Novel quantum phenomena in carbon nanotubes; Superconductivity, one-dimensional electron correlation and spin quantum bits

Journal of Computational and Theoretical Nanoscience

Volumn 7, Issue 9, 2010, Pages 1688-1706

  Haruyama, Junji ^a,b,c  

^a AOYAMA GAKUIN UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

^c JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

Carbon nanotube; One Dimensional electron correlation; Quantum information; Superconductivity

Indexed keywords

BORON-DOPED; BUCKYPAPER; CHARGE TRANSPORT; COLLECTIVE PHENOMENA; COOPER PAIR; D ELECTRONS; DECOHERENCE; ELECTRODE JUNCTIONS; ELECTRONIC DENSITY; ELECTRONIC DEVICE; MOLECULAR CONDUCTORS; MULTI-WALLED; NOVEL STRUCTURES; PAPER-LIKE; QUANTUM BITS; QUANTUM DEVICE; QUANTUM INFORMATION; QUANTUM PHENOMENA; QUANTUM SPIN; SINGLE-WALLED; SPIN COHERENCE; SPIN ENTANGLEMENT; SPIN SINGLETS; TOMONAGA LUTTINGER LIQUID; TRANSITION TEMPERATURE; TWO-DIMENSIONAL NETWORKS; VAN HOVE SINGULARITIES;

AUTOMOBILE EXHIBITIONS; BORON; CARBON NANOTUBES; CORRELATION METHODS; ELECTRON CORRELATIONS; ELECTRON DENSITY MEASUREMENT; ELECTRONIC DENSITY OF STATES; ELECTRONS; HYBRID SYSTEMS; QUANTUM INTERFERENCE PHENOMENA; QUANTUM OPTICS; SUPERCONDUCTIVITY; THIN FILMS; VAPOR DEPOSITION;

QUANTUM ENTANGLEMENT;

EID: 77955692636     PISSN: 15461955     EISSN: None     Source Type: Journal    
DOI: 10.1166/jctn.2010.1533     Document Type: Article

References (85)

