubitemid 351164819)
25. C.-H. Cheng and S.-K. Yip, Phys. Rev. Lett. 95, 070404 (2005). 10.1103/PhysRevLett.95.070404 (Pubitemid 41505970)
26. V. Gurarie, L. Radzihovsky, and A. V. Andreev, Phys. Rev. Lett. 94, 230403 (2005). 10.1103/PhysRevLett.94.230403 (Pubitemid 41636524)
27. V. Gurarie and L. Radzihovsky, Phys. Rev. B 75, 212509 (2007). 10.1103/PhysRevB.75.212509
28. G. E. Volovik, Pis'ma Zh. Eksp. Teor. Fiz. 91, 61 (2010).
29. M. Silaev and G. Volovik, J. Low Temp. Phys. 161, 420 (2010). 10.1007/s10909-010-0226-z
30. Y. Nishida, Phys. Rev. D 81, 074004 (2010). 10.1103/PhysRevD.81.074004
31. M. Wimmer, A. Akhmerov, M. Medvedyeva, J. Tworzydlo, and C. Beenakker, Phys. Rev. Lett. 105, 046803 (2010). 10.1103/PhysRevLett.105.046803
32. A. Y. Kitaev, Ann. Phys. (N.Y.) 321, 2 (2006). 10.1016/j.aop.2005.10.005 (Pubitemid 43072824)
33. H. Yao and S. A. Kivelson, Phys. Rev. Lett. 99, 247203 (2007). 10.1103/PhysRevLett.99.247203 (Pubitemid 350276635)
34. S. Trebst, P. Werner, M. Troyer, K. Shtengel, and C. Nayak, Phys. Rev. Lett. 98, 070602 (2007). 10.1103/PhysRevLett.98.070602
35. L.-M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. 91, 090402 (2003). 10.1103/PhysRevLett.91.090402
36. C. W. Zhang, V. W. Scarola, S. Tewari, and S. Das Sarma, Proc. Natl. Acad. Sci. U.S.A. 104, 18415 (2007). 10.1073/pnas.0709075104 (Pubitemid 350214396)
37. L. Fu and C. L. Kane, Phys. Rev. Lett. 100, 096407 (2008). 10.1103/PhysRevLett.100.096407 (Pubitemid 351399080)
38. R. Jackiw and P. Rossi, Nucl. Phys. B 190, 681 (1981). 10.1016/0550-3213(81)90044-4
39. L. Fu and C. L. Kane, Phys. Rev. Lett. 102, 216403 (2009). 10.1103/PhysRevLett.102.216403
40. A. R. Akhmerov, J. Nilsson, and C. W. J. Beenakker, Phys. Rev. Lett. 102, 216404 (2009). 10.1103/PhysRevLett.102.216404
41. L. Fu, Phys. Rev. Lett. 104, 056402 (2010). 10.1103/PhysRevLett.104. 056402
42. J. Sau, R. Lutchyn, S. Tewari, and S. Das Sarma, Phys. Rev. B 82, 094522 (2010). 10.1103/PhysRevB.82.094522
43. T. D. Stanescu, J. D. Sau, R. M. Lutchyn, and S. Das Sarma, Phys. Rev. B 81, 241310 (2010). 10.1103/PhysRevB.81.241310
44. J. Nilsson and A. R. Akhmerov, Phys. Rev. B 81, 205110 (2010). 10.1103/PhysRevB.81.205110
45. K. T. Law, P. A. Lee, and T. K. Ng, Phys. Rev. Lett. 103, 237001 (2009). 10.1103/PhysRevLett.103.237001
46. J. Nilsson, A. R. Akhmerov, and C. W. J. Beenakker, Phys. Rev. Lett. 101, 120403 (2008). 10.1103/PhysRevLett.101.120403
