Quantum interference and Aharonov-Bohm oscillations in topological insulators

Reports on Progress in Physics

Volumn 76, Issue 5, 2013, Pages

  Bardarson, Jens H ^a,b   Moore, Joel E ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84877727461     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/76/5/056501     Document Type: Article

References (210)

1. Hasan M and Kane C L 2010 Rev. Mod. Phys. 82 3045
2. Moore J E 2010 Nature 464 194
3. Qi X-L and Zhang S-C 2011 Rev. Mod. Phys. 83 1057
4. Hasan M Z and Moore J E 2011 Annu. Rev. Condens. Matter Phys. 2 55
5. Aharonov Y and Bohm D 1959 Phys. Rev. 115 485
6. Aronov A and Sharvin Y 1987 Rev. Mod. Phys. 59 755
7. Batelaan H and Tonomura A 2009 Phys. Today 62 38
8. Ando T 1982 Rev. Mod. Phys. 54 437
9. Castro Neto A H, Peres N M R, Novoselov K S and Geim A K 2009 Rev. Mod. Phys. 81 109
10. Das Sarma S, Adam S, Hwang E and Rossi E 2011 Rev. Mod. Phys. 83 407
11. Bergmann G 1984 Phys. Rep. 107 1
12. Lee P A and Ramakrishnan T V 1985 Rev. Mod. Phys. 57 287
13. Evers F and Mirlin A 2008 Rev. Mod. Phys. 80 1355
14. König M, Buhmann H, Molenkamp L W, Hughes T, Liu C-X, Qi X-L and Zhang S-C 2008 J. Phys. Soc. Japan 77 031007
15. König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L and Zhang S C 2007 Science 318 766 (Pubitemid 351411764)
16. Nielsen H B and Ninomiya M 1981 Nucl. Phys. B 185 20
17. Nielsen H B and Ninomiya M 1981 Phys. Lett. B 105 219
18. Fu L 2009 Phys. Rev. Lett. 103 266801
19. Alpichshev Z, Analytis J G, Chu J H, Fisher I R, Chen Y L, Shen Z X, Fang A and Kapitulnik A 2010 Phys. Rev. Lett. 104 016401
20. Kuroda K et al 2010 Phys. Rev. Lett. 105 076802
21. Yazyev O, Moore J E and Louie S 2010 Phys. Rev. Lett. 105 266806
22. Pan Z H, Vescovo E, Fedorov A, Gardner D, Lee Y, Chu S, Gu G and Valla T 2011 Phys. Rev. Lett. 106 257004
23. Souma S, Kosaka K, Sato T, Komatsu M, Takayama A, Takahashi T, Kriener M, Segawa K and Ando Y 2011 Phys. Rev. Lett. 106 216803
24. Okamoto K et al 2012 Phys. Rev. B 86 195304
25. Hsieh D, Qian D, Wray L, Xia Y, Hor Y S, Cava R J and Hasan M Z 2008 Nature 452 970 (Pubitemid 351606144)
26. Shan W-Y, Lu H-Z and Shen S-Q 2010 New J. Phys. 12 043048
27. Culcer D, Hwang E, Stanescu T and Das Sarma S 2010 Phys. Rev. B 82 155457
28. Silvestrov P, Brouwer P and Mishchenko E 2012 Phys. Rev. B 86 075302
29. Zhang F, Kane C L and Mele E 2012 Phys. Rev. B 86 081303(R)
30. Zhang F, Kane C L and Mele E J 2012 arXiv:1208.2968
31. Winkler R 2003 Spin-orbit Coupling Effects in Two-Dimensional Electron and Hole Systems (Berlin: Springer)
32. Moore J E and Balents L 2007 Phys. Rev. B 75 121306(R)
