Influence of topological edge states on the properties of Al/Bi2Se3/Al hybrid Josephson devices

Physical Review B - Condensed Matter and Materials Physics

Volumn 89, Issue 13, 2014, Pages

  Galletti, L ^a,b   Charpentier, S ^c   Iavarone, M ^d   Lucignano, P ^a,b   Massarotti, D ^a,b   Arpaia, R ^a,b,c   Suzuki, Y ^e   Kadowaki, K ^e   Bauch, T ^c   Tagliacozzo, A ^a   Tafuri, F ^b,f   Lombardi, F ^c  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b CNR SPIN   (Italy)

^c CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^d Temple University   (United States)

^e UNIVERSITY OF TSUKUBA   (Japan)

^f SECOND UNIVERSITY OF NAPLES   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84899744624     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.89.134512     Document Type: Article

References (86)

1. A. I. Buzdin, Rev. Mod. Phys. 77, 935 (2005). RMPHAT 0034-6861 10.1103/RevModPhys.77.935
2. A. A. Golubov, M. Y. Kupriyanov, and E. Il'ichev, Rev. Mod. Phys. 76, 411 (2004). RMPHAT 0034-6861 10.1103/RevModPhys.76.411
3. L. Angers, F. Chiodi, G. Montambaux, M. Ferrier, S. Guéron, H. Bouchiat, and J. C. Cuevas, Phys. Rev. B 77, 165408 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.165408
4. F. Bergeret and J. Cuevas, J. Low Temp. Phys. 153, 304 (2008). JLTPAC 0022-2291 10.1007/s10909-008-9826-2
5. N. Argaman, Superlattices Microstruct. 25, 861 (1999). SUMIEK 0749-6036 10.1006/spmi.1999.0724
6. L. Fu and C. L. Kane, Phys. Rev. Lett. 100, 096407 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.096407
7. L. Jiang, D. Pekker, J. Alicea, G. Refael, Y. Oreg, and F. von Oppen, Phys. Rev. Lett. 107, 236401 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107. 236401
8. V. Mourik, K. Zuo, S. M. Frolov, S. R. Plissard, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Science 336, 1003 (2012). SCIEAS 0036-8075 10.1126/science.1222360
9. M. T. Deng, C. L. Yu, G. Y. Huang, M. Larsson, P. Caroff, and H. Q. Xu, Nano Lett. 12, 6414 (2012). NALEFD 1530-6984 10.1021/nl303758w
10. A. Das, Y. Ronen, Y. Most, Y. Oreg, M. Heiblum, and H. Shtrikman, Nat. Phys. 8, 887 (2012). 1745-2473 10.1038/nphys2479
11. L. P. Rokhinson, X. Liu, and J. K. Furdyna, Nat. Phys. 8, 795 (2012). 1745-2473 10.1038/nphys2429
12. H. O. H. Churchill, V. Fatemi, K. Grove-Rasmussen, M. T. Deng, P. Caroff, H. Q. Xu, and C. M. Marcus, Phys. Rev. B 87, 241401 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.241401
13. A. D. K. Finck, D. J. Van Harlingen, P. K. Mohseni, K. Jung, and X. Li, Phys. Rev. Lett. 110, 126406 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110. 126406
14. J. Nilsson, A. R. Akhmerov, and C. W. J. Beenakker, Phys. Rev. Lett. 101, 120403 (R) (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.120403
15. Y. Tanaka, T. Yokoyama, and N. Nagaosa, Phys. Rev. Lett. 103, 107002 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.107002
16. R. M. Lutchyn, J. D. Sau, and S. Das Sarma, Phys. Rev. Lett. 105, 077001 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.077001
17. Y. Oreg, G. Refael, and F. von Oppen, Phys. Rev. Lett. 105, 177002 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.177002
18. 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
19. A. Stern, Nature (London) 464, 187 (2010). NATUAS 0028-0836 10.1038/nature08915
20. A. Y. Kitaev, Phys. Usp. 44, 131 (2001). 1468-4780 10.1070/1063-7869/44/ 10S/S29
21. A. Barone and G. Paterno, Physics and Applications of the Josephson Effect (John Wiley, New York, 1982).
