Dephasing in Rashba spin precession along multichannel quantum wires and nanotubes

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 11, 2004, Pages

  Häusler, Wolfgang ^a,b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITY OF SIEGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CARBON NANOTUBE;

ACCELERATION; ARTICLE; CHANNEL GATING; DEVICE; ELECTRIC POTENTIAL; ELECTRON TRANSPORT; HYPOTHESIS; LIQUID; MOLECULAR INTERACTION; NANOTUBE; PARAMETER; QUANTUM MECHANICS; SEMICONDUCTOR; TRANSPORT KINETICS;

EID: 19744382285     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.115313     Document Type: Article

References (52)

1. É. I. Rashba, Sov. Phys. Solid State 2, 1109 (1960); Yu. A. Bychkov and É. I. Rashba, JETP Lett. 39, 78 (1984).
2. É. I. Rashba, Sov. Phys. Solid State 2, 1109 (1960); Yu. A. Bychkov and É. I. Rashba, JETP Lett. 39, 78 (1984).
3. J. Nitta, T. Akazaki, H. Takayanagi, and T. Enoki, Phys. Rev. Lett. 78, 1335 (1997); G. Engels, J. Lange, G. Schäpers, and H. Lüth, Phys. Rev. B 55, R1958 (1997); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Matsuyama, R. Kürsten, C. Meißner, and U. Merkt, ibid. 61, 15588 (2000).
4. J. Nitta, T. Akazaki, H. Takayanagi, and T. Enoki, Phys. Rev. Lett. 78, 1335 (1997); G. Engels, J. Lange, G. Schäpers, and H. Lüth, Phys. Rev. B 55, R1958 (1997); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Matsuyama, R. Kürsten, C. Meißner, and U. Merkt, ibid. 61, 15588 (2000).
5. J. Nitta, T. Akazaki, H. Takayanagi, and T. Enoki, Phys. Rev. Lett. 78, 1335 (1997); G. Engels, J. Lange, G. Schäpers, and H. Lüth, Phys. Rev. B 55, R1958 (1997); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Matsuyama, R. Kürsten, C. Meißner, and U. Merkt, ibid. 61, 15588 (2000).
6. J. Nitta, T. Akazaki, H. Takayanagi, and T. Enoki, Phys. Rev. Lett. 78, 1335 (1997); G. Engels, J. Lange, G. Schäpers, and H. Lüth, Phys. Rev. B 55, R1958 (1997); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Matsuyama, R. Kürsten, C. Meißner, and U. Merkt, ibid. 61, 15588 (2000).
7. J. Nitta, T. Akazaki, H. Takayanagi, and T. Enoki, Phys. Rev. Lett. 78, 1335 (1997); G. Engels, J. Lange, G. Schäpers, and H. Lüth, Phys. Rev. B 55, R1958 (1997); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Schäpers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, and H. Lüth, J. Appl. Phys. 83, 4324 (1998); T. Matsuyama, R. Kürsten, C. Meißner, and U. Merkt, ibid. 61, 15588 (2000).
8. B. Datta and S. Das, Appl. Phys. Lett. 56, 665 (1990).
9. J. C. Egues, G. Burkard, and D. Loss, Phys. Rev. Lett. 89, 176401 (2002).
10. M. I. D'yakonov and V. I. Perel', Sov. Phys. Solid State 13, 3023 (1972).
11. M. Q. Weng and M. W. Wu, Phys. Rev. B 68, 075312 (2003).
12. S. Pramanik, S. Bandyopadhyay, and M. Cahay, Appl. Phys. Lett. 84, 266 (2004); cond-mat/0403021 (unpublished).
13. K. Tsukagoshi, B. W. Alphenaar, and H. Ago, Nature (London) 401, 572 (1999); J.-R. Kim, H. M. So, J.-J. Kim, and J. Kim, Phys. Rev. B 66, 233401 (2002); B. Zhao, I. Mönch, H. Vinzelberg, T. Mühl, and C. M. Schneider, Appl. Phys. Lett. 80, 3144 (2002).
14. K. Tsukagoshi, B. W. Alphenaar, and H. Ago, Nature (London) 401, 572 (1999); J.-R. Kim, H. M. So, J.-J. Kim, and J. Kim, Phys. Rev. B 66, 233401 (2002); B. Zhao, I. Mönch, H. Vinzelberg, T. Mühl, and C. M. Schneider, Appl. Phys. Lett. 80, 3144 (2002).
15. K. Tsukagoshi, B. W. Alphenaar, and H. Ago, Nature (London) 401, 572 (1999); J.-R. Kim, H. M. So, J.-J. Kim, and J. Kim, Phys. Rev. B 66, 233401 (2002); B. Zhao, I. Mönch, H. Vinzelberg, T. Mühl, and C. M. Schneider, Appl. Phys. Lett. 80, 3144 (2002).
16. L. Balents and R. Egger, Phys. Rev. B 64, 035310 (2001).
17. O. M. Auslaender, A. Yacoby, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, Science 295, 825 (2002); Y. Tserkovnyak, B. I. Halperin, O. M. Auslaender, and A. Yacoby, Phys. Rev. B 68, 125312 (2003); U. Zülicke and M. Governale, Phys. Rev. B 65, 205304 (2002).
18. O. M. Auslaender, A. Yacoby, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, Science 295, 825 (2002); Y. Tserkovnyak, B. I. Halperin, O. M. Auslaender, and A. Yacoby, Phys. Rev. B 68, 125312 (2003); U. Zülicke and M. Governale, Phys. Rev. B 65, 205304 (2002).
