Spin Hall and spin-diagonal conductivity in the presence of Rashba and Dresselhaus spin-orbit coupling

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 8, 2004, Pages

  Sinitsyn, N A ^a   Hankiewicz, E M ^a   Teizer, Winfried ^a   Sinova, Jairo ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ARTICLE; CONDUCTANCE; ELECTRIC CURRENT; ELECTRIC FIELD; ELECTRON; GAS; LINEAR SYSTEM; MAGNETISM;

EID: 19544362191     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.081312     Document Type: Article

References (53)

1. S.A. Wolf, Science 294, 1488 (2001).
2. See, for example, F. Meier and D. Loss, Phys. Rev. Lett. 90, 167204 (2003); F. Schuetz, M. Kollar, and P. Kopietz, cond-mat/0308230; A.M. Bratkovsky and V.V. Osipov, cond-mat/0307656; K.C. Hall et al., Appl. Phys. Lett. 83, 2937 (2003); A. Slobodskyy, C. Grould, T. Slobodskyy, C. Becker, G. Schmidt, and W. Molenkamp, Phys. Rev. Lett. 90, 246601 (2003); C.-R. Hu, cond-mat/0308027.
3. See, for example, F. Meier and D. Loss, Phys. Rev. Lett. 90, 167204 (2003); F. Schuetz, M. Kollar, and P. Kopietz, cond-mat/0308230; A.M. Bratkovsky and V.V. Osipov, cond-mat/0307656; K.C. Hall et al., Appl. Phys. Lett. 83, 2937 (2003); A. Slobodskyy, C. Grould, T. Slobodskyy, C. Becker, G. Schmidt, and W. Molenkamp, Phys. Rev. Lett. 90, 246601 (2003); C.-R. Hu, cond-mat/0308027.
4. See, for example, F. Meier and D. Loss, Phys. Rev. Lett. 90, 167204 (2003); F. Schuetz, M. Kollar, and P. Kopietz, cond-mat/0308230; A.M. Bratkovsky and V.V. Osipov, cond-mat/0307656; K.C. Hall et al., Appl. Phys. Lett. 83, 2937 (2003); A. Slobodskyy, C. Grould, T. Slobodskyy, C. Becker, G. Schmidt, and W. Molenkamp, Phys. Rev. Lett. 90, 246601 (2003); C.-R. Hu, cond-mat/0308027.
5. See, for example, F. Meier and D. Loss, Phys. Rev. Lett. 90, 167204 (2003); F. Schuetz, M. Kollar, and P. Kopietz, cond-mat/0308230; A.M. Bratkovsky and V.V. Osipov, cond-mat/0307656; K.C. Hall et al., Appl. Phys. Lett. 83, 2937 (2003); A. Slobodskyy, C. Grould, T. Slobodskyy, C. Becker, G. Schmidt, and W. Molenkamp, Phys. Rev. Lett. 90, 246601 (2003); C.-R. Hu, cond-mat/0308027.
6. See, for example, F. Meier and D. Loss, Phys. Rev. Lett. 90, 167204 (2003); F. Schuetz, M. Kollar, and P. Kopietz, cond-mat/0308230; A.M. Bratkovsky and V.V. Osipov, cond-mat/0307656; K.C. Hall et al., Appl. Phys. Lett. 83, 2937 (2003); A. Slobodskyy, C. Grould, T. Slobodskyy, C. Becker, G. Schmidt, and W. Molenkamp, Phys. Rev. Lett. 90, 246601 (2003); C.-R. Hu, cond-mat/0308027.
7. See, for example, F. Meier and D. Loss, Phys. Rev. Lett. 90, 167204 (2003); F. Schuetz, M. Kollar, and P. Kopietz, cond-mat/0308230; A.M. Bratkovsky and V.V. Osipov, cond-mat/0307656; K.C. Hall et al., Appl. Phys. Lett. 83, 2937 (2003); A. Slobodskyy, C. Grould, T. Slobodskyy, C. Becker, G. Schmidt, and W. Molenkamp, Phys. Rev. Lett. 90, 246601 (2003); C.-R. Hu, cond-mat/0308027.
8. M.N. Baibich et al., Phys. Rev. Lett. 61, 2472 (1988); G. Binasch et al., Phys. Rev. B 39, 4828 (1989); J.S. Moodera et al., Phys. Rev. Lett. 74, 3273, (1995); W.J. Gallagher et al., J. Appl. Phys. 81, 3741 (1997).
9. M.N. Baibich et al., Phys. Rev. Lett. 61, 2472 (1988); G. Binasch et al., Phys. Rev. B 39, 4828 (1989); J.S. Moodera et al., Phys. Rev. Lett. 74, 3273, (1995); W.J. Gallagher et al., J. Appl. Phys. 81, 3741 (1997).
10. M.N. Baibich et al., Phys. Rev. Lett. 61, 2472 (1988); G. Binasch et al., Phys. Rev. B 39, 4828 (1989); J.S. Moodera et al., Phys. Rev. Lett. 74, 3273, (1995); W.J. Gallagher et al., J. Appl. Phys. 81, 3741 (1997).
11. M.N. Baibich et al., Phys. Rev. Lett. 61, 2472 (1988); G. Binasch et al., Phys. Rev. B 39, 4828 (1989); J.S. Moodera et al., Phys. Rev. Lett. 74, 3273, (1995); W.J. Gallagher et al., J. Appl. Phys. 81, 3741 (1997).