33. Fu L, Kane C L and Mele E 2007 Phys. Rev. Lett. 98 106803 (Pubitemid 46393379)
34. Roy R 2009 Phys. Rev. B 79 195322
35. Suzuura H and Ando T 2002 Phys. Rev. Lett. 89 266603
36. Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 226801 (Pubitemid 41776999)
37. Xu C and Moore J E 2006 Phys. Rev. B 73 045322 (Pubitemid 43270648)
38. Wu C, Bernevig B A and Zhang S-C 2006 Phys. Rev. Lett. 96 106401
39. Ström A, Johannesson H and Japaridze G 2010 Phys. Rev. Lett. 104 256804
40. Crépin F, Budich J, Dolcini F, Recher P and Trauzettel B 2012 Phys. Rev. B 86 121106(R)
41. Schmidt T, Rachel S, von Oppen F and Glazman L 2012 Phys. Rev. Lett. 108 156402
42. Budich J, Dolcini F, Recher P and Trauzettel B 2012 Phys. Rev. Lett. 108 086602
43. Roushan P, Seo J, Parker C V, Hor Y S, Hsieh D, Qian D, Richardella A, Hasan M Z, Cava R J and Yazdani A 2009 Nature 460 1106
44. Knez I, Du R-R and Sullivan G 2011 Phys. Rev. Lett. 107 136603
45. Weeks C, Hu J, Alicea J, Franz M and Wu R 2011 Phys. Rev. X 1 021001
46. Hu J, Alicea J, Wu R and Franz M 2012 Phys. Rev. Lett. 109 266801
47. Abanin D and Pesin D 2012 Phys. Rev. Lett. 109 066802
48. Zhang H, Liu C-X, Qi X-L, Dai X, Fang Z and Zhang S-C 2009 Nature Phys. 5 438
49. Valla T et al 2012 Phys. Rev. B 86 241101(R)
50. Xia Y et al 2009 Nature Phys. 5 398
51. Yazyev O, Kioupakis E, Moore J E and Louie S 2012 Phys. Rev. B 85 161101(R)
52. Chen Y L et al 2009 Science 325 178
53. Jia S, Ji H, Climent-Pascual E, Fuccillo M, Charles M, Xiong J, Ong N and Cava R 2011 Phys. Rev. B 84 235206
54. Xiong J, Luo Y, Khoo Y, Jia S, Cava R and Ong N 2012 Phys. Rev. B 86 045314
55. Mong R, Essin A and Moore J E 2010 Phys. Rev. B 81 245209
56. Fu L and Berg E 2010 Phys. Rev. Lett. 105 097001
57. Brüne C, Liu C, Novik E, Hankiewicz E, Buhmann H, Chen Y, Qi X, Shen Z, Zhang S and Molenkamp L 2011 Phys. Rev. Lett. 106 126803
58. Zhang W, Yu R, Feng W, Yao Y, Weng H, Dai X and Fang Z 2011 Phys. Rev. Lett. 106 156808
59. Sulaev A et al 2012 arXiv:arXiv:1204.3816
60. Linder J, Yokoyama T and Sudbø A 2009 Phys. Rev. B 80 205401
61. Liu C-X, Zhang H, Yan B, Qi X-L, Frauenheim T, Dai X, Fang Z and Zhang S-C 2010 Phys. Rev. B 81 041307(R)
62. Lu H-Z, Shan W-Y, Yao W, Niu Q and Shen S-Q 2010 Phys. Rev. B 81 115407
63. Zhang T et al 2009 Phys. Rev. Lett. 103 266803
64. Liu Y, Bian G, Miller T, Bissen M and Chiang T C 2012 Phys. Rev. B 85 195442
65. Zhang Y et al 2010 Nature Phys. 6 584
66. Cho S, Butch N P, Paglione J and Fuhrer M S 2011 Nano Lett. 11 1925
67. Cho S, Kim D, Syers P, Butch N P, Paglione J and Fuhrer M S 2012 Nano Lett. 12 469
68. Taskin A, Sasaki S, Segawa K and Ando Y 2012 Phys. Rev. Lett. 109 066803
