Majorana fermions in semiconductor nanowires: Fundamentals, modeling, and experiment

Journal of Physics Condensed Matter

Volumn 25, Issue 23, 2013, Pages

  Stanescu, T D ^a   Tewari, S ^b  

^a WEST VIRGINIA UNIVERSITY   (United States)

^b CLEMSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUILDING BLOCKES; HYBRID STRUCTURE; PROXIMITY COUPLINGS; QUANTUM STATISTICS; REALISTIC MODELING; SEMICONDUCTOR NANOWIRE; SEMICONDUCTOR THIN FILMS; SPIN ORBIT INTERACTIONS;

NANOWIRES; QUANTUM COMPUTERS; STATISTICAL MECHANICS; SUPERCONDUCTING MATERIALS; SUPERCONDUCTIVITY; THIN FILMS; TOPOLOGY;

HIGH ENERGY PHYSICS;

EID: 84878603510     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/25/23/233201     Document Type: Review

References (167)

1. Dirac P A M 1928 Proc. R. Soc. A 117 610
2. Peskin M and Schroeder D 1995 An Introduction to Quantum Field Theory (Reading, MA: Addison-Wesley)
3. Gell-Mann G and Pais A 1955 Phys. Rev. 97 1387
4. Majorana E 1937 Nuovo Cimento 14 171
5. Weyl H 1929 Z. Phys. 56 330
6. Nayak C, Simon S H, Stern A, Freedman M and Das Sarma S 2008 Rev. Mod. Phys. 80 1083
7. Wilczek F 2009 Nature Phys. 5 614
8. Beenakker C W J 2011 arXiv:1112.1950
9. Alicea J 2012 Rep. Prog. Phys. 75 076501
10. Leijnse M and Flensberg K 2012 Semicond. Sci. Technol. 27 124003
11. Read N and Green D 2000 Phys. Rev. B 61 10267
12. Moore G and Read N 1991 Nucl. Phys. B 360 362
13. Nayak C and Wilczek F 1996 Nucl. Phys. B 479 529 (Pubitemid 126161210)
14. Ivanov D A 2001 Phys. Rev. Lett. 86 268 (Pubitemid 32131693)
15. Stern A, Oppen F V and Mariani E 2004 Phys. Rev. B 70 205338 (Pubitemid 40153560)
16. Kitaev A Y 2003 Ann. Phys. 303 2 (Pubitemid 36177417)
17. Volovik G E 1988 Zh. Eksp. Teor. Fiz. 94 123
18. Volovik G E 1988 Sov. Phys. JETP 67 1804 (Engl. transl.)
19. Wen X G 1993 Phys. Rev. Lett. 70 355
20. Read N and Moore G 1992 Prog. Theor. Phys. (Kyoto) Supp. 107 157
21. Das Sarma S, Freedman M and Nayak C 2005 Phys. Rev. Lett. 94 166802 (Pubitemid 40620334)
22. Stern A and Halperin B I 2006 Phys. Rev. Lett. 96 016802 (Pubitemid 43248385)
23. Bonderson P, Kitaev A and Shtengel K 2006 Phys. Rev. Lett. 96 016803 (Pubitemid 43248386)
24. Kitaev A Y 2001 Phys. - Usp. 44 131
25. Das Sarma S, Nayak C and Tewari S 2006 Phys. Rev. B 73 220502(R) (Pubitemid 43882685)
26. Chung S B, Bluhm H and Kim E-A 2007 Phys. Rev. Lett. 99 197002 (Pubitemid 350099147)
27. Jang J, Ferguson D G, Vakaryuk V, Budakian R, Chung S B, Goldbart P M and Maeno Y 2011 Science 331 186
28. Fu L and Kane C L 2008 Phys. Rev. Lett. 100 096407 (Pubitemid 351399080)
