Limits on the curie temperature of (III,Mn)V ferromagnetic semiconductors

Applied Physics Letters

Volumn 78, Issue 11, 2001, Pages 1550-1552

  Schliemann, John ^a,b   König, Jürgen ^a,b   Hsiu Hau, Lin ^c   MacDonald, Allan H ^a,b  

^a INDIANA UNIVERSITY   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^c NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035848087     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1355300     Document Type: Article

References (18)

1. For reviews see H. Ohno, J. Magn. Magn. Mater. 200, 110 (1999); H. Ohno, Science 281, 951 (1998); for a more general introduction to the emerging field of spintronics see G. A. Prinz, ibid. 282, 1660 (1998).
2. For reviews see H. Ohno, J. Magn. Magn. Mater. 200, 110 (1999); H. Ohno, Science 281, 951 (1998); for a more general introduction to the emerging field of spintronics see G. A. Prinz, ibid. 282, 1660 (1998).
3. For reviews see H. Ohno, J. Magn. Magn. Mater. 200, 110 (1999); H. Ohno, Science 281, 951 (1998); for a more general introduction to the emerging field of spintronics see G. A. Prinz, ibid. 282, 1660 (1998).
4. T. Dietl, A. Haury, and Y. M. d'Aubigné, Phys. Rev. B 55, R3347 (1997); T. Dietl et al., Science 287, 1019 (2000); T. Dietl, H. Ohno, and F. Matsukura, cond-mat/0007190.
5. T. Dietl, A. Haury, and Y. M. d'Aubigné, Phys. Rev. B 55, R3347 (1997); T. Dietl et al., Science 287, 1019 (2000); T. Dietl, H. Ohno, and F. Matsukura, cond-mat/0007190.
6. T. Dietl, A. Haury, and Y. M. d'Aubigné, Phys. Rev. B 55, R3347 (1997); T. Dietl et al., Science 287, 1019 (2000); T. Dietl, H. Ohno, and F. Matsukura, cond-mat/0007190.
7. T. Jungwirth, W. A. Atkinson, B. H. Lee, and A. H. MacDonald, Phys. Rev. B 59, 9818 (1999); B. H. Lee, T. Jungwirth, A. H. MacDonald, ibid. 61, 15606 (2000); M. Abolfath, T. Jungwirth, J. Brum, and A. H. MacDonald, ibid. 63, 054418 (2001).
8. T. Jungwirth, W. A. Atkinson, B. H. Lee, and A. H. MacDonald, Phys. Rev. B 59, 9818 (1999); B. H. Lee, T. Jungwirth, A. H. MacDonald, ibid. 61, 15606 (2000); M. Abolfath, T. Jungwirth, J. Brum, and A. H. MacDonald, ibid. 63, 054418 (2001).
9. T. Jungwirth, W. A. Atkinson, B. H. Lee, and A. H. MacDonald, Phys. Rev. B 59, 9818 (1999); B. H. Lee, T. Jungwirth, A. H. MacDonald, ibid. 61, 15606 (2000); M. Abolfath, T. Jungwirth, J. Brum, and A. H. MacDonald, ibid. 63, 054418 (2001).
10. For these qualitative considerations we replace the discrete Mn spins by a continuous distribution. This is a good approximation when the Mn density is much larger than the free-carrier density.
11. Because of spin-orbit coupling in the valence band the magnetic anisotropy energy is nonzero in (III,Mn)V ferromagnets and there is a resulting gap in the spin-wave excitation spectrum. [J. König, T. Jungwirth, and A. H. MacDonald, Phys. Rev. B (submitted)]. However, this gap is quite small and does not change the essence of the present discussion.
12. J. König, H. H. Lin, and A. H. MacDonald, Phys. Rev. Lett. 84, 5628 (2000); cond-mat/0010471, to appear in Interacting Electrons in Nanostructures, edited by R. Haug and H. Schoeller (unpublished).
13. At finite temperature interactions between spin waves will reduce the spin stiffness. To model this effect a self-consistent spin-wave scheme would be required. Here, however, we use the zero-temperature spin stiffness for an upper bound.
14. J. Schliemann, J. König, and A. H. MacDonald, cond-mat/0012233.
15. O. Gunnarsson, J. Phys. F: Met. Phys. 6, 587 (1976).
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17. A. K. Bhattacharjee and C. Benoit à la Guillaume, Solid State Commun. 113, 17 (2000). In the present Monte Carlo simulations we use = 0.1 nm.
18. X. Wan and R. N. Bhatt, cond-mat/0009161.