Spin-wave resonances and surface spin pinning in Ga1-x Mn x As thin films

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 4, 2009, Pages

  Bihler, C ^a   Schoch, W ^b   Limmer, W ^b   Goennenwein, S T B ^c   Brandt, M S ^a  

^a WALTER SCHOTTKY INSTITUT   (Germany)

^b UNIVERSITY OF ULM   (Germany)

^c WALTHER MEISSNER INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 59249101041     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.045205     Document Type: Article

References (45)

1. H. Ohno, Science 281, 951 (1998). 10.1126/science.281.5379.951
2. T. Jungwirth, J. Sinova, J. Mašek, J. Kučera, and A. H. MacDonald, Rev. Mod. Phys. 78, 809 (2006). 10.1103/RevModPhys.78.809
3. C. Bihler, Phys. Rev. B 78, 045203 (2008). 10.1103/PhysRevB.78.045203
4. T. Dietl, H. Ohno, and F. Matsukura, Phys. Rev. B 63, 195205 (2001). 10.1103/PhysRevB.63.195205
5. D. M. Wang, Y. H. Ren, X. Liu, J. K. Furdyna, M. Grimsditch, and R. Merlin, Phys. Rev. B 75, 233308 (2007). 10.1103/PhysRevB.75.233308
6. X. Liu and J. K. Furdyna, J. Phys.: Condens. Matter 18, R245 (2006). 10.1088/0953-8984/18/13/R02
7. C. Kittel, Phys. Rev. 110, 1295 (1958). 10.1103/PhysRev.110.1295
8. O. M. Fedorych, E. M. Hankiewicz, Z. Wilamowski, and J. Sadowski, Phys. Rev. B 66, 045201 (2002). 10.1103/PhysRevB.66.045201
9. S. T. B. Goennenwein, Appl. Phys. Lett. 82, 730 (2003). 10.1063/1.1539550
10. Y. Sasaki, X. Liu, T. Wojtowicz, and J. K. Furdyna, J. Supercond. 16, 143 (2003). 10.1023/A:1023269609334
11. T. G. Rappoport, P. Redlinski, X. Liu, G. Zarand, J. K. Furdyna, and B. Janko, Phys. Rev. B 69, 125213 (2004). 10.1103/PhysRevB.69.125213
12. Y. Y. Zhou, Y.-J. Cho, Z. Ge, X. Liu, M. Dobrowolska, and J. K. Furdyna, IEEE Trans. Magn. 43, 3019 (2007). 10.1109/TMAG.2007.893316
13. X. Liu, Y. Y. Zhou, and J. K. Furdyna, Phys. Rev. B 75, 195220 (2007). 10.1103/PhysRevB.75.195220
14. B. Hoekstra, R. P. van Stapele, and J. M. Robertson, J. Appl. Phys. 48, 382 (1977). 10.1063/1.323339
15. S. T. B. Goennenwein, T. A. Wassner, H. Huebl, M. S. Brandt, J. B. Philipp, M. Opel, R. Gross, A. Koeder, W. Schoch, and A. Waag, Phys. Rev. Lett. 92, 227202 (2004). 10.1103/PhysRevLett.92.227202
16. C. Bihler, M. Kraus, M. S. Brandt, S. T. B. Goennenwein, M. Opel, M. A. Scarpulla, R. Farshchi, D. M. Estrada, and O. Dubon, J. Appl. Phys. 104, 013908 (2008). 10.1063/1.2952045
17. L. Thevenard, L. Largeau, O. Mauguin, A. Lemaître, and B. Theys, Appl. Phys. Lett. 87, 182506 (2005). 10.1063/1.2126147
18. R. Farshchi, O. D. Dubon, D. J. Hwang, N. Misra, C. P. Grigoropoulos, and P. D. Ashby, Appl. Phys. Lett. 92, 012517 (2008). 10.1063/1.2824833
19. K. Khazen, H. J. von Bardeleben, J. L. Cantin, L. Thevenard, L. Largeau, O. Mauguin, and A. Lemaître, Phys. Rev. B 77, 165204 (2008). 10.1103/PhysRevB.77.165204
20. L. Thevenard, L. Largeau, O. Mauguin, A. Lemaître, K. Khazen, and H. J. von Bardeleben, Phys. Rev. B 75, 195218 (2007). 10.1103/PhysRevB.75.195218
21. W. Limmer, M. Glunk, J. Daeubler, T. Hummel, W. Schoch, R. Sauer, C. Bihler, H. Huebl, M. S. Brandt, and S. T. B. Goennenwein, Phys. Rev. B 74, 205205 (2006). 10.1103/PhysRevB.74.205205