29. Fu L and Kane C L 2009 Phys. Rev. B 79 161408(R)
30. Fu L and Kane C L 2009 Phys. Rev. Lett. 102 216403
31. Akhmerov A R, Nilsson J and Beenakker C W J 2009 Phys. Rev. Lett. 102 216404
32. Linder J, Tanaka Y, Yokoyama T, Sudbo A and Nagaosa N 2010 Phys. Rev. Lett. 104 067001
33. Cook A and Franz M 2011 Phys. Rev. B 84 201105(R)
34. Potter A C and Lee P A 2012 Phys. Rev. B 85 094516
35. Takei S, Fregoso B M, Galitski V and Das Sarma S 2013 Phys. Rev. B 87 014504
36. Sato M and Fujimoto S 2009 Phys. Rev. Lett. 79 094504
37. Ghosh P, Sau J, Tewari S and Das Sarma S 2010 Phys. Rev. B 82 184525
38. Tanaka Y, Mizuno Y, Yokoyama T, Yada K and Sato M 2010 Phys. Rev. Lett. 105 097002
39. Tanaka Y, Sato M and Nagaosa N 2012 J. Phys. Soc. Japan 81 011013
40. Asano Y and Tanaka Y 2013 Phys. Rev. B 87 104513
41. Martin I and Morpurgo A F 2012 Phys. Rev. B 85 144505
42. Sau J D and Tewari S 2011 arXiv:1111.5622
43. Klinovaja J, Gangadharaiah S and Loss D 2012 Phys. Rev. Lett. 108 196804
44. Klinovaja J, Ferreira G J and Loss D 2012 Phys. Rev. B 86 235416
45. Klinovaja J and Loss D 2013 Phys. Rev. X 3 011008
46. Black-Schaffer A M and Linder J 2011 Phys. Rev. B 84 180509(R)
47. Nadj-Perge S, Drozdov I K, Bernevig B A and Yazdani A 2013 arXiv:1303.6363
48. Regal C A, Ticknor C, Bohn J L and Jin D S 2003 Phys. Rev. Lett. 90 053201
49. Ticknor C, Regal C A, Bohn J L and Jin D S 2004 Phys. Rev. A 69 042712
50. Schunck C H, Zwierlein M W, Stan C A, Raupach S M F, Ketterle W, Simoni A, Tiesinga E, Williams C J and Julienne P S 2005 Phys. Rev. A 71 045601 (Pubitemid 41481533)
51. Tewari S, Das Sarma S, Nayak C, Zhang C and Zoller P 2007 Phys. Rev. Lett. 98 010506 (Pubitemid 46135095)
52. Zhang C, Tewari S, Lutchyn R and Das Sarma S 2008 Phys. Rev. Lett. 101 160401
53. Sato M, Takahashi Y and Fujimoto S 2009 Phys. Rev. Lett. 103 020401
54. Sau J D, Lutchyn R M, Tewari S and Das Sarma S 2010 Phys. Rev. Lett. 104 040502
55. Sau J D, Tewari S, Lutchyn R M, Stanescu T D and Das Sarma S 2010 Phys. Rev. B 82 214509
56. Lutchyn R M, Sau J and Das Sarma S 2010 Phys. Rev. Lett. 105 077001
57. Oreg Y, Refael G and Oppen F V 2010 Phys. Rev. Lett. 105 177002
58. Mao L, Shi J, Niu Q and Zhang C 2011 Phys. Rev. Lett. 106 157003
59. Mao L, Gong M, Dumitrescu E, Tewari S and Zhang C 2012 Phys. Rev. Lett. 108 177001
60. Gong M, Tewari S and Zhang C 2011 Phys. Rev. Lett. 107 195303
61. Sau J D and Tewari S 2012 Phys. Rev. B 86 104509
62. Tewari S, Stanescu T D, Sau J D and Das Sarma S 2012 Phys. Rev. B 86 024504
63. Alicea J, Oreg Y, Refael G, Oppen F V and Fisher M P A 2011 Nature Phys. 7 412