69. Analytis J G, McDonald R D, Riggs S C, Chu J-H, Boebinger G S and Fisher I R 2010 Nature Phys. 6 960
70. Eisenstein J P and MacDonald A H 2004 Nature 432 691 (Pubitemid 39656284)
71. Altland A and Zirnbauer M R 1997 Phys. Rev. B 55 1142
72. Hikami S, Larkin A I and Nagaoka Y 1980 Prog. Theor. Phys. 63 707
73. Ando T, Nakanishi T and Saito R 1998 J. Phys. Soc. Japan 67 2857
74. Ando T and Suzuura H 2002 J. Phys. Soc. Japan 71 2753
75. Bardarson J H 2008 J. Phys. A: Math. Theor. 41 405203
76. Tworzydło J, Trauzettel B, Titov M, Rycerz A and Beenakker C W J 2006 Phys. Rev. Lett. 96 246802 (Pubitemid 43927090)
77. Imry Y and Landauer R 1999 Rev. Mod. Phys. 71 S306
78. Beenakker C W J 1997 Rev. Mod. Phys. 69 731 (Pubitemid 127098258)
79. Akkermans E and Montambaux G 2007 Mesoscopic Physics of Electrons and Photons (Cambridge: Cambridge University Press)
80. Bergmann G 1983 Phys. Rev. B 28 2914
81. McCann E, Kechedzhi K, Fal'ko V I, Suzuura H, Ando T and Altshuler B L 2006 Phys. Rev. Lett. 97 146805 (Pubitemid 44522385)
82. Imura K-I, Kuramoto Y and Nomura K 2009 Phys. Rev. B 80 085119
83. Tkachov G and Hankiewicz E M 2011 Phys. Rev. B 84 035444
84. Lu H-Z, Shi J and Shen S-Q 2011 Phys. Rev. Lett. 107 076801
85. Lu H-Z and Shen S-Q 2011 Phys. Rev. B 84 125138
86. Garate I and Glazman L 2012 Phys. Rev. B 86 035422
87. Adroguer P, Carpentier D, Cayssol J and Orignac E 2012 New J. Phys. 14 103027
88. Krueckl V and Richter K 2012 Semicond. Sci. Technol. 27 124006
89. Gutzwiller M C Chaos in Classical and Quantum Mechanics (Berlin: Springer)
90. Haake F 2010 Quantum Signatures of Chaos 3rd edn (Berlin: Springer)
91. Zaitsev O, Frustaglia D and Richter K 2005 Phys. Rev. B 72 155325 (Pubitemid 43022177)
92. Aleiner I and Larkin A 1996 Phys. Rev. B 54 14423
93. Richter K and Sieber M 2002 Phys. Rev. Lett. 89 206801
94. Müller S, Heusler S, Braun P and Haake F 2007 New J. Phys. 9 12 (Pubitemid 46160663)
95. Altshuler B L, Aronov A G and Spivak B Z 1981 JETP Lett. 33 94
96. Sharvin D Y and Sharvin Y V 1981 JETP Lett. 34 272
97. Cheianov V V, Fal'ko V I, Altshuler B L and Aleiner I L 2007 Phys. Rev. Lett. 99 176801 (Pubitemid 47631511)
98. Rycerz A, Tworzydło J and Beenakker C W J 2007 Euro. Phys. Lett. 79 57003
99. Kechedzhi K, Kashuba O and Fal'ko V 2008 Phys. Rev. B 77 193403
100. Kharitonov M and Efetov K 2008 Phys. Rev. B 78 033404
101. Rossi E, Bardarson J H, Fuhrer M S and Das Sarma S 2012 Phys. Rev. Lett. 109 096801
102. Checkelsky J, Hor Y, Cava R and Ong N 2011 Phys. Rev. Lett. 106 196801
103. Matsuo S et al 2012 Phys. Rev. B 85 075440
104. Li Z et al 2012 Sci. Rep. 2 595