22. K. Kang, Europhys. Lett. 51, 181 (2000). EULEEJ 0295-5075 10.1209/epl/i2000-00529-8
23. F. Loder, A. P. Kampf, and T. Kopp, Phys. Rev. B 78, 174526 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.174526
24. B. Sacepe, J. B. Oostinga, J. Li, A. Ubaldini, N. J. G. Couto, E. Giannini, and A. F. Morpurgo, Nat. Commun. 2, 575 (2011). 2041-1723 10.1038/ncomms1586
25. J. R. Williams, A. J. Bestwick, P. Gallagher, S. S. Hong, Y. Cui, A. S. Bleich, J. G. Analytis, I. R. Fisher, and D. Goldhaber-Gordon, Phys. Rev. Lett. 109, 056803 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.056803
26. D. Zhang, J. Wang, A. M. DaSilva, J. S. Lee, H. R. Gutierrez, M. H. W. Chan, J. Jain, and N. Samarth, Phys. Rev. B 84, 165120 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.165120
27. P. Zareapour, A. Hayat, S. Y. F. Zhao, M. Kreshchuk, A. Jain, D. C. Kwok, N. Lee, S.-W. Cheong, Z. Xu, A. Yang, G. D. Gu, S. Jia, R. J. Cava, and K. S. Burch, Nat. Commun. 3, 1056 (2012). 2041-1723 10.1038/ncomms2042
28. F. Yang, Y. Ding, F. Qu, J. Shen, J. Chen, Z. Wei, Z. Ji, G. Liu, J. Fan, C. Yang, T. Xiang, and L. Lu, Phys. Rev. B 85, 104508 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.104508
29. F. Yang, F. Qu, J. Shen, Y. Ding, J. Chen, Z. Ji, G. Liu, J. Fan, C. Yang, L. Fu, and L. Lu, Phys. Rev. B 86, 134504 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.134504
30. M. Veldhorst, M. Snelder, M. Hoek, T. Gang, V. K. Guduru, X. L. Wang, U. Zeitler, W. G. van der Wiel, A. A. Golubov, H. Hilgenkamp, and A. Brinkman, Nat. Mater. 11, 417 (2012). 1476-1122 10.1038/nmat3255
31. F. Qu, F. Yang, J. Shen, Y. Ding, J. Chen, and Z. Ji, Sci. Rep. 2, 339 (2012). 2045-2322 10.1038/srep00339
32. G. Koren and T. Kirzhner, Phys. Rev. B 86, 144508 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.144508
33. M. Veldhorst, C. G. Molenaar, X. L. Wang, H. Hilgenkamp, and A. Brinkman, Appl. Phys. Lett. 100, 072602 (2012). APPLAB 0003-6951 10.1063/1.3686150
34. J. B. Oostinga, L. Maier, P. Schuffelgen, D. Knott, C. Ames, C. Brune, G. Tkachov, H. Buhmann, and L. W. Molenkamp, Phys. Rev. X 3, 021007 (2013). 2160-3308 10.1103/PhysRevX.3.021007
35. M. Snelder, M. Veldhorst, A. A. Golubov, and A. Brinkman, Phys. Rev. B 87, 104507 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.104507
36. A. C. Potter and L. Fu, Phys. Rev. B 88, 121109 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.121109
37. M. Veldhorst, C. G. Molenaar, C. J. M. Verwijs, H. Hilgenkamp, and A. Brinkman, Phys. Rev. B 86, 024509 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86. 024509
38. Y. Tanaka, K. Nakayama, S. Souma, T. Sato, N. Xu, P. Zhang, P. Richard, H. Ding, Y. Suzuki, P. Das, K. Kadowaki, and T. Takahashi, Phys. Rev. B 85, 125111 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.125111
39. P. Das, Y. Suzuki, M. Tachiki, and K. Kadowaki, Phys. Rev. B 83, 220513 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.220513
40. G. Zhang, H. Qin, J. Teng, J. Guo, Q. Guo, X. Dai, Z. Fang, and K. Wu, Appl. Phys. Lett. 95, 053114 (2009). APPLAB 0003-6951 10.1063/1.3200237
41. D.-X. Qu, Y. S. Hor, J. Xiong, R. J. Cava, and N. P. Ong, Science 329, 821 (2010). SCIEAS 0036-8075 10.1126/science.1189792
42. J. R. Lindemuth, III-Vs Rev. 19, 28 (2006). 0961-1290 10.1016/S0961-1290(06)71939-1
43. Y. Ando, J. Phys. Soc. Jpn. 82, 102001 (2013). JUPSAU 0031-9015 10.7566/JPSJ.82.102001
44. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Nature (London) 438, 197 (2005). NATUAS 0028-0836 10.1038/nature04233
45. Y. Zhang, Y.-W. Tan, H. L. Stormer, and P. Kim, Nature (London) 438, 201 (2005). NATUAS 0028-0836 10.1038/nature04235
46. I. A. Luk'yanchuk and Y. Kopelevich, Phys. Rev. Lett. 97, 256801 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.256801
47. H. L. Stormer, J. P. Eisenstein, A. C. Gossard, W. Wiegmann, and K. Baldwin, Phys. Rev. Lett. 56, 85 (1986). PRLTAO 0031-9007 10.1103/PhysRevLett. 56.85
48. J. Xiong, Y. Luo, Y. H. Khoo, S. Jia, R. J. Cava, and N. P. Ong, Phys. Rev. B 86, 045314 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.045314
49. K. Eto, Z. Ren, A. A. Taskin, K. Segawa, and Y. Ando, Phys. Rev. B 81, 195309 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.195309
50. M. Stordeur, K. K. Katavong, A. Priemuth, H. Sobotta, and V. Riede, Phys. Status Solidi (b) 169, 505 (1992). PSSBBD 0370-1972 10.1002/pssb.2221690222
51. S. K. Mishra, S. Satpathy, and O. Jepsen, J. Phys.: Condens. Matter 9, 461 (1997). JCOMEL 0953-8984 10.1088/0953-8984/9/2/014
52. Shubnikov-de Haas oscillations have been studied on various Bi compounds with various interpretations [30, 41, 54, 73, 79-81]. Quite recently SdH detected on Bi(Equation presented)Se(Equation presented) flakes were attributed to an effect of a possible layered bulk material, having therefore a cylindrical Fermi surface (implying a cosine dependence of the frequency of the oscillations as a function of the angle) [82]. In this work the authors also extracted a (Equation presented) phase, in agreement with the absence of Dirac electrons.
53. M. Barkeshli and X.-L. Qi, Phys. Rev. Lett. 107, 206602 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.206602
54. H. Steinberg, D. R. Gardner, Y. S. Lee, and P. Jarillo-Herrero, Nano Lett. 10, 5032 (2010). NALEFD 1530-6984 10.1021/nl1032183
55. Y. S. Kim, M. Brahlek, N. Bansal, E. Edrey, G. A. Kapilevich, K. Iida, M. Tanimura, Y. Horibe, S.-w. Cheong, and S. Oh, Phys. Rev. B 84, 073109 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.073109
56. T. Hanaguri, K. Igarashi, M. Kawamura, H. Takagi, and T. Sasagawa, Phys. Rev. B 82, 081305 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.081305
57. P. Cheng, C. Song, T. Zhang, Y. Zhang, Y. Wang, J.-F. Jia, J. Wang, Y. Wang, B.-F. Zhu, X. Chen, X. Ma, K. He, L. Wang, X. Dai, Z. Fang, X. Xie, X.-L. Qi, C.-X. Liu, S.-C. Zhang, and Q.-K. Xue, Phys. Rev. Lett. 105, 076801 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.076801
58. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
59. D. Hsieh, Y. Xia, D. Qian, L. Wray, J. H. Dil, F. Meier, J. Osterwalder, L. Patthey, J. G. Checkelsky, N. P. Ong, A. V. Fedorov, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Nature (London) 460, 1101 (2009). NATUAS 0028-0836 10.1038/nature08234
60. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.109
61. Y. Zheng and T. Ando, Phys. Rev. B 65, 245420 (2002). PRBMDO 0163-1829 10.1103/PhysRevB.65.245420
62. I. Sochnikov, A. J. Bestwick, J. R. Williams, T. M. Lippman, I. R. Fisher, D. Goldhaber-Gordon, J. R. Kirtley, and K. A. Moler, Nano Lett. 13, 3086 (2013). NALEFD 1530-6984 10.1021/nl400997k
63. L. Galletti, S. Charpentier, F. Tafuri, D. Massarotti, R. Arpaia, P. Lucignano, A. Tagliacozzo, T. Bauch, Y. Suzuki, K. Kadowaki, and F. Lombardi, Physica C (unpublished).