64. Halperin B I, Oreg Y, Stern A, Refael G, Alicea J and von Oppen F 2012 Phys. Rev. B 85 144501
65. Nielssen H and Ninomiya N 1983 Phys. Lett. B 130 389
66. Santos L, Ryu S, Chamon C and Mudry C 2010 Phys. Rev. B 82 165101
67. Cook A, Vazifeh M M and Franz M 2012 Phys. Rev. B 86 155431
68. Sengupta K, Zutic I, Kwon H J, Das Sarma S and Yakovenko V M 2001 Phys. Rev. B 63 144531
69. Tewari S, Zhang C, Das Sarma S, Nayak C and Lee D H 2008 Phys. Rev. Lett. 100 027001 (Pubitemid 351164819)
70. Law K T, Lee P A and Ng T K 2009 Phys. Rev. Lett. 103 237001
71. Flensberg K 2010 Phys. Rev. B 82 180516
72. Wimmer M, Akhmerov A R, Dahlhaus J P and Beenakker C W J 2011 New J. Phys. 13 053016
73. Kwon H J, Sengupta K and Yakovenko V M 2004 Eur. Phys. J. B 37 349
74. Jiang L, Pekker D, Alicea J, Refael G, Oreg Y and von Oppen F 2011 Phys. Rev. Lett 107 236401
75. Mourik V, Zuo K, Frolov S M, Plissard S R, Bakkers E P A M and Kouwenhoven L P 2012 Science 336 1003
76. Deng M T, Yu C L, Huang G Y, Larsson M, Caroff P and Xu H Q 2012 Nano Lett. 12 6414
77. Das A, Ronen Y, Most Y, Oreg Y, Heiblum M and Shtrikman H 2012 Nature Phys. 8 887
78. Churchill H O H, Fatemi V, Grove-Rasmussen G, Deng M T, Caroff P, Xu H Q and Marcus C M 2013 arXiv:1303.2407
79. Finck A D K, Van Harlingen D J, Mohseni P K, Jung K and Li X 2013 Phys. Rev. Lett. 110 126406
80. Rokhinson L P, Liu X and Furdyna J K 2012 Nature Phys. 8 795
81. Mackenzie A P and Maeno Y 2003 Rev. Mod. Phys. 75 657 (Pubitemid 36737415)
82. Sau J D, Lutchyn R M, Tewari S and Das Sarma S 2010 Phys. Rev. B 82 094522
83. Tewari S, Sau J and Das Sarma S 2010 Ann. Phys. 325 219
84. Alicea J 2010 Phys. Rev. B 81 125318
85. Potter A C and Lee P A 2010 Phys. Rev. Lett. 105 227003
86. Lutchyn R M, Stanescu T D and Das Sarma S 2011 Phys. Rev. Lett. 106 127001
87. Stanescu T D, Lutchyn R M and Das Sarma S 2011 Phys. Rev. B 84 144522
88. Potter A C and Lee P A 2011 Phys. Rev. B 83 094525
89. Tewari S, Sau J, Scarola V, Zhang C and Das Sarma S 2012 Phys. Rev. B 85 155302
90. Schnyder A P, Ryu S, Furusaki A and Ludwig A W W 2008 Phys. Rev. B 78 195125
91. Kitaev A Y 2009 AIP Conf. Proc. 1134 22
92. Ryu S, Schnyder A, Furusaki A and Ludwig A W W 2010 New J. Phys. 12 065010
93. Tewari S and Sau J D 2012 Phys. Rev. Lett. 109 150408
94. Niu Y, Chung S B, Hsu C H, Mandal I, Raghu S and Chakravarty S 2012 Phys. Rev. B 85 035110
95. Lim J S, Serra L, Lopez R and Aguado R 2012 Phys. Rev. B 86 121103
96. Diez M, Dahlhaus J P, Wimmer M and Beenakker C W J 2012 Phys. Rev. B 86 094501