12. R. Fiederling et al., Nature (London) 402, 787 (1999); G. Schmidt and L.W. Molenkamp, Semicond. Sci. Technol, 17, 310 (2002), and work cited therein; B.T. Jonker, Proc. IEEE 91, 727 (2003).
13. R. Fiederling et al., Nature (London) 402, 787 (1999); G. Schmidt and L.W. Molenkamp, Semicond. Sci. Technol, 17, 310 (2002), and work cited therein; B.T. Jonker, Proc. IEEE 91, 727 (2003).
14. R. Fiederling et al., Nature (London) 402, 787 (1999); G. Schmidt and L.W. Molenkamp, Semicond. Sci. Technol, 17, 310 (2002), and work cited therein; B.T. Jonker, Proc. IEEE 91, 727 (2003).
15. J.M. Kikkawa and D.D. Awschalom, Phys. Rev. Lett. 80, 4313 (1998).
16. H. Ohno, Science 281, 951 (1998).
17. S. Murakami, N. Nagaosa, and S.-C. Zhang, Science 301, 1348 (2003).
18. J. Sinova, D. Culcer, Q. Niu, N.A. Sinitsyn, T. Jungwirth, and A.H. MacDonald, Phys. Rev. Lett. 92, 126603 (2004).
19. J.E. Hirsch, Phys. Rev. Lett. 83, 1834 (1999).
20. S. Zhang, Phys. Rev. Lett. 85, 393 (2000).
21. M.I. Dyakonov and V.I. Perel, Zh. Eksp. Teor. Fiz. 13, 657 (1971) [Sov. Phys. JETP 33, 467 (1971)].
22. M.I. Dyakonov and V.I. Perel, Zh. Eksp. Teor. Fiz. 13, 657 (1971) [Sov. Phys. JETP 33, 467 (1971)].
23. J.B. Miller, et al., Phys. Rev. Lett. 90, 076807 (2003).
24. S.D. Ganichev et al., Phys. Rev. Lett. 92, 256601 (2004).
25. J. Schliemann, J.C. Egues, and D. Loss, Phys. Rev. Lett. 90, 146801 (2003).
26. Unlike the equilibrium in-plane polarized spin currents mentioned in a recent work by E. Rashba, cond-mat/0311110, the currents which we consider here are polarized perpendicular to the plane and vanish in the zero electric field limit. Hence they arise as a linear response to the perturbation and no other equilibrium current contributions need to be substracted.
27. E.G. Mishchenko and B.I. Halperin, Phys. Rev. B 68, 045317 (2003).
28. Y.A. Bychkov and E.I. Rashba, J. Phys. C 17, 6039 (1984).
29. G. Dresselhaus, Phys. Rev. 100, 580 (1955).
30. J. Nitta, T. Akazaki, Hideaki Takayanagi, and T. Enoki, Phys. Rev. Lett. 78, 1335 (2003).
31. S.D. Ganichev et al., Nature (London) 417, 153 (2002).
32. T. Koga, J. Nitta, T. Akazaki, and H. Takayanagi, Phys. Rev. Lett. 89, 046801 (2002).
33. S.A. Studenikin, P.R. Coleridge, N. Ahmed, P.J. Poole, and A. Sachrajda, Phys. Rev. B 68, 035317 (2003).
34. J. Inoue, G.E.W. Bauer, and L.W. Molenkamp, Phys. Rev. B 67, 033104 (2003).
35. J. Schliemann and D. Loss, Phys. Rev. B 68, 165311 (2003).
36. S. Datta and B. Das, Appl. Phys. Lett. 56, 665 (1990).
37. D. Culcer et al., Phys. Rev. Lett. 93, 046602 (2004).
38. G. Sundaram and Q. Niu, Phys. Rev. B 59, 14 915 (1999).
39. N.W. Ashcroft and N.D. Mermin, Solid State Physics, 2nd ed. (Saunders College Publishing, Philadelphia, 1976).
40. J. Sinova, T. Jungwirth, J. Kucera, and A.H. MacDonald, Phys. Rev. B 67, 235203 (2003).
41. J. Schliemann and D. Loss, Phys. Rev. B 69, 165315 (2004).
42. J. Inoue, G.E.W. Bauer, and L.W. Molenkamp, Phys. Rev. B 70, 041303 (2004).
43. G. Mahan, Many-Particle Physics, 2nd ed. (Plenum, New York, 1993).
44. Y. Xiong and X.C. Xie, cond-mat/0403083.
45. K. Nemura, J. Sinova, Q. Niu, and A.H. MacDonald (unpublished).
46. D. Grundler, Phys. Rev. Lett. 84, 6074 (2000).
47. T. Jungwirth, Q. Niu, and A.H. MacDonald, Phys. Rev. Lett. 88, 207208 (2002); T. Jungwirth et al., Appl. Phys. Lett. 83, 320 (2003).
48. T. Jungwirth, Q. Niu, and A.H. MacDonald, Phys. Rev. Lett. 88, 207208 (2002); T. Jungwirth et al., Appl. Phys. Lett. 83, 320 (2003).
49. D. Culcer, A.H. MacDonald, and Q. Niu, Phys. Rev. B 68, 045327 (2003).
50. K. Ohgushi, S. Murakami, and N. Nagaosa, Phys. Rev. B 62, R6065 (2000); M. Onoda and N. Nagaosa, J. Phys. Soc. Jpn. 71, 19 (2002).
51. K. Ohgushi, S. Murakami, and N. Nagaosa, Phys. Rev. B 62, R6065 (2000); M. Onoda and N. Nagaosa, J. Phys. Soc. Jpn. 71, 19 (2002).
52. A. Crépieux et al., cond-mat/0105614; T. Dietl et al., cond-mat/0306484.
53. S.-Q. Shen, Phys. Rev. B 70, 081311 (2004).