64. L. Longobardi, D. A. Bennett, V. Patel, W. Chen, and J. E. Lukens, Rev. Sci. Instrum. 84, 014706 (2013). RSINAK 0034-6748 10.1063/1.4789310
65. L. Longobardi, D. Massarotti, G. Rotoli, D. Stornaiuolo, G. Papari, A. Kawakami, G. P. Pepe, A. Barone, and F. Tafuri, Phys. Rev. B 84, 184504 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.184504
66. P. Russer, J. Appl. Phys. 43, 2008 (1972). JAPIAU 0021-8979 10.1063/1.1661440
67. P. A. Rosenthal, M. R. Beasley, K. Char, M. S. Colclough, and G. Zaharchuk, Appl. Phys. Lett. 59, 3482 (1991). APPLAB 0003-6951 10.1063/1.105660
68. R. W. Cohen and B. Abeles, Phys. Rev. 168, 444 (1968). PHRVAO 0031-899X 10.1103/PhysRev.168.444
69. F. Behroozi, M. P. Garfunkel, F. H. Rogan, and G. A. Wilkinson, Phys. Rev. B 10, 2756 (1974). 0556-2805 10.1103/PhysRevB.10.2756
70. V. Z. Kresin, Phys. Rev. B 34, 7587 (1986). PRBMDO 0163-1829 10.1103/PhysRevB.34.7587
71. K. W. Lehnert, N. Argaman, H.-R. Blank, K. C. Wong, S. J. Allen, E. L. Hu, and H. Kroemer, Phys. Rev. Lett. 82, 1265 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.1265
72. C. W. J. Beenakker, Three Universal Mesoscopic Josephson Effects (Springer, New York, 1992), pp. 235-253.
73. J. G. Analytis, R. D. McDonald, S. C. Riggs, J.-H. Chu, G. S. Boebinger, and I. R. Fisher, Nature (London) Phys. 6, 960 (2010). 1745-2473 10.1038/nphys1861
74. K. He, Y. Zhang, C.-Z. Chang, C.-L. Song, L.-L. Wang, X. Chen, J.-F. Jia, Z. Fang, X. Dai, W.-Y. Shan, S.-Q. Shen, Q. Niu, X.-L. Qi, S.-C. Zhang, X.-C. Ma, and Q.-K. Xue, Nat. Phys. 6, 584 (2010). 1745-2473 10.1038/nphys1689
75. J. Clarke, Proc. R. Soc. London Ser. A 308, 447 (1969). 1364-5021 10.1098/rspa.1969.0020
76. J. Clarke, Phys. Rev. B 4, 2963 (1971). 0556-2805 10.1103/PhysRevB.4.2963
77. A. V. Galaktionov and A. D. Zaikin, Phys. Rev. B 65, 184507 (2002). PRBMDO 0163-1829 10.1103/PhysRevB.65.184507
78. With Q = {t2 cos(χ)+[1+(t2+1) ωn2 /Δ2] cosh(2ωnL/μvF) + 2tωnΩn/Δ2 sinh(2ωnL/μvF)}2- (1-t2)2 Ωn2 /Δ2, where (Equation presented) are the Matsubara frequencies and (Equation presented). (Equation presented) is the phase difference between the two superconducting islands.
79. F. Xiu, L. He, Y. Wang, L. Cheng, L.-T. Chang, M. Lang, G. Huang, X. Kou, Y. Zhou, X. Jiang, Z. Chen, J. Zou, A. Shailos, and K. L. Wang, Nat. Nanotech. 6, 216 (2011). 1748-3387 10.1038/nnano.2011.19
80. A. A. Taskin, Z. Ren, S. Sasaki, K. Segawa, and Y. Ando, Phys. Rev. Lett. 107, 016801 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.016801
81. A. A. Taskin, S. Sasaki, K. Segawa, and Y. Ando, Phys. Rev. Lett. 109, 066803 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.066803
82. H. Cao, J. Tian, I. Miotkowski, T. Shen, J. Hu, S. Qiao, and Y. P. Chen, Phys. Rev. Lett. 108, 216803 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108. 216803
83. L. Longobardi, D. Massarotti, D. Stornaiuolo, L. Galletti, G. Rotoli, F. Lombardi, and F. Tafuri, Phys. Rev. Lett. 109, 050601 (2012). 10.1103/PhysRevLett.109.050601
84. D. Massarotti, L. Longobardi, D. Stornaiuolo, L. Galletti, G. Rotoli, A. Kawakami, G. P. Pepe, and F. Tafuri, J. Superconductivity Novel Magnetism 26, 835 (2013). 10.1007/s10948-012-1863-z
85. U. C. Coskun, M. Brenner, T. Hymel, V. Vakaryuk, A. Levchenko, and A. Bezryadin, Phys. Rev. Lett. 108, 097003 (2012). 10.1103/PhysRevLett.108.097003
86. D. Gustafsson, D. Golubev, M. Fogelström, T. Claeson, S. Kubatkin, T. Bauch, and F. Lombardi, Nature Nanotechn. 8, 25 (2013). 10.1038/nnano.2012. 214