97. Anderson P W 1958 Phys. Rev. B 110 827
98. Ryu S and Hatsugai Y 2002 Phys. Rev. Lett. 89 077002
99. Zak J 1989 Phys. Rev. Lett. 62 2747
100. Gibertini M, Taddei F, Polini M and Fazio R 2012 Phys. Rev. B 85 144525
101. Gibertini M, Fazio R, Polini M and Taddei F 2013 arXiv:1302.2736
102. Ekin J W, Xu Y, Mao S, Venkatesan T, Face D W, Eddy M and Wolf S A 1997 Phys. Rev. B 56 13746
103. Wagenknecht M, Koelle D, Kleiner R, Graser S, Schopohl N, Chesca B, Tsukada A, Goennenwein S T B and Gross R 2008 Phys. Rev. Lett. 100 227001
104. Semenoff G W and Sodano P 2006 arXiv:0601261
105. Bolech C J and Demler E 2007 Phys. Rev. Lett. 98 237002 (Pubitemid 47139804)
106. Nilsson J, Akhmerov A R and Beenakker C W J 2008 Phys. Rev. Lett. 101 120403
107. Blonder G E, Tinkham M and Klapwijk T M 1982 Phys. Rev. B 25 4515
108. Qu C, Zhang Y, Mao L and Zhang C 2011 arXiv:1109.4108
109. Fidkowski L, Alicea J, Lindner N, Lutchyn R M and Fisher M P A 2012 Phys. Rev. B 85 245121
110. Sau J D, Halperin B I, Flensberg K and Das Sarma S 2011 Phys. Rev. B 84 144509
111. Kells G, Meidan D and Brouwer P W 2012 Phys. Rev. B 86 100503(R)
112. Liu J, Potter A C, Law K T and Lee P A 2012 Phys. Rev. Lett. 109 267002
113. Lin C-H, Sau J D and Das Sarma S 2012 Phys. Rev. B 86 224511
114. Lutchyn R M and Skrabacz J H 2013 arXiv:1302.0289
115. Sau J D, Berg E and Halperin B I 2012 arXiv:1206.4596
116. Nogueira F S and Eremin I 2012 J. Phys.: Condens. Matter 24 325701
117. Beenakker C W J, Pikulin D I, Hyart T, Schomerus H and Dahlhaus J P 2013 Phys. Rev. Lett. 110 017003
118. Sau J D, Swingle B and Tewari S 2012 arXiv:1210.5514
119. Fu L 2010 Phys. Rev. Lett. 104 056402
120. Liu J, Zhang F-C and Law K T 2012 arXiv:1212.5879
121. Sau J D, Tewari S and Das Sarma S 2011 Phys. Rev. B 84 085109
122. Turner A, Pollman P and Berg E 2011 Phys. Rev. B 83 075102
123. Bermudez A, Patane D, Amico L and Martin-Delgado M A 2009 Phys. Rev. Lett. 102 135702
124. Bermudez A, Amico L and Martin-Delgado M A 2010 New J. Phys. 12 055014
125. Sticlet D, Bena C and Simon P 2012 Phys. Rev. Lett. 2012 096802
126. Chevallier D, Sticlet D, Simon P and Bena C 2012 Phys. Rev. B 85 235307
127. Mei F, Shan C-J, Feng X-L, Zhu S-L, Zhang Z-M, Kwek L C, Wilkowski D and Oh C H 2012 arXiv:1204.3974
128. Appelbaum I 2013 arXiv:1303.4719
129. Pachos J K, Alba E, Lahtinen V and Garcia-Ripoll J J 2013 arXiv:1209.5115
130. Das Sarma S, Sau J D and Stanescu T D 2012 Phys. Rev. B 86 220506(R)
131. Galanakis D and Stanescu T S 2012 Phys. Rev. B 86 195311
132. Luttinger J M and Kohn W 1955 Phys. Rev. 97 869
133. Luttinger J M 1956 Phys. Rev. 102 1030
