Interplay of disorder and interaction in majorana quantum wires

Physical Review Letters

Volumn 109, Issue 14, 2012, Pages

  Lobos, Alejandro M ^a   Lutchyn, Roman M ^b   Das Sarma, S ^a  

^a University of Maryland   (United States)

^b MICROSOFT RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOSONIZATION; CRITICAL POINTS; DISORDER STRENGTH; INSTANTONS; LOW ENERGIES; MAJORANA; PARAMETER SPACES; PERTURBATIVE RENORMALIZATION; QUANTUM PHASE TRANSITIONS; RENORMALIZATION GROUP; SUPERCONDUCTING PHASE; TOPOLOGICAL PHASE;

ELECTRON-ELECTRON INTERACTIONS; NANOWIRES; PHASE TRANSITIONS; STATISTICAL MECHANICS; SUPERCONDUCTIVITY;

TOPOLOGY;

EID: 84867242368     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.146403     Document Type: Article

References (39)

1. F. Wilczek, Nature Phys. 5, 614 (2009). NPAHAX 1745-2473 10.1038/nphys1380
2. N. Read and D. Green, Phys. Rev. B 61, 10267 (2000). PRBMDO 0163-1829 10.1103/PhysRevB.61.10267
3. A.Y. Kitaev, Phys. Usp. 44, 131 (2001). PHUSEY 1468-4780 10.1070/1063-7869/44/10S/S29
4. S. Das Sarma, C. Nayak, and S. Tewari, Phys. Rev. B 73, 220502 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.73.220502 (Pubitemid 43882685)
5. L. Fu and C.L. Kane, Phys. Rev. Lett. 100, 096407 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.096407 (Pubitemid 351399080)
6. C. Zhang, S. Tewari, R.M. Lutchyn, and S. Das Sarma, Phys. Rev. Lett. 101, 160401 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.160401
7. M. Sato and S. Fujimoto, Phys. Rev. B 79, 094504 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.094504
8. J.D. Sau, R.M. Lutchyn, S. Tewari, and S. Das Sarma, Phys. Rev. Lett. 104, 040502 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.040502
9. J. Alicea, Phys. Rev. B 81, 125318 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.125318
10. R.M. Lutchyn, J.D. Sau, and S. Das Sarma, Phys. Rev. Lett. 105, 077001 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.077001
11. Y. Oreg, G. Refael, and F. von Oppen, Phys. Rev. Lett. 105, 177002 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.177002
12. D.A. Ivanov, Phys. Rev. Lett. 86, 268 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.268 (Pubitemid 32131693)
13. N. Read, Phys. Rev. B 79, 045308 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.045308
14. J. Alicea, Y. Oreg, G. Refael, F. von Oppen, and M.P.A. Fisher, Nature Phys. 7, 412 (2011). NPAHAX 1745-2473 10.1038/nphys1915
15. P. Bonderson, V. Gurarie, and C. Nayak, Phys. Rev. B 83, 075303 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.075303
16. C. Nayak, S.H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.1083
17. M. Cheng, R.M. Lutchyn, V. Galitski, and S. Das Sarma, Phys. Rev. Lett. 103, 107001 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.107001
18. A. Altland and M.R. Zirnbauer, Phys. Rev. B 55, 1142 (1997). PRBMDO 0163-1829 10.1103/PhysRevB.55.1142
19. O. Motrunich, K. Damle, and D.A. Huse, Phys. Rev. B 63, 224204 (2001). PRBMDO 0163-1829 10.1103/PhysRevB.63.224204
20. P.W. Brouwer, A. Furusaki, I.A. Gruzberg, and C. Mudry, Phys. Rev. Lett. 85, 1064 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.1064
21. I.A. Gruzberg, N. Read, and S. Vishveshwara, Phys. Rev. B 71, 245124 (2005). PRBMDO 1098-0121 10.1103/PhysRevB.71.245124 (Pubitemid 41702926)
22. P.W. Brouwer, M. Duckheim, A. Romito, and F. von Oppen, Phys. Rev. B 84, 144526 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.144526
23. P.W. Brouwer, M. Duckheim, A. Romito, and F. von Oppen, Phys. Rev. Lett. 107, 196804 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.196804
24. A.C. Potter and P.A. Lee, Phys. Rev. Lett. 105, 227003 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.227003
25. R.M. Lutchyn, T.D. Stanescu, and S. Das Sarma, Phys. Rev. Lett. 106, 127001 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.127001
26. T.D. Stanescu, R.M. Lutchyn, and S. Das Sarma, Phys. Rev. B 84, 144522 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.144522
27. J.D. Sau, S. Tewari, and S. Das Sarma, Phys. Rev. B 85, 064512 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.064512
28. T. Giamarchi, Quantum Physics in One Dimension (Oxford University, New York, 2004).
29. V. Mourik, K. Zuo, S.M. Frolov, S. Plissard, E.A. Bakkers, and L. Kouwenhoven, Science 336, 1003 (2012). SCIEAS 0036-8075 10.1126/science.1222360
30. S. Gangadharaiah, B. Braunecker, P. Simon, and D. Loss, Phys. Rev. Lett. 107, 036801 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.036801
31. E. Sela, A. Altland, and A. Rosch, Phys. Rev. B 84, 085114 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.085114
32. R.M. Lutchyn and M.P.A. Fisher, Phys. Rev. B 84, 214528 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.214528
33. E.M. Stoudenmire, J. Alicea, O.A. Starykh, and M.P.A. Fisher, Phys. Rev. B 84, 014503 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.014503
34. S.F. Edwards and P.W. Anderson, J. Phys. F 5, 965 (1975). JPFMAT 0305-4608 10.1088/0305-4608/5/5/017
35. L. Fidkowski, R.M. Lutchyn, C. Nayak, and M.P.A. Fisher, Phys. Rev. B 84, 195436 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.195436
36. S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, England, 1985).
37. T. Giamarchi and H.J. Schulz, Phys. Rev. B 37, 325 (1988). PRBMDO 0163-1829 10.1103/PhysRevB.37.325
38. Y. Suzumura and T. Giamarchi, J. Phys. Soc. Jpn. 58, 1748 (1989). JUPSAU 0031-9015 10.1143/JPSJ.58.1748
39. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.146403 for detailed calculations.