Majorana zero modes in one-dimensional quantum wires without long-ranged superconducting order

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 19, 2011, Pages

  Fidkowski, Lukasz ^a   Lutchyn, Roman M ^a   Nayak, Chetan ^a   Fisher, Matthew P A ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 82655174088     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.195436     Document Type: Article

References (47)

1. A. Y. Kitaev, Phys. Usp. PHUSEY 1063-7869 10.1070/1063-7869/44/10S/S29 44, 131 (2001).
2. R. M. Lutchyn, J. D. Sau, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.077001 105, 077001 (2010).
3. Y. Oreg, G. Refael, and F. von Oppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.177002 105, 177002 (2010).
4. J. Alicea, Y. Oreg, G. Refael, F. von Oppen, and M. P. A. Fisher, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys1915 7, 412 (2011).
5. J. D. Sau, S. Tewari, and S. Das Sarma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.052322 82, 052322 (2010).
6. F. Hassler, A. R. Akhmerov, C.-Y. Hou, and C. W. J. Beenakker, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/12/125002 12, 125002 (2010).
7. P. Bonderson and R. M. Lutchyn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.130505 106, 130505 (2011).
8. G. Moore and N. Read, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550- 3213(91)90407-O 360, 362 (1991).
9. C. Nayak and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(96)00430-0 479, 529 (1996). (Pubitemid 126161210)
10. N. Read and E. Rezayi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.54. 16864 54, 16864 (1996).
11. S.-S. Lee, S. Ryu, C. Nayak, and M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.236807 99, 236807 (2007). (Pubitemid 350231903)
12. M. Levin, B. I. Halperin, and B. Rosenow, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.236806 99, 236806 (2007). (Pubitemid 350231904)
13. P. Bonderson, V. Gurarie, and C. Nayak, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.075303 83, 075303 (2011).
14. A. Y. Kitaev, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2005.10.005 321, 2 (2006). (Pubitemid 43072824)
15. S. Gangadharaiah, B. Braunecker, P. Simon, and D. Loss, e-print arXiv: 1101.0094.
16. E. Sela, A. Altland, and A. Rosch, e-print arXiv: 1103.4969.
17. E. M. Stoudenmire, J. Alicea, O. A. Starykh, and M. P. A. Fisher, e-print arXiv: 1104.5493.
18. R. M. Lutchyn and M. P. A. Fisher, e-print arXiv: 1104.2358.
19. P. Bonderson, A. E. Feiguin, and C. Nayak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.186802 106, 186802 (2011).
20. V. J. Emery, S. A. Kivelson, and O. Zachar, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.56.6120 56, 6120 (1997).
21. V. J. Emery, S. A. Kivelson, and O. Zachar, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.15641 59, 15641 (1999).
22. C. Cen, D. F. Bogorin, C. W. Bark, C. M. Folkman, C.-B. Eom, and J. Levy (unpublished).
23. A. D. Caviglia, M. Gabay, S. Gariglio, N. Reyren, C. Cancellieri, and J.-M. Triscone, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.126803 104, 126803 (2010).
24. L. Fidkowski, H. Jiang, R. Lutchyn, and C. Nayak (unpublished).
25. 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).
26. S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, UK, 1985).
27. F. H. L. Essler, H. Frahm, F. Ghmann, A. Klümper, and V. E. Korepin, The One-Dimensional Hubbard Model (Cambridge University Press, Cambridge, UK, 2005).
28. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, New York, 2004).
29. A. D. Zaikin, D. S. Golubev, A. van Otterlo, and G. T. Zimányi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.1552 78, 1552 (1997).
30. R. M. Lutchyn, T. D. Stanescu, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.127001 106, 127001 (2011).
31. A. C. Potter and P. A. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.227003 105, 227003 (2010).
32. A. C. Potter and P. A. Lee, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.094525 83, 094525 (2011).
33. M. Wimmer, A. R. Akhmerov, M. V. Medvedyeva, J. Tworzydło, and C. W. J. Beenakker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105. 046803 105, 046803 (2010).
34. L. I. Glazman and A. I. Larkin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3736 79, 3736 (1997).
35. L. Fu and C. L. Kane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.096407 100, 096407 (2008). (Pubitemid 351399080)
36. M. Sato and S. Fujimoto, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.094504 79, 094504 (2009).
37. M. Sato, Y. Takahashi, and S. Fujimoto, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.134521 82, 134521 (2010).
38. 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).
39. J. Alicea, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.125318 81, 125318 (2010).
40. X.-L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.184516 82, 184516 (2010).
41. M. Hermele, G. Refael, M. P. A. Fisher, and P. M. Goldbart, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys154 1, 117 (2005).
42. L. Fidkowski and A. Kitaev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.075103 83, 075103 (2011).
43. A. M. Turner, F. Pollmann, and E. Berg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.075102 83, 075102 (2011).
44. X. Chen, Z.-C. Gu, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.035107 83, 035107 (2011).
45. M. Cheng and H.-H. Tu, e-print arXiv: 1106.2614.
46. A. M. Tsvelik, e-print arXiv: 1106.2996.
47. J. D. Sau, B. I. Halperin, K. Flensberg, and S. Das Sarma, e-print arXiv: 1106.4014.