134. Kane E O 1957 J. Phys. Chem. Solids 1 249
135. Black-Schaffer A M 2011 Phys. Rev. B 83 060504
136. Lababidi M and Zhao E 2011 Phys. Rev. B 83 184511
137. Tewari S, Stanescu T D, Sau J D and Das Sarma S 2011 New J. Phys. 13 065004
138. Lutchyn R M and Fisher M P A 2011 Phys. Rev. B 84 214528
139. Gangadharaiah S, Braunecker B, Simon P and Loss D 2011 Phys. Rev. Lett. 83 036801
140. Sela E, Altland A and Rosch A 2011 Phys. Rev. B 84 085114
141. Stoudenmire E M, Alicea J, Starykh O A and Fisher M P A 2011 Phys. Rev. B 84 014503
142. Stanescu T D, Sau J D, Lutchyn R M and Das Sarma S 2010 Phys. Rev. B 81 241310
143. Khaymovich I M, Chtchelkatchev N M and Vinokur V M 2011 Phys. Rev. B 84 075142
144. Grein R, Michelsen J and Eschrig M 2011 arXiv:1111.0445
145. Sau J D, Tewari S and Das Sarma S 2012 Phys. Rev. B 85 064512
146. Stanescu T D and Das Sarma S 2013 arXiv:1303.1187
147. Lutchyn R M, Stanescu T D and Das Sarma S 2012 Phys. Rev. B 85 140513(R)
148. Potter A C and Lee P A 2011 Phys. Rev. B 83 184520
149. Potter A C and Lee P A 2011 Phys. Rev. B 84 059906(E)
150. Chevallier D, Simon P and Bena C 2013 arXiv:1301.7420
151. Sau J D and Das Sarma S 2012 Nature Commun. 3 964
152. Brouwer P W, Duckheim M, Romito A and von Oppen F 2011 Phys. Rev. Lett. 107 196804
153. Akhmerov A R, Dahlhaus J P, Hassler F, Wimmer M and Beenakker C W J 2011 Phys. Rev. Lett. 106 057001
154. Brouwer P W, Duckheim M, Romito A and von Oppen F 2011 Phys. Rev. B 84 144526
155. Lobos A M, Lutchyn R M and Das Sarma S 2012 Phys. Rev. Lett. 109 146403
156. Pientka F, Kells G, Romito A, Brouwer P W and von Oppen F 2012 Phys. Rev. Lett. 109 227006
157. Rainis D, Trifunovic L, Klinovaja J and Loss D 2013 Phys. Rev. B 87 024515
158. Pikulin D I, Dahlhaus J P, Wimmer M, Schomerus H and Beenakker C W J 2012 New J. Phys. 14 125011
159. Stanescu T D, Lutchyn R M and Das Sarma S 2013 Phys. Rev. B 87 094518
160. Bagrets D and Altland A 2012 arXiv:1206.0434
161. Lee E J H, Jiang X, Aguado R, Katsaros G, Lieber C M and De Franceschi S 2012 Phys. Rev. Lett. 109 186802
162. Stanescu T D, Tewari S, Sau J D and Das Sarma S 2012 Phys. Rev. Lett. 109 266402
163. Stanescu T D and Tewari S 2013 Phys. Rev. B 87 140504(R)
164. Takei S, Fregoso B M, Hui H-Y, Lobos A M and Das Sarma S 2012 Phys. Rev. Lett. 110 186803
165. Cheng M, Lutchyn R M, Galitski V and Das Sarma S 2009 Phys. Rev. Lett. 103 107001
166. Prada E, San-Jose P and Aguado R 2012 Phys. Rev. B 86 180503(R)
167. Lee E J H, Jiang X, Houzet M, Aguado R, Lieber C M and De Franceschi S 2013 arXiv:1302.2611