105. Checkelsky J, Hor Y, Liu M H, Qu D X, Cava R and Ong N 2009 Phys. Rev. Lett. 103 246601
106. Efetov K 1997 Supersymmetry in Disorder and Chaos (Cambridge: Cambridge University Press)
107. Fendley P 2001 Phys. Rev. B 63 104429
108. Hikami S 1981 Phys. Rev. B 24 2671
109. Hikami S 1992 Prog. Theor. Phys. Suppl. 107 213
110. Kim D, Cho S, Butch N P, Syers P, Kirshenbaum K, Adam S, Paglione J and Fuhrer M S 2012 Nature Phys. 8 460
111. Steinberg H, Gardner D R, Lee Y S and Jarillo-Herrero P 2010 Nano Lett. 10 5032
112. Ren Z, Taskin A, Sasaki S, Segawa K and Ando Y 2011 Phys. Rev. B 84 075316
113. Kong D et al 2011 Nature Nanotechnol. 6 705
114. Sacépé B, Oostinga J B, Li J, Ubaldini A, Couto N J G, Giannini E and Morpurgo A F 2011 Nature Commun. 2 575
115. Hao G, Qi X, Liu Y, Huang Z, Li H, Huang K, Li J, Yang L and Zhong J 2012 J. Appl. Phys. 111 114312
116. Adam S, Hwang E and Das Sarma S 2012 Phys. Rev. B 85 235413
117. Beidenkopf H, Roushan P, Seo J, Gorman L, Drozdov I, Hor Y S, Cava R J and Yazdani A 2011 Nature Phys. 7 939
118. Bardarson J H, Tworzydło J, Brouwer P W and Beenakker C W J 2007 Phys. Rev. Lett. 99 106801 (Pubitemid 47501106)
119. Fu L and Kane C L 2007 Phys. Rev. B 76 045302
120. Ryu S, Mudry C, Obuse H and Furusaki A 2007 Phys. Rev. Lett. 99 116601 (Pubitemid 47438154)
121. Ostrovsky P, Gornyi I and Mirlin A 2007 Phys. Rev. Lett. 98 256801 (Pubitemid 47139947)
122. Nomura K, Koshino M and Ryu S 2007 Phys. Rev. Lett. 99 146806 (Pubitemid 47549446)
123. Markoš P and Schweitzer L 2006 J. Phys. A: Math. Gen. 39 3221 (Pubitemid 43412044)
124. Schnyder A, Ryu S, Furusaki A and Ludwig A 2008 Phys. Rev. B 78 195125
125. Biswas R and Balatsky A 2010 Phys. Rev. B 81 233405
126. Black-Schaffer A and Balatsky A 2012 Phys. Rev. B 85 121103(R)
127. Alpichshev Z, Biswas R, Balatsky A, Analytis J, Chu J H, Fisher I and Kapitulnik A 2012 Phys. Rev. Lett. 108 206402
128. Skinner B, Chen T and Shklovskii B 2012 Phys. Rev. Lett. 109 176801
129. Shoenberg D 1984 Magnetic Oscillations in Metals (Cambridge: Cambridge University Press)
130. Mikitik G and Sharlai Y 1999 Phys. Rev. Lett. 82 2147
131. Mikitik G and Sharlai Y 2012 Phys. Rev. B 85 033301
132. Ando T 1974 J. Phys. Soc. Japan 37 1233
133. Fang L, Jia Y, Miller D J, Latimer M L, Xiao Z L, Welp U, Crabtree G W and Kwok W K arXiv:1208.4532
134. Lee D-H 2009 Phys. Rev. Lett. 103 196804
135. Vafek O 2011 Phys. Rev. B 84 245417
136. Sitte M, Rosch A, Altman E and Fritz L 2012 Phys. Rev. Lett. 108 126807
137. Analytis J G, Chu J-H, Chen Y, Corredor F, McDonald R D, Shen Z X and Fisher I R 2010 Phys. Rev. B 81 205407
138. Eto K, Ren Z, Taskin A A, Segawa K and Ando Y 2010 Phys. Rev. B 81 195309
