Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures

Physical Review Letters

Volumn 105, Issue 7, 2010, Pages

  Lutchyn, Roman M ^a   Sau, Jay D ^a   Das Sarma, S ^a  

^a University of Maryland   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANDREEV BOUND STATE; ENERGY SPECTRA; EXPERIMENTAL SETUP; EXPERIMENTAL SYSTEM; GATE VOLTAGES; IN-PLANE MAGNETIC FIELDS; MAJORANA; MAJORANA PARTICLES; ODD NUMBERS; SEMICONDUCTOR WIRES; SPIN ORBITS; SUPERCONDUCTING QUANTUM INTERFERENCE DEVICE; SUPERCONDUCTOR HETEROSTRUCTURES; SUPERCURRENTS; TOPOLOGICAL PHASE;

CRYSTALS; HETEROJUNCTIONS; HIGH ENERGY PHYSICS; MAGNETIC FIELDS; SPECTROSCOPY; SQUIDS; SUPERCONDUCTING MATERIALS; SUPERCONDUCTIVITY; TOPOLOGY;

PHASE TRANSITIONS;

EID: 77955607008     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.077001     Document Type: Article

References (30)

1. E. Majorana, Nuovo Cimento 14, 171 (1937). NUCIAD 0029-6341 10.1007/BF02961314
2. F. Wilczek, Nature Phys. 5, 614 (2009); NPAHAX 1745-2473 10.1038/nphys1380
3. M. Franz, Physics 3, 24 (2010); PHYSGM 1943-2879 10.1103/Physics.3.24
4. A. Stern, Nature (London) 464, 187 (2010). NATUAS 0028-0836 10.1038/nature08915
5. C. Nayak, Rev. Mod. Phys. 80, 1083 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.1083
6. A.Y. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003). APNYA6 0003-4916 10.1016/S0003-4916(02)00018-0
7. S. Das Sarma, M. Freedman, and C. Nayak, Phys. Rev. Lett. 94, 166802 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.166802
8. L. Fu and C.L. Kane, Phys. Rev. Lett. 100, 096407 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.100.096407
9. G.E. Volovik, JETP Lett. 90, 398 (2009); JTPLA2 0021-3640 10.1134/S0021364009170172
10. J. Linder, Phys. Rev. Lett. 104, 067001 (2010); PRLTAO 0031-9007 10.1103/PhysRevLett.104.067001
11. M. Wimmer, Phys. Rev. Lett. 105, 046803 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.046803
12. J.D. Sau, Phys. Rev. Lett. 104, 040502 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.040502
13. J. Alicea, Phys. Rev. B PRBMDO 0163-1829 81, 125318 (2010). 10.1103/PhysRevB.81.125318
14. Y.-J. Doh, Science 309, 272 (2005); SCIEAS 0036-8075 10.1126/science. 1113523
15. J.A. Van Dam, Nature (London) 442, 667 (2006). NATUAS 0028-0836 10.1038/nature05018
16. A. Chrestin, T. Matsuyama, and U. Merkt, Phys. Rev. B PRBMDO 0163-1829 55, 8457 (1997). 10.1103/PhysRevB.55.8457
17. V. Aleshkin, Semiconductors 42, 828 (2008). SMICES 1063-7826 10.1134/S1063782608070129
18. A.Y. Kitaev, Phys. Usp. 44, 131 (2001). PHUSEY 1063-7869 10.1070/1063-7869/44/10S/S29
19. N. Read and D. Green, Phys. Rev. B PRBMDO 0163-1829 61, 10267 (2000). 10.1103/PhysRevB.61.10267
20. C.W.J. Beenakker, Phys. Rev. Lett. 67, 3836 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.67.3836
21. O. Dimitrova and M. Feigel'man, JETP 102, 652 (2006). JTPHES 1063-7761 10.1134/S1063776106040157
22. Y. Nishida, Phys. Rev. D PRVDAQ 1550-7998 81, 074004 (2010); 10.1103/PhysRevD.81.074004
23. M.A. Silaev and G.E. Volovik, arXiv:1005.4672.
24. L. Fu and C.L. Kane, Phys. Rev. B PRBMDO 0163-1829 79, 161408(R) (2009). 10.1103/PhysRevB.79.161408
25. H.J. Kwon, K. Sengupta, and V.M. Yakovenko, Eur. Phys. J. B 37, 349 (2003). EPJBFY 1434-6028 10.1140/epjb/e2004-00066-4
26. H. Zangerle, Phys. Rev. B PRBMDO 0163-1829 73, 224527 (2006); 10.1103/PhysRevB.73.224527
27. M.D. Shaw, Phys. Rev. B PRBMDO 0163-1829 78, 024503 (2008); 10.1103/PhysRevB.78.024503
28. J.M. Martinis, M. Ansmann, and J. Aumentado, Phys. Rev. Lett. 103, 097002 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.097002
29. A. Paila, Phys. Rev. B PRBMDO 0163-1829 80, 144520 (2009). 10.1103/PhysRevB.80.144520
30. We note that, unlike SNS system where Andreev states are doubly degenerate and microwaves V rf induce direct transitions between Andreev levels (see, e.g., F. Bergeret, arXiv:1006.3181), here such transitions are forbidden by particle-hole symmetry, Ψ-E|Vrf|ΨE = 0.