Spin susceptibilities, spin densities, and their connection to spin currents

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 3, 2005, Pages

  Erlingsson, Sigurdur I ^a   Schliemann, John ^a   Loss, Daniel ^a  

^a UNIVERSITY OF BASEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ARTICLE; DENSITY; ELECTRIC CURRENT; ELECTRIC MODEL; ELECTRON; GAS; MAGNET; MATHEMATICAL ANALYSIS; SEMICONDUCTOR;

EID: 15444381243     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.035319     Document Type: Article

References (57)

1. S. A. Wolf, D. D. Awschalom, R. A. Buhrman, J. M. Daughton, S. von Molnár, M. L. Roukes, A. Y. Chtchelkanova, and D. M. Treger, Science 294, 1488 (2001).
2. G. A. Prinz, Science 282, 1660 (1998).
3. S. Datta and B. Das, Appl. Phys. Lett. 56, 665 (1990).
4. J. Schliemann, J. C. Egues, and D. Loss, Phys. Rev. Lett. 90, 146801 (2003).
5. J. C. Egues, G. Burkard, and D. Loss, Appl. Phys. Lett. 82, 2658 (2003).
6. D. Loss and D. P. DiVincenzo, Phys. Rev. A 57, 120 (1998).
7. Semiconductor Spintronics and Quantum Computation, edited by D. D. Awschalom, D. Loss, and N. Samarth (Springer-Verlag, Berlin, 2002).
8. Y. Kato, R. C. Myers, A. C. Gossard, and D. D. Awschalom, Nature (London) 427, 50 (2004).
9. J. M. Kikkawa and D. D. Awschalom, Nature (London) 397, 139 (1999).
10. G. Salis, Y. Kato, K. Ensslin, D. C. Driscoll, A. C. Gossard, and D. D. Awschalom, Nature (London) 414, 619 (2001).
11. I. E. Dzyaloshinkii, Sov. Phys. JETP .10, 628 (1959).
12. L. S. Levitov, Y. V. Nazarov, and G. M. Éliasberg, Sov. Phys. JETP 61, 133 (1985).
13. V. M. Edelstein, Phys. Rev. Lett. 75, 2004 (1995).
14. A. G. Aronov and Y. B. Lyanda-Geller, JETP Lett. 50, 431 (1989).
15. V. M. Edelstein, Solid State Commun. 73, 233 (1990).
16. L. I. Magarill and M. V. Entin, JETP Lett. 72, 195 (2000).
17. A. Voskoboynikov, S. S. Lin, C. P. Lee, and O. Tretyak, J. Appl. Phys. 87, 387 (2000).
18. X. Cartoixà, D. Z.-Y. Ting, E. S. Daniel, and T. C. McGill, Superlattices Microstruct. 30, 309 (2001).
19. Y. Kato, R. C. Myers, A. C. Gossard, and D. D. Awschalom, cond-mat/0403407 (unpublished).
20. S. D. Ganichev, S. N. Danilov, P. Scheider, V. V. Bel'kov, L. E. Golub, W. Wegscheider, D. Weiss, and W. Prettl, cond-mat/ 0403641 (unpublished).
21. C. M. Hurd, The Hall Effect in Metals and Alloys (Plenum, New York, 1973).
22. The Hall effect and its Applications, edited by C. L. Chien and C. R. Westgate (Plenum, New York, 1980).
23. M. I. Dyakonov and V. I. Perel, JETP Lett. 13, 467 (1971).
24. J. E. Hirsch, Phys. Rev. Lett. 83, 1834 (1999).
25. S. Murakami, N. Nagaosa, and S.-C. Zhang, Science 301, 1348 (2003).
26. D. Culcer, J. Sinova, N. A. Sinitsyn, T. Jungwirth, A. H. MacDonald, and Q. Niu, cond-mat/0309475 (unpublished).
27. B. A. Bernevig, J. Hu, E. Mukamel, and S.-C. Zhang, cond-mat/ 0311024 (unpublished).
28. L. Hu, J. Gao, and S.-Q. Shen, cond-mat/0403231 (unpublished).
29. J. Schliemann and D. Loss, cond-mat/0405436, Phys. Rev. B (to be published).
30. J. Hu, B. A. Bernevig, and C. Wu, Int. J. Mod. Phys. B 17, 5991 (2003).
31. S. Murakami, Phys. Rev. B 69, 241202(R) (2004).
32. J. Sinova, D. Culcer, Q. Niu, N. A. Sinitsyn, T. Jungwirth, and A. H. MacDonald, Phys. Rev. Lett. 92, 126603 (2004).
33. J. Schliemann and D. Loss, Phys. Rev. B 69, 165315 (2004).
34. N. A. Sinitsyn, E. M. Hankiewicz, W. Teizer, and J. Sinova, cond-mat/0310368 (unpublished).
35. S.-Q. Shen, cond-mat/0310368 (unpublished).
36. A. A. Burkov, A. S. Núñes, and A. H. MacDonald, cond-mat/ 0311328 (unpublished).
37. E. I. Rashba, Phys. Rev. B 68, 241315(R) (2003).
38. J. Inoue, G. E. W. Bauer, and L. W. Molenkamp, Phys. Rev. B 70, 041303(R) (2004).
39. S.-Q. Shen, M. Ma, X. C. Xie, and F. C. Zhang, cond-mat/ 0403005 (unpublished).
40. Y. Xiong and X. C. Xie, cond-mat/0403083 (unpublished).
41. E. I. Rashba, Phys. Rev. B 70, 161201(R) (2004).
42. O. Dimitrova, cond-mat/0405339 (unpublished).
43. S. Murakami, cond-mat/0405003 (unpublished).
44. L. W. Molenkamp, G. Schmidt, and G. E. W. Bauer, Phys. Rev. B 64, 121202(R) (2001).
45. G. D. Mahan, Many-Particle Physics, 3rd ed. (Kluwer Academic, New York, 2000).
46. 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. 90, 076807 (2003).
47. R. Winkler, Phys. Rev. B 69, 045317 (2004).
48. R. Winkler, cond-mat/0401106 (unpublished).
49. D. Stein, K. von Klitzing, and G. Weinmann, Phys. Rev. Lett. 51, 130 (1983).
50. M. Dobers, K. v. Klitzing, and G. Weimann, Phys. Rev. B 38, 5453 (1988).
51. N. Nestle, G. Denninger, M. Vidal, C. Weinzierl, K. Brunner, K. Eberl, and K. von Klitzing, Phys. Rev. B 56, R4359 (1997).
52. D. Grundler, Phys. Rev. Lett. 84, 6074 (2000).
53. T. Koga, J. Nitta, T. Akazaki, and H. Takayanagi, Phys. Rev. Lett. 89, 046801 (2002).
54. A. Brataas, Y. V. Nazarov, and G. E. W. Bauer, Eur. Phys. J. B 22, 99 (2001).
55. F.
56. imp]=[O(r,σ),H], where O is any operator that does not explicitly depend on p. Both the particle and spin density are such operator and thus the equations of motion remain the same in the presence of impurities. The complications due to the impurities appear in the calculation of the average values of the operators.
57. 0s and α=0. Thus, the dc spin conductivity vanishes for any dissipation mechanism. The same follows directly from the other magnetization components and in the case of α≠0.