1. M. Kociak, A. Yu. Kasumov, S. Guéron, B. Reulet, I. I. Khodos, Yu. B. Gorbatov, V. T. Volkov, L. Vaccarini, and H. Bouchiat, Phys. Rev. Lett. 86, 2416 (2001).
2. 4 and also one-dimensional localization. However, the present case does not correspond to these models, because the calculation result of our MWNT as LC transmission line does not agree with the observed power laws and also the present interplay of power laws with SC cannot be understood by these models.
3. Z. K. Tang, L. Zhang, N. Wang, X. X. Zhang, G. H. Wen, G. D. Li, J. N. Wang, C. T. Chan, and P. Sheng, Science 292, 2462 (2001).
4. A. Bachtold, M. de Jonge, K. Grove-Rasmussen, P. L. McEuen, M. Buitelaar, and C. Schönenberger, Phys. Rev. Lett. 87, 166801 (2001).
5. M. Bockrath, D. H. Cobden, J. Lu, A. G. Rinzler, R. E. Smalley, L. Balents, and P. L. McEuen, Nature 397, 598 (1999)
6. Z. Yao, H. W. Ch. Postma, L. Balents, and C. Dekker, Nature 402, 273 (1999).
7. R. Egger, Phys. Rev. Lett. 83, 5547 (1999).
8. I. Takesue, T. Akazaki, S. Miyadai, N. Kobayashi, A. Tokita, M. Nomura, J. Haruyama, and H. Takayanagi, Physica E 24, 32 (2004)
9. P. Recher and D. Loss, Phys. Rev. B 65, 165327 (2002)
10. C. Bena, S. Vishveshwara, L. Balents, and M. P. A. Fisher, Phys. Rev. Lett. 89, 037901 (2002).
11. J. Gonzalez, Phys. Rev. Lett. 88, 076403 (2002)
12. A. Sédéki, L. G. Caron, and C. Bourbonnais, Phys. Rev. B 65, 140515(R) (2002)
13. J. Gonzalez, Phys. Rev. Lett. 87, 136401 (2001).
14. D. Loss and T. Martin, Phys. Rev. B 50, 12160 (1994-11).
15. E. Perfetto and J. Gonzalez, Phys. Rev. B 74, 201403(R) (2006).
16. R. Egger and A. O. Gogolin, Phys. Rev. Lett. 79, 5082 (1997).
17. C. Kane, L. Balents, and M. P. A. Fisher, Phys. Rev. Lett. 79, 5086 (1997).
18. M. Monteverde, G. Garbarino, M. Núñez-Regueiro, J. Souletie, C. Acha, X. Jing, L. Lu, Z. W. Pan, S. S. Xie, and R. Egger, Phys. Rev. Lett. 97, 176401 (2006).
19. A. De Martino and R. Egger, Phys. Rev. B 67, 235418 (2003)
20. Phys. Rev. B 70, 014508 (2004).
21. K. McGuire, N. Gothard, P. Gai, M. Dresselhaus, G. Sumanasekera, and A. Rao, Carbon 43, 219 (2005).
22. K. Liu, Ph. Avouris, R. Martel, and W. K. Hsu, Phys. Rev. B 63, 161404R (2001).
23. 1 while SC transition may not favor a tunnel junction. However, Ref. [12] predicted that even attractive Coulomb interactions could lead to power law behaviors along with perfect transmission of Cooper pairs via tunnel junction. Thus, the present result is consistent with this theory.
24. F/m*) and L are the Fermi velocity and the tube length of the ID conductor, respectively. The previous studies on TLL states in CNTs reported that the saturation regimes fall onto a universal curve in any temperature ranges.
25. N. Murata, J. Haruyama, Y. Ueda, M. Matsudaira, H. Karino, Y. Yagi, E. Einarsson, S. Chiashi, S. Maruyama, T. Sugai, N. Kishi, and H. Shinohara, Phys. Rev. B 76, 245424/1 (2007).
26. N. Murata, J. Haruyama, J. Reppert, A. M. Rao, T. Koretsune, S. Saito, M. Matsudaira, and Y. Yagi, Phys. Rev. Lett. 101, 027002 (2008).
27. T. Koretsune and S. Saito, Phys. Rev. B 11, 165417 (2008).