139. Butch N P, Kirshenbaum K, Syers P, Sushkov A B, Jenkins G S, Drew H D and Paglione J 2010 Phys. Rev. B 81 241301(R)
140. Taskin A, Segawa K and Ando Y 2010 Phys. Rev. B 82 121302(R)
141. Qu D X, Hor Y S, Xiong J, Cava R J and Ong N P 2010 Science 329 821
142. Taskin A, Ren Z, Sasaki S, Segawa K and Ando Y 2011 Phys. Rev. Lett. 107 016801
143. Ren Z, Taskin A, Sasaki S, Segawa K and Ando Y 2010 Phys. Rev. B 82 241306(R)
144. Wang Y et al 2012 Nano Lett. 12 1170
145. He L et al 2012 Nano Lett. 12 1486
146. Xiong J, Petersen A C, Qu D, Hor Y S, Cava R J and Ong N P 2012 Physica E 44 917
147. Petrushevsky M et al 2012 Phys. Rev. B 86 045131
148. Taskin A and Ando Y 2011 Phys. Rev. B 84 035301
149. Cheng P et al 2010 Phys. Rev. Lett. 105 076801
150. Hanaguri T, Igarashi K, Kawamura M, Takagi H and Sasagawa T 2010 Phys. Rev. B 82 081305(R)
151. Cao H, Tian J, Miotkowski I, Shen T, Hu J, Qiao S and Chen Y 2012 Phys. Rev. Lett. 108 216803
152. Taskin A and Ando Y 2009 Phys. Rev. B 80 085303
153. Kim H-J, Kim K-S, Kim M D, Lee S J, Han J W, Ohnishi A, Kitaura M, Sasaki M, Kondo A and Kindo K 2011 Phys. Rev. B 84 125144
154. Lawson B, Hor Y and Li L 2012 Phys. Rev. Lett. 109 226406
155. Hirahara T, Sakamoto Y, Takeichi Y, Miyazaki H, Kimura S-i, Matsuda I, Kakizaki A and Hasegawa S 2010 Phys. Rev. B 82 155309
156. Chen J et al 2010 Phys. Rev. Lett. 105 176602
157. Liu M et al 2011 Phys. Rev. B 83 165440
158. Chen J, He X, Wu K, Ji Z, Lu L, Shi J, Smet J and Li Y 2011 Phys. Rev. B 83 241304(R)
159. Wang J, DaSilva A, Chang C-Z, He K, Jain J, Samarth N, Ma X-C, Xue Q-K and Chan M 2011 Phys. Rev. B 83 245438
160. Kim Y S, Brahlek M, Bansal N, Edrey E, Kapilevich G, Iida K, Tanimura M, Horibe Y, Cheong S-W and Oh S 2011 Phys. Rev. B 84 073109
161. Steinberg H, Laloe J-B, Fatemi V, Moodera J S and Jarillo-Herrero P 2011 Phys. Rev. B 84 233101
162. Liu M et al 2012 Phys. Rev. Lett. 108 036805
163. Takagaki Y, Jenichen B, Jahn U, Ramsteiner M and Friedland K J 2012 Phys. Rev. B 85 115314
164. Zhang L, Hammond R, Dolev M, Liu M, Palevski A and Kapitulnik A 2012 Appl. Phys. Lett. 101 153105
165. Bansal N, Kim Y, Brahlek M, Edrey E and Oh S 2012 Phys. Rev. Lett. 109 116804
166. He H-T, Wang G, Zhang T, Sou I-K, Wong G, Wang J-N, Lu H-Z, Shen S-Q and Zhang F-C 2011 Phys. Rev. Lett. 106 166805
167. Cha J J, Kong D, Hong S S, Analytis J G, Lai K and Cui Y 2012 Nano Lett. 12 1107
168. Lang M et al 2012 Nano Lett. 13 48-53
169. Altshuler B L and Aronov A G 1985 electron-electron Interactions in Disordered Conductors (New York: Elsevier) p 1
170. Pal H, Yudson V and Maslov D 2012 Phys. Rev. B 85 085439
