Ultrafast spin dynamics of magnetic metals in a nonequilibrium state

Revista Mexicana de Fisica

Volumn 44, Issue 6, 1998, Pages 533-539

  Bennemann, K H ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Hot electrons; Spin dynamics

Indexed keywords

EID: 0032276098     PISSN: 0035001X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (32)

1. I. Hertel, E. Knoesel, M. Wolf, and G. Ertl, Phys. Rev. Lett. 76 (1996) 535;
2. M. Aeschlimann, M. Bauer, and S. Pawlik, Chem. Phys. 205 (1996) 127.
3. F. Passek, M. Donath, K. Ertl, and V. Dose, Phys. Rev. Lett. 75 (1995) 2746;
4. M. Aeschlimann et al., to be published (1997);
5. F. Meier et al., J.M.M.M. 93 (1991) 523.
6. W.S. Fann, R. Storz, H.W.K. Tom, and J. Bokor, Phys. Rev. B 46 (1992) 13592.
7. P.G. Allen, Phys. Rev. Lett. 59 (1987) 1460.
8. E. Beaurepaire, J.-C. Merle, A. Daunois, and J.-Y. Bigot, Phys. Rev. Lett. 76 (1996) 4250.
9. J. Hohlfeld, E. Matthias, R. Knorren, and K.H. Bennemann, Phys. Rev. Lett. 78 (1997) 4861.
10. J. Hubbard, Phys. Rev. B 20 (1979) 4584.
11. J.L. Morán-López, K.H. Bennemann, and M. Avignon, Phys. Rev. B 23 (1981) 5978.
12. F.
13. σ(t) for thermalizing electrons.
14. max(t) will be generally determined by the interplay of the electron-electron and the electron-lattice interaction. Note, for itinerant transition metals it is not strictly valid to separate the conduction electrons from those constituting the magnetic moments.
15. e1) is generally not equal to the equilibrium state specific heat.
16. The function f(ε, t) may be determined by using the Boltzmann equation ∂δf/∂t ≃ 1/τδf, see Ref. 3, or by using the Liouville equation for the density ρ(t) and iℏρ̇ = 〈[H, ρ]〉.
17. Here, we do not consider situations where the exchange interaction increases due to excitations as may be the case for some magnetic semiconductors.
18. so ≈ 70 meV for Fe, for example.
19. -, for example, and thus a decrease of M due to directional disorder as well as due to a decrease in the magnitude of the magnetic moments.
20. P. Jensen and K.H. Bennemann, Solid State Commun. 100 (1996) 585.
21. W. Hübner and K.H. Bennemann, Phys. Rev. B 53 (1996) 1.
22. H.J. Siegmann et al., private communication;
23. See also D.R. Penn, S.P. Apell, and S.M. Girvin, Phys. Rev. D 32 (1985) 7553;
24. M. Aeschlimann et al., Phys. Rev. Lett. 79 (1997) 5158.
25. - ∝ M.
26. ijl(M + (Combining right arrow above sign)).
27. e(T) and a is expected to be weaker. Note, the SH intensity I involves Fresnel coefficients which are temperature dependent, see T. Luce, W. Hühner, and K.H. Bennemann, Z. Phys. B 102 (1997) 223.
28. W. Hübner and K.H. Bennemann, Phys. Rev. B 40 (1989) 5973.
29. 1att.
30. J. Hohlfeld, J. Güdde, and E. Matthias, private communication, 1997.
31. -1.
32. M. Shimizu, Physica 91B (1977) 14.