28. As the critical temperature of 6 K for the appearance of the deviation is in excellent agreement with that from Figure 4(b), the SC regime potentially exists even at 3 K < T ≤ 6 K, though the conductance peak is not seen there due to the obstruction by the TLL regime.
29. T. E. Weller, M. Ellerby, S. S. Saxena, R. P. Smith, and N. T. Skipper, Nat. Phys. 1, 39 (2005).
30. N. Emery, C. Hérold, M. d'Astuto, V. Garcia, Ch. Bellin, J. F. Marêché, P. Lagrange, and G. Loupias, Phys. Rev. Lett. 95, 87003 (2005).
31. E. A. Ekimov, V. A. Sidorov, E. D. Bauer, N. N. Mel'nik, N. J. Curro, J. D. Thompson, and S. M. Stishov, Nature 428, 542 (2004).
32. M. Kociak, A. Yu. Kasumov, S. Guéron, B. Reulet, I. I. Khodos, Yu. B. Gorbatov, V. T. Volkov, L. Vaccarini, and H. Bouchiat, Phys. Rev. Lett. 86, 2416 (2001).
33. Z. K. Tang, L. Zhang, N. Wang, X. X. Zhang, G. H. Wen, G. D. Li, J. N. Wang, C. T. Chan, and P. Sheng, Science 292, 2462 (2001).
34. M. Ferrier, F. Ladieu, M. Ocio, B. Sacépé, T. Vaugien, V. Pichot, P. Launois, and H. Bouchiat, Phys. Rev. B 73, 094520 (2006).
35. C may be occasional.
36. R. Barnett, E. Demler, and E. Kaxiras, Phys. Rev. B 71, 035429 (2005).
37. M. Matsudaira, J. Haruyama, N. Murata, Y. Yagi, E. Einarsson, S. Maruyama, T. Sugai, and H. Shinohara, Physica E 40/7, 2299 (2008).
38. M. Matsudaira, J. Haruyama, N. Murata, J. González, E. Perfetto, E. Einarson, S. Maruyama, T. Sugai, H. Shinohara, and Y. Yagi, Europhysics Letters 89, 27003 (2010).
39. I. Takesue, T. Akazaki, S. Miyadai, N. Kobayashi, A. Tokita, M. Nomura, J. Haruyama, and H. Takayanagi, Physica E 24, 32 (2004)
40. P. Recher and D. Loss, Phys. Rev. B 65, 165327 (2002)
41. C. Bena, S. Vishveshwara, L. Balents, and M. P. A. Fisher, Phys. Rev. Lett. 89, 037901 (2002).
42. J. Gonzalez, Phys. Rev. Lett. 88, 076403 (2002).
43. E. Perfetto and J. Gonzalez, Phys. Rev. B 74, 201403(R) (2006).
44. K. McGuire, N. Gothard, P. Gai, M. Dresselhaus, G. Sumanasekera, and A. Rao, Carbon 43, 219 (2005).
45. K. Liu, Ph. Avouris, R. Martel, and W. K. Hsu, Phys. Rev. B 63, 161404R (2001).
46. S. Bandow, S. Numao, and S. Iijima, J. Phys. Chem. C 111, 11763 (2007).
47. http://www.ee.aoyama.ac.jp/Labs/j-haru-www/.
48. Graphite diamagnetism in ensemble of SWNTs very gradually appears in M-T curves from high temperatures (e.g., >50 K) even in undoped samples and the amplitude does not decrease in M-H features even at high magnetic fields (e.g., >2000 Oe). They are very different from those in Meissner effect observed here. However, because the component is very small in the samples shown here and different by respective samples, we could not entirely delete it in this study.
49. J. Gonzalez, Phys. Rev. Lett. 88, 076403 (2002).
50. T. Koretsune and S. Saito, Phys. Rev. B 11, 165417 (2008).
51. http://www.pwscf.org/.
52. F.
53. N. Murata, J. Haruyama, M. Matsudaira, J. Reppert, A. Rao, T. Koretsune, S. Saito, and Y. Yagi, Phys. Rev. Lett. 101, 027002 (2008).
54. T. Koretsune and S. Saito, Phys. Rev. B 77, 165417 (2008).
55. J. A. Fagan, M. L. Becker, J. Chun, and E. K. Hobbie, Adv. Mater. 20, 1609 (2008).
56. U. D. Venkateswaran, A. M. Rao, E. Richter, M. Menon, A. Rinzler, R. E. Smalley, and P. C. Eklund, Phys. Rev. B 59, 10928 (1999-11).
