Semiclassical spin transport in spin-orbit-coupled bands

Physical Review Letters

Volumn 93, Issue 4, 2004, Pages

  Culcer, Dimitrie ^a,b   Sinova, Jairo ^c   Sinitsyn, N A ^c   Jungwirth, T ^d,e   MacDonald, A H ^a   Niu, Q ^a,b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^c TEXAS A AND M UNIVERSITY   (United States)

^d INSTITUTE OF MATHEMATICS   (Czech Republic)

^e UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; FERROMAGNETIC MATERIALS; HALL EFFECT; HAMILTONIANS; HEURISTIC METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PARAMAGNETISM; PHASE SPACE METHODS; POLARIZATION; TORQUE MEASUREMENT; VECTORS;

SPIN CURRENT; SPIN POLARIZATION; SPINTRONICS EFFECTS; WAVEPACKETS;

ELECTRODYNAMICS;

EID: 4344579352     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.046602     Document Type: Article

References (39)

1. G. A. Prinz, Science 282, 1660 (1998).
2. S. A. Wolf, Science 294, 1488 (2001).
3. S. Datta and B. Das, Appl. Phys. Lett. 56, 665 (1990).
4. G. Schmidt et al., Phys. Rev. B 62, R4790 (2000); G. Schmidt and L.W. Molenkamp, Semicond. Sci. Technol. 17, 310 (2002).
5. G. Schmidt et al., Phys. Rev. B 62, R4790 (2000); G. Schmidt and L.W. Molenkamp, Semicond. Sci. Technol. 17, 310 (2002).
6. Y. Ohno et al., Phys. Rev. Lett. 83, 4196 (1999).
7. R. Fiederling et al., Nature (London) 402, 787 (1999).
8. Y. Ohno et al., Nature (London) 402, 790 (1999).
9. X. Jiang et al., Phys. Rev. Lett. 90, 256603 (2003).
10. B. T. Jonker, Proc. IEEE 91, 727 (2003).
11. S. Murakami et al., Science 301, 1348 (2003).
12. J. Sinova et al., Phys. Rev. Lett. 92, 126603 (2004).
13. See, for example, Florian Schuetz et al., Phys. Rev. B 69, 035313 (2004); A. M. Bratkovsky and V. V. Osipov, condmat/0307656; N. M. Chtchelkatchev and M. Mar'enko, Pis'ma Zh. Eksp. Teor. Fiz. 78, 265 (2003) [JETP Lett. 78, 230 (2003)]; A. Slobodskyy et al., Phys. Rev. Lett. 90, 246601 (2003).
14. See, for example, Florian Schuetz et al., Phys. Rev. B 69, 035313 (2004); A. M. Bratkovsky and V. V. Osipov, condmat/0307656; N. M. Chtchelkatchev and M. Mar'enko, Pis'ma Zh. Eksp. Teor. Fiz. 78, 265 (2003) [JETP Lett. 78, 230 (2003)]; A. Slobodskyy et al., Phys. Rev. Lett. 90, 246601 (2003).
15. See, for example, Florian Schuetz et al., Phys. Rev. B 69, 035313 (2004); A. M. Bratkovsky and V. V. Osipov, condmat/0307656; N. M. Chtchelkatchev and M. Mar'enko, Pis'ma Zh. Eksp. Teor. Fiz. 78, 265 (2003) [JETP Lett. 78, 230 (2003)]; A. Slobodskyy et al., Phys. Rev. Lett. 90, 246601 (2003).
16. See, for example, Florian Schuetz et al., Phys. Rev. B 69, 035313 (2004); A. M. Bratkovsky and V. V. Osipov, condmat/0307656; N. M. Chtchelkatchev and M. Mar'enko, Pis'ma Zh. Eksp. Teor. Fiz. 78, 265 (2003) [JETP Lett. 78, 230 (2003)]; A. Slobodskyy et al., Phys. Rev. Lett. 90, 246601 (2003).
17. See, for example, Florian Schuetz et al., Phys. Rev. B 69, 035313 (2004); A. M. Bratkovsky and V. V. Osipov, condmat/0307656; N. M. Chtchelkatchev and M. Mar'enko, Pis'ma Zh. Eksp. Teor. Fiz. 78, 265 (2003) [JETP Lett. 78, 230 (2003)]; A. Slobodskyy et al., Phys. Rev. Lett. 90, 246601 (2003).
18. M.I. Dyakonov and V.I. Perel, Zh. Eksp. Teor. Fiz. 60, 1954 (1971) [J. Exp. Theor. Phys. 33, 1053 (1971)].
19. M.I. Dyakonov and V.I. Perel, Zh. Eksp. Teor. Fiz. 60, 1954 (1971) [J. Exp. Theor. Phys. 33, 1053 (1971)].
20. J.E. Hirsch, Phys. Rev. Lett. 83, 1834 (1999).
21. S. Zhang, Phys. Rev. Lett. 85, 393 (2000).
22. E.G. Mishchenko and B.I. Halperin, Phys. Rev. B 68, 045317 (2003).
23. Y. Qi and S. Zhang, Phys. Rev. B 65, 214407 (2002); 67, 052407 (2003).
24. Y. Qi and S. Zhang, Phys. Rev. B 65, 214407 (2002); 67, 052407 (2003).
25. V.K. Dugaev et al., Phys. Rev. B 65, 224419 (2002).
26. J.M.V Lopes et al., J. Magn. Magn. Mater. 242, 482 (2002).
27. J. Fabian and S. DasSarma, Phys. Rev. B 66, 024436 (2002).
28. G. Sundaram and Q. Niu, Phys. Rev. B 59, 14915 (1999).
29. T. Jungwirth et al., Phys. Rev. Lett. 88, 207208 (2002); T. Jungwirth et al., Appl. Phys. Lett. 83, 320 (2003).
30. T. Jungwirth et al., Phys. Rev. Lett. 88, 207208 (2002); T. Jungwirth et al., Appl. Phys. Lett. 83, 320 (2003).
31. Yugui Yao et al., Phys. Rev. Lett. 92, 037204 (2004).
32. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Saunders College Publishing, New York, 1976), 2nd ed.
33. D. Culcer and Q. Niu (to be published).
34. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1999), 3rd ed., Sect. 6.6, pp. 248-258.
35. We have defined the collision term in analogy with Eq. (2) in [17]. However, we have made some simplifications which are valid for degenerate bands.
36. M. I. Dyakonov and V. I. Perel, ZhETF Pis. Red. 13, 657 (1971) [JETP Lett. 13, 467 (1971)].
37. M. I. Dyakonov and V. I. Perel, ZhETF Pis. Red. 13, 657 (1971) [JETP Lett. 13, 467 (1971)].
38. S. Murakami et al., Phys. Rev. B 69, 235206 (2004).
39. Y. Mitsumori et al., Phys. Rev. B 69, 033203 (2004).