171. Ostrovsky P, Gornyi I and Mirlin A 2010 Phys. Rev. Lett. 105 036803
172. Ran Y, Vishwanath A and Lee D-H 2008 Phys. Rev. Lett. 101 086801
173. Rosenberg G, Guo H M and Franz M 2010 Phys. Rev. B 82 041104(R)
174. Bardarson J H, Brouwer P W and Moore J E 2010 Phys. Rev. Lett. 105 156803
175. Zhang Y and Vishwanath A 2010 Phys. Rev. Lett. 105 206601
176. Peng H, Lai K, Kong D, Meister S, Chen Y, Qi X-L, Zhang S-C, Shen Z-X and Cui Y 2009 Nature Mater. 9 225
177. Xiu F et al 2011 Nature Nanotechnol. 6 216
178. Li Z et al 2012 Appl. Phys. Lett. 100 083107
179. Qu F et al 2011 Phys. Rev. Lett. 107 016802
180. Yan B, Müchler L and Felser C 2012 Phys. Rev. Lett. 109 116406
181. Fu L 2011 Phys. Rev. Lett. 106 106802
182. Hsieh T H, Lin H, Liu J, Duan W, Bansil A and Fu L 2012 Nature Commun. 3 982
183. Dziawa P et al 2012 Nature Mater. 11 1023
184. Xu S-Y et al 2012 Nature Commun. 3 1192
185. Tanaka Y, Ren Z, Sato T, Nakayama K, Souma S, Takahashi T, Segawa K and Ando Y 2012 Nature Phys. 8 800
186. Ringel Z, Kraus Y and Stern A 2012 Phys. Rev. B 86 045102
187. Mong R S K, Bardarson J H and Moore J E 2012 Phys. Rev. Lett. 108 076804
188. Liu C-X, Qi X-L and Zhang S-C 2012 Physica E 44 906
189. Aleiner I L and Efetov K B 2006 Phys. Rev. Lett. 97 236801 (Pubitemid 44866621)
190. Ryu S, Mudry C, Ludwig A W W and Furusaki A 2012 Phys. Rev. B 85 235115
191. Huckestein B 1995 Rev. Mod. Phys. 67 357
192. Fu L and Kane C L 2012 Phys. Rev. Lett. 109 246605
193. Cook A and Franz M 2011 Phys. Rev. B 84 201105(R)
194. Hosur P, Ghaemi P, Mong R and Vishwanath A 2011 Phys. Rev. Lett. 107 097001
195. Chiu C-K, Gilbert M and Hughes T 2011 Phys. Rev. B 84 144507
196. Cook A, Vazifeh M and Franz M 2012 Phys. Rev. B 86 155431
197. Sato M 2003 Phys. Lett. B 575 126
198. Fu L and Kane C L 2008 Phys. Rev. Lett. 100 096407 (Pubitemid 351399080)
199. Read N and Green D 2000 Phys. Rev. B 61 10267
200. Kitaev A Y 2007 Phys. - Usp. 44 131
201. Alicea J 2012 Rep. Prog. Phys. 75 076501
202. Beenakker C W J 2011 Annu. Rev. Cond. Mat. Phys. 4 to be published (arXiv:1112.1950)
203. Zhang D, Wang J, DaSilva A, Lee J S, Gutierrez H, Chan M, Jain J and Samarth N 2011 Phys. Rev. B 84 165120
204. Veldhorst M, Molenaar C G, Wang X L, Hilgenkamp H and Brinkman A 2012 Appl. Phys. Lett. 100 072602
205. Veldhorst M et al 2012 Nature Mater. 11 417
206. Williams J, Bestwick A, Gallagher P, Hong S, Cui Y, Bleich A, Analytis J, Fisher I and Goldhaber-Gordon D 2012 Phys. Rev. Lett. 109 056803
207. Yang F et al 2012 Phys. Rev. B 85 104508
208. Yang F et al 2012 Phys. Rev. B 86 134504
209. Culcer D 2012 Physica E 44 860
210. Tkachov G and Hankiewicz E M 2012 arXiv:1208.1466