19. O. M. Auslaender, A. Yacoby, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, Science 295, 825 (2002); Y. Tserkovnyak, B. I. Halperin, O. M. Auslaender, and A. Yacoby, Phys. Rev. B 68, 125312 (2003); U. Zülicke and M. Governale, Phys. Rev. B 65, 205304 (2002).
20. I. E. Dzyaloshinskiǐ and A. I. Larkin, Sov. Phys. JETP 38, 202 (1974).
21. O. M. Auslaender, A. Yacoby, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 84, 1764 (2000); M. Rother, W. Wegscheider, R. A. Deutschmann, M. Bichler, and G. Abstreiter, Physica E (Amsterdam) 6, 551 (2000).
22. O. M. Auslaender, A. Yacoby, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 84, 1764 (2000); M. Rother, W. Wegscheider, R. A. Deutschmann, M. Bichler, and G. Abstreiter, Physica E (Amsterdam) 6, 551 (2000).
23. M. Bockrath, D. H. Cobden, J. Lu, A. G. Rinzler, R. E. Smalley, L. Balents, and P. L. McEuen, Nature (London) 397, 598 (1999).
24. R. Egger and A. O. Gogolin, Eur. Phys. J. B 3, 281 (1998).
25. See, for example, J. Voit, Rep. Prog. Phys. 58, 977 (1995).
26. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
27. See, for example, A. M. Finkel'stein and A. I. Larkin, Phys. Rev. B 47, 10461 (1993); H. J. Schulz, ibid. 53, R2959 (1996); O. A. Starykh, D. L. Maslov, W. Häusler, and L. I. Glazman, in Low-Dimensional Systems-Interactions and Transport Properties, edited by T. Brandes, Lecture Notes in Physics (Springer, Berlin, 2000), p. 37, cf. also cond-mat/9911286, or Ref. 14. In the present work we call the individual 1D system interchangeably "mode" or "channel."
28. See, for example, A. M. Finkel'stein and A. I. Larkin, Phys. Rev. B 47, 10461 (1993); H. J. Schulz, ibid. 53, R2959 (1996); O. A. Starykh, D. L. Maslov, W. Häusler, and L. I. Glazman, in Low-Dimensional Systems-Interactions and Transport Properties, edited by T. Brandes, Lecture Notes in Physics (Springer, Berlin, 2000), p. 37, cf. also cond-mat/9911286, or Ref. 14. In the present work we call the individual 1D system interchangeably "mode" or "channel."
29. See, for example, A. M. Finkel'stein and A. I. Larkin, Phys. Rev. B 47, 10461 (1993); H. J. Schulz, ibid. 53, R2959 (1996); O. A. Starykh, D. L. Maslov, W. Häusler, and L. I. Glazman, in Low-Dimensional Systems-Interactions and Transport Properties, edited by T. Brandes, Lecture Notes in Physics (Springer, Berlin, 2000), p. 37, cf. also cond-mat/9911286, or Ref. 14. In the present work we call the individual 1D system interchangeably "mode" or "channel."
30. K. A. Matveev and L. I. Glazman, Phys. Rev. Lett. 70, 990 (1993).
31. C. L. Kane and M. P.A. Fisher, Phys. Rev. Lett. 68, 1220 (1992).
32. Q. P. Li, S. Das Sarma, and R. Joynt, Phys. Rev. B 45, 13713 (1992).
33. W. Häusler (unpublished).
34. W. Häusler, L. Kecke, and A. H. MacDonald, Phys. Rev. B 65, 085104 (2002).
35. L. Calmels and A. Gold, Europhys. Lett. 39, 539 (1997); L. Kecke and W. Häusler, Phys. Rev. B 69, 085103 (2004).
36. L. Calmels and A. Gold, Europhys. Lett. 39, 539 (1997); L. Kecke and W. Häusler, Phys. Rev. B 69, 085103 (2004).
37. H. J. Schulz, Phys. Rev. Lett. 64, 2831 (1990).
38. T. Giamarchi, Quantum Physics in One Dimension (Clarendon, Oxford, 2004).
39. C. E. Creffield, W. Häusler, and A. H. MacDonald, Europhys. Lett. 53, 221 (2001).
40. T. Kimura, K. Kuroki, and H. Aoki, Phys. Rev. B 53, 9572 (1996).
41. G. Y. Hu and R. F. O'Connell, Phys. Rev. B 42, 1290 (1990).
42. E. G. Mishchenko, A. V. Andreev, and L. I. Glazman, Phys. Rev. Lett. 87, 246801 (2001).
43. W. Häusler and A. H. MacDonald, J. Phys. Soc. Jpn. Suppl. A 72, 195 (2003).
44. This property is related with conductance quantization of ballistic wires.
45. W. Häusler, Phys. Rev. B 63, 121310 (2001).
46. W. Häusler, Physica E (Amsterdam) 18, 337 (2003).
47. A. De Martino, R. Egger, K. Hallberg, and C. A. Balseiro, Phys. Rev. Lett. 88, 206402 (2002).
48. M. V. Entin and L. I. Magarill, Phys. Rev. B 64, 085330 (2001).
49. G.-H. Chen and M. E. Raikh, Phys. Rev. B 60, 4826 (1999).
50. so is negligible.
51. F should still be larger than these gaps.
52. When doping occupies excited angular momentum states, as often in multiwalled NT, we expect similar dephasing as in quantum wires.