Spin current in the Kondo lattice model

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 14, 2003, Pages

  Shen, Shun Qing ^a   Xie, X C ^b,c  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b OKLAHOMA STATE UNIVERSITY   (United States)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

TRANSITION ELEMENT;

ARTICLE; CHIRALITY; CRYSTAL STRUCTURE; ELECTRIC FIELD; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOLECULAR INTERACTION;

EID: 0038440766     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.144423     Document Type: Article

References (34)

1. A A. Wolf, Science (Washington, DC, U.S.)294, 1488 (2001).
2. Spin Electronics, edited by M. Ziese and M. J. Thornton (Springer, New York, 2002).
3. Semiconductor Spintronics and Quantum Computation, edited by D. D. Awschalom, D. Loss, and N. Samarth (Springer, New York, 2002).
4. J E. Hirsch, Phys. Rev. Lett.83, 1834 (1999);
5. J E. HirschPhys. Rev. B60, 14787 (1999).
6. S. Zhang, Phys. Rev. Lett.85, 393 (2002).
7. A. Brataas, Y. Tserkovnyak, G E W. Bauer, and B I. Halperin, Phys. Rev. B66, 060404 (2002).
8. L. Berger, Phys. Rev. B59, 11465 (1999);
9. L. BergerJ. Appl. Phys.90, 4632 (2001).
10. S Q. Shen, Phys. Lett. A235, 403 (1997).
11. J. Konig, M C. Bonsager, and A H. MacDonald, Phys. Rev. Lett.87, 187202 (2001).
12. C. Zener, Phys. Rev.82, 403 (1951).
13. P W. Anderson and H. Hasegawa, Phys. Rev.100, 675 (1955).
14. K. Kubo and N. Ohata, J. Phys. Soc. Jpn.33, 21 (1972).
15. H. Ohno, Science (Washington, DC, U.S.)281, 951 (1998).
16. T. Dietl, O. Ohno, F. Matskura, J. Cibert, and D. Ferrand, Science (Washington, DC, U.S.)287, 1019 (2000).
17. D J. Scalapino, S R. White, and S. Zhang, Phys. Rev. B47, 7995 (1993).
18. H. Tsunetsugu, M. Sigrist, and K. Ueda, Rev. Mod. Phys.69, 809 (1997).
19. As an illustration we consider a ferromagnetic Heisenberg chain with n spins. The directions of two spins at two terminals can be controled by strong magnetic fields. Assume the angles between the two spins are fixed to be (formula presented) In the classic spin limit the ground state is obtained by minimizing the classical energy and is shown to be an spin spiral state: the angle between two nearest neighbour spins is (formula presented) The quantum case can be solved by the Bethe ansatz and/or in the spin wave theory. Other conditions such as longer-range exchange coupling and spin lattice structures may also give arise a spin spiral state.
20. E. Müller-Hartmann and E. Dagotto, Phys. Rev. B54, R6819 (1996).
21. P. Fulde, Electron Correlations in Molecules and Solids (Springer, New York, 1997).
22. S Q. Shen and Z D. Wang, Phys. Rev. B58, R8877 (1998);
23. Phys. Rev. BS Q. ShenZ D. Wang61, 9532 (2000).
24. The microscopic mechanism should hold in the case of an antiferromagnetic coupling (formula presented) and large S. In the strong limit the conduction electron and local spin form a spin (formula presented) state. The projection operator for the state is (formula presented) instead of (formula presented) The main different point is that the coupling in the third term in Eq. (14) is antiferromagnetic instead of ferromagnetic, and the correspondent coefficients are revised slightly. The ferromagnetism in diluted magnetic semiconductors originates from the antiferromagnetic coupling between the conduction electrons and doped magnetic elements (Ref. 14).
25. N. Furukawa, J. Phys. Soc. Jpn.64, 2734 (1995).
26. A J. Millis, P B. Littlewood, and B I. Shraiman, Phys. Rev. Lett.74, 5144 (1995);
27. Phys. Rev. Lett.H. Röder, J. Zang, and A R. Bishop, 76, 1356 (1996).
28. Apparently the stronger coupling favors to produce the spin current in a spiral state, as shown in Fig. 11.
29. W. Weber, S. Riesen, and H C. Siegmann, Science (Washington, DC, U.S.)291, 1015 (2001).
30. T. Jungwirth, Qian Niu, and A H. MacDonald, Phys. Rev. Lett.88, 207208 (2002).
31. K. Kubo, J. Phys. Soc. Jpn.51, 782 (1982).
32. J. Jensen and A. R. Machintosh, Rare Earth Magnetism (Clarendon Press, Oxford, 1991).
33. M. Korling and J. Ergon, Phys. Rev. B54, 8293 (1996).
34. J. Inoue and S. Maekawa, Phys. Rev. Lett.74, 3407 (1995).