Decoherence of transported spin in multichannel spin-orbit-coupled spintronic devices: Scattering approach to spin-density matrix from the ballistic to the localized regime

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 19, 2005, Pages

  Nikolić, Branislav K ^a   Souma, Satofumi ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33344456944     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.195328     Document Type: Article

References (95)

1. I. Žutić, J. Fabian, and S. Das Sarma, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.323 76, 323 (2004).
2. Spin Dependent Transport in Magnetic Nanostructures, edited by, S. Maekawa, and, T. Shinjo, (Taylor & Francis, London, 2002).
3. G. A. Prinz, Science SCIEAS 0036-8075 10.1126/science.282.5394.1660 282, 1660 (1998).
4. D. D. Awschalom, D. Loss, and N. Samarth, Semiconductor Spintronics and Quantum Computation (Springer, Berlin, 2002).
5. F. F. Jedema, A. T. Filip, and B. J. van Wees, Nature (London) NATUAS 0028-0836 10.1038/35066533 410, 345 (2001).
6. G. Schmidt, D. Ferrand, L. W. Molenkamp, A. T. Filip, and B. J. van Wees, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.R4790 62, R4790 (2000);
7. A. Fert and H. Jaffrès, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.184420 64, 184420 (2001);
8. E. I. Rashba, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/j.physe. 2003.08.002 20, 189 (2004).
9. Y. Ohno, D. K. Young, B. Beschoten, F. Matsukura, H. Ohno, and D. D. Awschalom, Nature (London) NATUAS 0028-0836 10.1038/45509 402, 790 (1999);
10. R. Fiederling, M. Keim, G. Reuscher, W. Ossau, G. Schmidt, A. Waag, and L. W. Molenkamp, Nature (London) NATUAS 0028-0836 10.1038/45502 402, 787 (1999).
11. J. M. Kikkawa and D. D. Awschalom, Nature (London) NATUAS 0028-0836 10.1038/16420 397, 139 (1999).
12. M. J. Stevens, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.136603 90, 136603 (2003).
13. P. R. Hammar and M. Johnson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.066806 88, 066806 (2002).
14. J. A. Folk, R. M. Potok, C. M. Marcus, and V. Umansky, Science SCIEAS 0036-8075 10.1126/science.1078419 299, 679 (2003).
15. S. K. Watson, R. M. Potok, C. M. Marcus, and V. Umansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.258301 91, 258301 (2003).
16. B. K. Nikolić, L. P. Zĝrbo, and S. Souma, cond-mat/0408693 (unpublished);
17. S. Souma and B. K. Nikolić, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.106602 94, 106602 (2005);
18. L. Sheng, D. N. Sheng, and C. S. Ting, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.016602 94, 016602 (2005);
19. E. M. Hankiewicz, L. W. Molenkamp, T. Jungwirth, and J. Sinova, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.241301 70, 241301 (R) (2004).
20. J. Nitta, F. E. Meijer, and H. Takayanagi, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.124485 75, 695 (1999).
21. D. Frustaglia and K. Richter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.235310 69, 235310 (2004);
22. B. Molnár, F. M. Peeters, and P. Vasilopoulos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.155335 69, 155335 (2004).
23. S. Souma and B. K. Nikolić, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.195346 70, 195346 (2004).
24. S. Datta and B. Das, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.102730 56, 665 (1990).
25. J. Schliemann, J. C. Egues, and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.146801 90, 146801 (2003).
26. A. E. Popescu and R. Ionicioiu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.245422 69, 245422 (2004);
27. P. Földi, B. Molnár, M. G. Benedict, and F. M. Peeters, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.033309 71, 033309 (2005).
28. Yu. A. Bychkov and E. I. Rashba, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/33/015 17, 6039 (1984);
29. P. Pfeffer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.15902 59, 15902 (1998).
30. J. Nitta, T. Akazaki, H. Takayanagi, and T. Enoki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.1335 78, 1335 (1997).
31. D. D. Awschalom and J. M. Kikkawa, Phys. Today PHTOAD 0031-9228 10.1063/1.882695 52 (6), 33 (1999).
32. R. H. Silsbee, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/7/R02 16, R179 (2004).
33. J. Fabian and S. Das Sarma, J. Vac. Sci. Technol. B JVTBD9 0734-211X 10.1116/1.590813 17, 1708 (1999).
34. M. I. D'yakonov and V. I. Perel', Fiz. Tverd. Tela (Leningrad) FTVTAC 0367-3294 13, 3581 (1971)
35. M. I. D'yakonov and V. I. Perel', [Sov. Phys. Solid State SPSSA7 0038-5654 13, 3023 (1972)];
36. M. I. D'yakonov and V. I. Perel', Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 60, 1954 (1971)
37. M. I. D'yakonov and V. I. Perel', [Sov. Phys. JETP SPHJAR 0038-5646 33, 1053 (1971)].
38. A. V. Khaetskii and Y. V. Nazarov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.125316 64, 125316 (2001);
39. I. A. Merkulov, Al. L. Efros, and M. Rosen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.205309 65, 205309 (2002);
40. Y. G. Semenov and K. W. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.026601 92, 026601 (2004).
41. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, U.K., 1995).
42. C. W. J. Beenakker, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 69.731 69, 731 (1997).
43. A. Peres and D. R. Terno, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.93 76, 93 (2004).
44. B. K. Nikolić, cond-mat/0301614 (unpublished).
45. E. Joos, H. D. Zeh, C. Kiefer, D. Giulini, J. Kupsch, and I.-O. Stamatescu, Decoherence and the Appearance of a Classical World in Quantum Theory, 2nd ed. (Springer-Verlag, Heidelberg, 2003).
46. W. Zurek, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.715 75, 715 (2003).
47. B. W. Alphenaar, K. Tsukagoshi, and M. Wagner, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1359220 89, 6863 (2001).