22. V. Avrutin, D. Humienik, S. Frank, A. Koeder, W. Schoch, W. Limmer, R. Sauer, and A. Waag, J. Appl. Phys. 98, 023909 (2005). 10.1063/1.1991971
23. L. Landau and E. Lifshitz, Phys. Z. Sowjetunion 8, 153 (1935).
24. T. L. Gilbert, IEEE Trans. Magn. 40, 3443 (2004). 10.1109/TMAG.2004. 836740
25. J. Sinova, T. Jungwirth, X. Liu, Y. Sasaki, J. K. Furdyna, W. A. Atkinson, and A. H. MacDonald, Phys. Rev. B 69, 085209 (2004). 10.1103/PhysRevB.69.085209
26. Note that the signs of the uniaxial parameters K eff 001 and Ku 001 in Eq. 3 are defined opposite to earlier publications (Refs.). According to Eq. 3 the growth direction corresponds to the magnetic easy axis of the uniaxial anisotropy contribution for a positive K eff 001. The accompanied positive H aniso 001 leads to an increase in precession frequency of M about H eff [cf. Eqs. 1 2]. Taking into account microwave irradiation at constant frequency, the resonance condition (precession frequency equals microwave frequency) thus, is fulfilled at a decreased external magnetic field. Analogously, a negative K eff 001 leads to a magnetic hard axis along the growth direction and for H [001] to a shift of the ferromagnetic resonance to higher magnetic fields.
27. A. Shen, H. Ohno, F. Matsukura, Y. Sugawara, N. Akiba, T. Kuroiwa, A. Oiwa, A. Endo, S. Katsumota, and Y. Iye, J. Cryst. Growth 175, 1069 (1997). 10.1016/S0022-0248(96)00967-0
28. X. Liu, Y. Sasaki, and J. K. Furdyna, Phys. Rev. B 67, 205204 (2003). 10.1103/PhysRevB.67.205204
29. J. Daeubler, S. Schwaiger, M. Glunk, M. Tabor, W. Schoch, R. Sauer, and W. Limmer, Physica E 40, 1876 (2008). 10.1016/j.physe.2007.08.049
30. A. M. Portis, Appl. Phys. Lett. 2, 69 (1963). 10.1063/1.1753779
31. B. Hoekstra, Ph.D. thesis, Philips Research Laboratories, 1978.
32. H. Puszkarski, Prog. Surf. Sci. 9, 191 (1979). 10.1016/0079-6816(79) 90013-3
33. A. R. Ferchmin, Phys. Lett. 1, 281 (1962). 10.1016/0031-9163(62)91383-5
34. H. Puszkarski, Solid State Commun. 22, 563 (1977). 10.1016/0038-1098(77) 90136-3
35. G. T. Rado and J. R. Weertman, J. Phys. Chem. Solids 11, 315 (1959). 10.1016/0022-3697(59)90233-1
36. R. Soohoo, Phys. Rev. 131, 594 (1963). 10.1103/PhysRev.131.594
37. E. Schlömann, J. Appl. Phys. 36, 1193 (1965). 10.1063/1.1714165
38. A. Koeder, Appl. Phys. Lett. 82, 3278 (2003). 10.1063/1.1573369
39. W. Limmer, Phys. Rev. B 71, 205213 (2005). 10.1103/PhysRevB.71.205213
40. K. M. Yu, W. Walukiewicz, T. Wojtowicz, I. Kuryliszyn, X. Liu, Y. Sasaki, and J. K. Furdyna, Phys. Rev. B 65, 201303 (R) (2002). 10.1103/PhysRevB.65. 201303
41. K. W. Edmonds, Phys. Rev. Lett. 92, 037201 (2004). 10.1103/PhysRevLett. 92.037201
42. C. P. Herrero, M. Stutzmann, A. Breitschwerdt, and P. V. Santos, Phys. Rev. B 41, 1054 (1990). 10.1103/PhysRevB.41.1054
43. M. Abolfath, T. Jungwirth, J. Brum, and A. H. MacDonald, Phys. Rev. B 63, 054418 (2001). 10.1103/PhysRevB.63.054418
44. C. Bihler, H. Huebl, M. S. Brandt, S. T. B. Goennenwein, M. Reinwald, U. Wurstbauer, M. Döppe, D. Weiss, and W. Wegscheider, Appl. Phys. Lett. 89, 012507 (2006). 10.1063/1.2219408
45. C. Bihler, M. Kraus, H. Huebl, M. S. Brandt, S. T. B. Goennenwein, M. Opel, M. A. Scarpulla, P. R. Stone, R. Farshchi, and O. D. Dubon, Phys. Rev. B 75, 214419 (2007). 10.1103/PhysRevB.75.214419