Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 14, 2011, Pages

  Brouwer, Piet W ^a   Duckheim, Mathias ^a   Romito, Alessandro ^a   Von Oppen, Felix ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80155201196     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.144526     Document Type: Article

References (40)

1. A. Kitaev, Ann. Phys. APNYA6 0003-4916 10.1016/S0003-4916(02)00018-0 303, 2 (2003). (Pubitemid 36177417)
2. M. H. Freedman, Proc. Natl. Acad. Sci. PNASA6 0027-8424 10.1073/pnas.95.1.98 95, 98 (1998). (Pubitemid 28103913)
3. J. Fröhlich and F. Gabbiani, Rev. Math. Phys. RMPHEX 0129-055X 10.1142/S0129055X90000107 2, 251 (1990).
4. G. Moore and N. Read, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550- 3213(91)90407-O 360, 362 (1991).
5. C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.1083 80, 1083 (2008).
6. F. Wilczek, Nat. Phys. RMPHAT 1745-2473 10.1038/nphys1380 5, 614 (2009);
7. M. Franz, Physics RMPHAT 1943-2879 10.1103/Physics.3.24 3, 24 (2010).
8. N. Read and D. Green, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.61. 10267 61, 10267 (2000).
9. L. Fu and C. L. Kane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.096407 100, 096407 (2008). (Pubitemid 351399080)
10. J. D. Sau, R. M. Lutchyn, S. Tewari, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.040502 104, 040502 (2010).
11. A. C. Potter and P. A. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.227003 105, 227003 (2010).
12. R. M. Lutchyn, J. D. Sau, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.077001 105, 077001 (2010).
13. Y. Oreg, G. Refael, and F. von Oppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.177002 105, 177002 (2010).
14. P. A. Lee, e-print arXiv: 0907.2681 (unpublished).
15. M. Duckheim and P. W. Brouwer, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.054513 83, 054513 (2011).
16. S. B. Chung, H.-J. Zhang, X.-L. Qi, and S.-C. Zhang, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.84.060510 84, 060510 (2011).
17. J. Alicea, Y. Oreg, G. Refael, F. von Oppen, and M. P. A. Fisher, Nature Phys. PRLTAO 1745-2473 10.1038/nphys1915 7, 412 (2011).
18. C. W. J. Beenakker, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 69.731 69, 731 (1997). (Pubitemid 127098258)
19. P. G. De Gennes, Superconductivity of Metals and Alloys (W. A. Benjamin, New York, 1966).
20. G. E. Volovik, JETP Lett. JTPLA2 0021-3640 10.1134/1.568223 70, 609 (1999).
21. O. Motrunich, K. Damle, and D. A. Huse, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.63.224204 63, 224204 (2001).
22. K. Flensberg, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.82.180516 82, 180516 (R) (2010).
23. V. Shivamoggi, G. Refael, and J. E. Moore, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.82.041405 82, 041405 (2010).
24. A. Y. Kitaev, Phys. Usp. PHUSEY 1063-7869 10.1070/1063-7869/44/10S/S29 44, 131 (2001).
25. Note that the topological phase is stable against weak interactions; see S. Gangadharaiah, B. Braunecker, P. Simon, and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.036801 107, 036801 (2011);
26. E. Sela, A. Altland, and A. Rosch, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.84.085114 84, 085114 (2011);
27. E. M. Stoudenmire, J. Alicea, O. A. Starykh, and M. P. A. Fisher, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.84.014503 84, 014503 (2011).
28. F. J. Dyson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.92.1331 92, 1331 (1953);
29. G. Theodorou and M. H. Cohen, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.13.4597 13, 4597 (1976);
30. T. P. Eggarter and R. Riedinger, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.18.569 18, 569 (1978).
31. P. W. Brouwer, A. Furusaki, I. A. Gruzberg, and C. Mudry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1064 85, 1064 (2000).
32. I. A. Gruzberg, N. Read, and S. Vishveshwara, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.71.245124 71, 245124 (2005). (Pubitemid 41702926)
33. A. R. Akhmerov, J. P. Dahlhaus, F. Hassler, M. Wimmer, and C. W. J. Beenakker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.057001 106, 057001 (2011).
34. A. A. Ovchinnikov and N. S. Irikhman, Zh. Eksp. Teor. Fiz. 73, 650 (1977)
35. A. A. Ovchinnikov and N. S. Irikhman, [Sov. Phys. JETP 46, 340 (1977)].
36. J. P. Bouchaud and A. Georges, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N 195, 127 (1990).
37. I. C. Fulga, F. Hassler, A. R. Akhmerov, and C. W. J. Beenakker, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.155429 83, 155429 (2011).
38. A. C. Potter and P. A. Lee, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.184520 83, 184520 (2011).
39. P. W. Brouwer, A. Furusaki, and C. Mudry, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.67.014530 67, 014530 (2003).
40. J. H. Bardarson, J. Tworzydlo, P. W. Brouwer, and C. W. J. Beenakker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.106801 99, 106801 (2007). (Pubitemid 47501106)