48. A. A. Burkov, A. S. Núñez, and A. H. MacDonald, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.155308 70, 155308 (2004).
49. M. Q. Wang and M. W. Wu, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1526936 93, 410 (2003).
50. S. Saikin, M. Shen, M.-C. Cheng, and V. Privman, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1589581 94, 1769 (2003);
51. Y. G. Semenov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.115319 67, 115319 (2003);
52. F. X. Bronold, A. Saxena, and D. L. Smith, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.245210 70, 245210 (2004).
53. S. Pramanik, S. Bandyopadhyay, and M. Cahay, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.075313 68, 075313 (2003).
54. E. G. Mishchenko and B. I. Halperin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.045317 68, 045317 (2003).
55. C.-H. Chang, A. G. Mal'shukov, and K. A. Chao, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.245309 70, 245309 (2004).
56. D. Culcer, J. Sinova, N. A. Sinitsyn, T. Jungwirth, A. H. MacDonald, and Q. Niu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.046602 93, 046602 (2004).
57. F. Mireles and G. Kirczenow, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.024426 64, 024426 (2001).
58. G. Feve, W. D. Oliver, M. Aranzana, and Y. Yamamoto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.155328 66, 155328 (2002).
59. T. P. Pareek and P. Bruno, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.241305 65, 241305 (R) (2002).
60. H. X. Tang, F. G. Monzon, R. Lifshitz, M. C. Cross, and M. L. Roukes, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.4437 61, 4437 (2000).
61. M. Popp, D. Frustaglia, and K. Richter, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/14/2/347 14, 347 (2003).
62. A. Galindo and A. Martin-Delgado, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.347 74, 347 (2002).
63. R. M. Potok, J. A. Folk, C. M. Marcus, and V. Umansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.266602 89, 266602 (2002).
64. A. G. Mal'shukov, K. A. Chao, and M. Willander, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.3794 76, 3794 (1996);
65. I. S. Lyubinskiy and V. Yu. Kacharovskii, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.205335 70, 205335 (2004).
66. L. E. Ballentine, Quantum Mechanics: A Modern Development (World Scientific, Singapore, 1998).
67. S. Washburn and R. A. Webb, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/55/8/004 55, 1311 (1992).
68. R. Landauer, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01304229 68, 217 (1987).
69. J. B. Miller, D. M. Zumbühl, C. M. Marcus, Y. B. Lyanda- Geller, D. Goldhaber-Gordon, K. Campman, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.076807 90, 076807 (2003).
70. P. Středa and P. Šeba, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.256601 90, 256601 (2003).
71. M. Governale and U. Zülicke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.073311 66, 073311 (2002).
72. Y. Qi and S. Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67. 052407 67, 052407 (2003).
73. S. Hikami, A. I. Larkin, and Y. Nagaoka, Prog. Theor. Phys. PTPKAV 0033-068X 63, 707 (1980).
74. S. V. Iordanskii, Yu. B. Lyanda-Geller, and G. E. Pikus, JETP Lett. JTPLA2 0021-3640 10.1134/1.566442 60, 206 (1994);
75. F. G. Pikus and G. E. Pikus, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.16928 51, 16928 (1995).
76. T. Damker, H. Böttger, and V. V. Bryksin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.205327 69, 205327 (2004).
77. I. L. Aleiner and V. I. Fal'ko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.256801 87, 256801 (2001);
78. J.-H. Cremers, P. W. Brouwer, and V. I. Fal'ko, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.125329 68, 125329 (2003).
79. G. Dresselhaus, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.100.580 100, 580 (1955).
80. S. D. Ganichev, V. V. Bel'kov, L. E. Golub, E. L. Ivchenko, P. Schneider, S. Giglberger, J. Eroms, J. De Boeck, G. Borghs, W. Wegscheider, D. Weiss, and W. Prettl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.256601 92, 256601 (2004).
81. A. V. Moroz and C. H. W. Barnes, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.14272 60, 14272 (1999).
82. B. K. Nikolić and P. B. Allen, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/12/46/310 12, 9629 (2000).
83. B. J. van Wees, H. van Houten, C. W. J. Beenakker, J. G. Williamson, L. P. Kouwenhoven, D. van der Marel, and C. T. Foxon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.848 60, 848 (1988).
84. J. C. Egues, G. Burkard, and D. Loss, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1564867 82, 2658 (2003).
85. W. Häusler, Physica E (Amsterdam) PELNFM 1386-9477 18, 337 (2003).
86. S. Murakami, N. Nagaosa, and S.-C. Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.235206 69, 235206 (2004);
87. J. Sinova, D. Culcer, Q. Niu, N. A. Sinitsyn, T. Jungwirth, and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.126603 92, 126603 (2004).
88. Y. Imry, cond-mat/0202044 (unpublished);
89. A. Ratchov, F. Faure, and F. W. J. Hekking, quant-ph/0402176 (unpublished).
90. A. G. Mal'shukov and K. A. Chao, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.R2413 61, R2413 (2000);
91. A. A. Kiselev and K. W. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.13115 61, 13115 (2000).
92. J. I. Inoue, G. E. W. Bauer, and L. W. Molenkamp, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.033104 67, 033104 (2003).
93. T. Ando, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.8017 44, 8017 (1991).
94. Y. Gefen, in Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems, edited by, I. V. Lerner,,, B. L. Altshuler,,, V. I. Fal'ko,, and, T. Giamarchi, (Kluwer, Dodrecht, 2002).
95. H. Aikawa, K. Kobayashi, A. Sano, S. Katsumoto, and Y. Iye, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.176802 92, 176802 (2004).