57. U. D. Venkateswaran, E. A. Brandsen, U. Schlecht, A. M. Rao, E. Richter, I. Loa, K. Syassen, and P. C. Eklund, Phys. Stat. Sol. (b) 223, 225 (2001).
58. J. C. Tsang, M. Freitag, V. Perebeinos, J. Liu, and Ph. Avouris, Nature Nanotechnologies 11, 321 (2007).
59. A. M. Rao, P. C. Eklund, S. Bandow, A. Thess, and R. E. Smalley, Nature 388, 257 (1997).
60. L. Langer, V. Bayot, E. Grivei, J.-P. Issi, J. P. Heremans, C. H. Olk, L. Stockman, C. Van Haesendonck, and Y. Bruynseraede, Phys. Rev. Lett. 76, 479 (1996).
61. P. Recher and D. Loss, Phys. Rev. B 65, 165327 (2002).
62. C. Bena, S. Vishveshwara, L. Balents, and M. P. A. Fisher, Phys. Rev. Lett. 89, 037901 (2002).
63. A. Bachtold, M. de Jonge, K. Grove-Rasmussen, P. L. McEuen, M. Buitelaar, and C. Schönenberger, Phys. Rev. Lett. 87, 166801 (2001)
64. M. R. Buitelaar, A. Bachtold, T. Nussbaumer, M. Iqbal, and C. Schönenberger, Phys. Rev. Lett. 88, 156801 (2002)
65. A. Bachtold, C. Strunk, J.-P. Salvetat, J.-M. Bonard, L. Forró, T. Nussbaumer, and C. Schönenberger, Nature 397, 673 (1999).
66. M. Bockrath, D. H. Cobden, J. Lu, A. G. Rinzler, R. E. Smalley, L. Balents, and P. L. McEuen, Nature 397, 598 (1999)
67. H. Ishii, H. Kataura, H. Shiozawa, H. Yoshioka, H. Otsubo, Y. Takayama, T. Miyahara, S. Suzuki, Y. Achiba, M. Nakatake, T. Narimura, M. Higashiguchi, K. Shimada, H. Namatame, and M. Taniguchi, Nature 426, 540 (2003).
68. M. R. Buitelaar, T. Nussbaurner, and C. Shonenberger, Phys. Rev. Lett. 89, 256801 (2002).
69. J. Haruyama, K. Takazawa, S. Miyadai, A. Takeda, N. Hori, I. Takesue, Y. Kanda, N. Sugiyama, T. Akazaki, and H. Takayanagi, Phys. Rev. B 68, 165420 (2003)
70. J. Haruyama, A. Tokita, N. Kobayashi, M. Nomura, S. Miyadai, K. Takazawa, A. Takeda, and Y. Kanda, Appl. Phys. Lett. 84, 4714 (2004)
71. J. Haruyama, K. Takazawa, S. Miyadai, A. Takeda, N. Hori, I. Takesue, Y. Kanda, T. Akazaki, and H. Takayanagi, Microelectron. J. 34, 537 (2003)
72. Physica C 408, 85 (2004).
73. J. Haruyama, I. Takesue, and T. Hasegawa, Phys. Rev. B 65, 33402 (2002)
74. J. Haruyama, I. Takesue, T. Hasegawa, and Y. Sato, Phys. Rev. B 073406 (2001)
75. J. Haruyama, I. Takesue, and T. Hasegawa, Appl. Phys. Lett. 81, 3031 (2002)
76. J. Haruyama, I. Takesue, and Y. Sato, Appl. Phys. Lett. 77, 2891 (2000).
77. A. Yu. Kasumov, R. Deblock, M. Kociak, B. Reulet, H. Bouchiat, I. I. Khodos, Yu. B. Gorbatov, V. T. Volkov, C. Journet, and M. Burghard, Science 284, 1508 (1999)
78. A. Kasumov, M. Kociak, M. Ferrier, R. Deblock, S. Guéron, B. Reulet, I. Khodos, O. Stéphan, and H. Bouchiat, Phys. Rev. B 68, 214521 (2003).
79. S. Bellucci and P. Onorato, Cond-mat 0504170.
80. M. Tinkam, Introduction to Superconductivity, McGraw-Hill, New York (1996).
81. J. Gonzalez, Phys. Rev. Lett. 88, 076403 (2002)
82. A. Sédéki, L. G. Caron, and C. Bourbonnais, Phys. Rev. B 65, 140515(R) (2002)
83. J. Gonzalez, Phys. Rev. Lett. 87, 136401 (2001).
84. J. Haruyama, I. Takesue, N. Kobayashi, S. Miyadai, M. Nomura, and D. Sato, Physica Stat. Sol. (b) 242, 265 (2005).
85. J. Nakamura, M. Matsudaira, J. Haruyama, H. Sugiura, M. Tachibana, J. Reppert, A. Rao, T. Nishio, Y. Hasegawa, H. Sano, and Y. Iye, Appl. Phys. Lett. 95, 142503 (2009).