47. Y. Tanaka, T. Yokoyama, and N. Nagaosa, Phys. Rev. Lett. 103, 107002 (2009). 10.1103/PhysRevLett.103.107002
48. P. Lee, arXiv:0907.2681 (unpublished).
49. X. Qi, T. Hughes, and S. Zhang, arXiv:1003.5448 (unpublished).
50. C. W. Zhang, S. Tewari, R. M. Lutchyn, and S. Das Sarma, Phys. Rev. Lett. 101, 160401 (2008). 10.1103/PhysRevLett.101.160401
51. M. Sato, Y. Takahashi, and S. Fujimoto, Phys. Rev. Lett. 103, 020401 (2009). 10.1103/PhysRevLett.103.020401
52. J. D. Sau, R. M. Lutchyn, S. Tewari, and S. Das Sarma, Phys. Rev. Lett. 104, 040502 (2010). 10.1103/PhysRevLett.104.040502
53. S. Tewari, J. D. Sau, and S. Das Sarma, Ann. Phys. 325, 219 (2010). 10.1016/j.aop.2009.11.003
54. R. Jackiw and C. Rebbi, Phys. Rev. D 13, 3398 (1976). 10.1103/PhysRevD.13.3398
55. R. Jackiw and J. R. Schrieffer, Nucl. Phys. B 190, 253 (1981). 10.1016/0550-3213(81)90557-5
56. J. Alicea, Phys. Rev. B 81, 125318 (2010). 10.1103/PhysRevB.81.125318
57. R. M. Lutchyn, J. D. Sau, and S. Das Sarma, Phys. Rev. Lett. 105, 077001 (2010). 10.1103/PhysRevLett.105.077001
58. Y. E. Kraus, A. Auerbach, H. A. Fertig, and S. H. Simon, Phys. Rev. Lett. 101, 267002 (2008). 10.1103/PhysRevLett.101.267002
59. Y. E. Kraus, A. Auerbach, H. A. Fertig, and S. H. Simon, Phys. Rev. B 79, 134515 (2009). 10.1103/PhysRevB.79.134515
60. M. Cheng, R. M. Lutchyn, V. Galitski, and S. Das Sarma, Phys. Rev. Lett. 103, 107001 (2009). 10.1103/PhysRevLett.103.107001
61. P. Ghosh, J. Sau, S. Tewari, and S. Das Sarma, Phys. Rev. B 82, 184525 (2010) 10.1103/PhysRevB.82.184525
62. G. E. Volovik, Zh. Eksp. Teor. Fiz. 94, 123 (1988)
63. G. E. Volovik, [Sov. Phys. JETP 67, 1804 (1988)].
64. G. E. Volovik and V. M. Yakovenko, J. Phys.: Condens. Matter 1, 5263 (1989). 10.1088/0953-8984/1/31/025
65. V. M. Yakovenko, Phys. Rev. Lett. 65, 251 (1990). 10.1103/PhysRevLett.65. 251
66. R. Roy, Phys. Rev. Lett. 105, 186401 (2010) 10.1103/PhysRevLett.105. 186401
67. B. S. Chandrasekhar, Appl. Phys. Lett. 1, 7 (1962). 10.1063/1.1777362
68. A. M. Clogston, Phys. Rev. Lett. 9, 266 (1962). 10.1103/PhysRevLett.9.266
69. M. Hasan and C. Kane, Rev. Mod. Phys. 82, 3045 (2010). 10.1103/RevModPhys.82.3045
70. J. Sau and S. Tewari, S. Das Sarma, arXiv:1004.4702 (unpublished).
71. I. Serban, B. Beri, A. Akhmerov, and C. Beenakker, Phys. Rev. Lett. 104, 147001 (2010). 10.1103/PhysRevLett.104.147001
72. F. Nolting, A. Scholl, J. Stöhr, J. W. Seov, J. Fompeyrine, H. Siegwart, J.-P. Locquet, S. Anders, J. Lüning, E. E. Fullerton, M. F. Toney, M. R. Scheinfein, and H. A. Padmore, Nature (London) 405, 767 (2000). 10.1038/35015515 (Pubitemid 30407842)
73. J. Nogués and I. K. Schuller, J. Magn. Magn. Mater. 192, 203 (1999). 10.1016/S0304-8853(98)00266-2
74. Y. Oreg, G. Refael, and F. von Oppen, arXiv:1003.1145 (unpublished).
75. K. Sengupta, I. Zutic, H. J. Kwon, V. M. Yakovenko, and S. Das Sarma, Phys. Rev. B 63, 144531 (2001). 10.1103/PhysRevB.63.144531
76. C. J. Bolech and E. Demler, Phys. Rev. Lett. 98, 237002 (2007). 10.1103/PhysRevLett.98.237002 (Pubitemid 47139804)
77. H. Haug and A. Jauho, Quantum Kinetics in Transport and Optics in Semiconductors, Springer Series in Solid State Sciences (Springer-Verlag, Berlin, Heidelberg 2008).
78. J. C. Quateman, Phys. Rev. B 34, 1948 (1986). 10.1103/PhysRevB.34.1948
79. S. Bravyi, Phys. Rev. A 73, 042313 (2006). 10.1103/PhysRevA.73.042313
80. P. Bonderson, S. Das Sarma, M. Freedman, and C. Nayak, Phys. Rev. Lett. 105, 177002 (2010). 10.1103/PhysRevLett.105.177002
81. A. Chrestin, T. Matsuyama, and U. Merkt, Phys. Rev. B 55, 8457 (1997). 10.1103/PhysRevB.55.8457
82. F. Giazotto, K. Grove-Rasmussen, R. Fazio, F. Beltram, E. H. Linfield, and D. A. Ritchie, J. Supercond. 17, 317 (2004). 10.1023/B:JOSC.0000021231. 01260.94
83. Y. J. Doh, J. A. van Dam, A. L. Roest, E. P. A. M. Bakkers, L. P. Kouwenhoven, and S. De Franceschi, Science 309, 272 (2005). 10.1126/science. 1113523 (Pubitemid 40967857)
84. C. Caroli, P. G. De Gennes, and J. Matricon, Phys. Lett. 9, 307 (1964). 10.1016/0031-9163(64)90375-0