Domain-wall dynamics driven by short pulses along thin ferromagnetic strips: Micromagnetic simulations and analytical description

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 9, 2009, Pages

  Martinez, Eduardo ^a   Lopez Diaz, Luis ^b   Alejos, Oscar ^c   Torres, Luis ^b   Carpentieri, Mario ^d  

^a UNIVERSITY OF BURGOS   (Spain)

^b UNIVERSITY OF SALAMANCA   (Spain)

^c UNIVERSITY OF VALLADOLID   (Spain)

^d UNIVERSITY OF CALABRIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 65249126759     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.094430     Document Type: Article

References (70)

1. S. S. P. Parkin, U.S. Patent No. 6834005 (16 December 2004).
2. J. A. Drewes, U.S. Patent No. 7034374 (25 April 2006).
3. S. H. Chung and A. F. Hoffmann, U.S. Patent No. 7042036 (9 May 2006).
4. S. E. Barnes, J. Ieda, and S. Maekawa, Appl. Phys. Lett. 89, 122507 (2006). 10.1063/1.2354036
5. C. Chappert, A. Fert, and F. Nguyen Van Dau, Nature Mater. 6, 813 (2007). 10.1038/nmat2024
6. D. Atkinson, D. S. Eastwood, and L. K. Bogart, Appl. Phys. Lett. 92, 022510 (2008). 10.1063/1.2832771
7. D. Allwood, G. Xiong, M. D. Cooke, C. C. Faulkner, D. Atkinson, N. Vernier, and R. P. Cowburn, Science 296, 2003 (2002) 10.1126/science.1070595
8. D. A. Allwood, G. Xiong, C. C. Faulkner, D. Atkinson, D. Petit, and R. P. Cowburn, Science 309, 1688 (2005). 10.1126/science.1108813
9. P. Xu, K. Xia, C. Gu, L. Tang, H. Yang, and J. Li, Nat. Nanotechnol. 3, 97 (2008). 10.1038/nnano.2008.1
10. N. L. Schryer and L. R. Walker, J. Appl. Phys. 45, 5406 (1974). 10.1063/1.1663252
11. R. D. McMichael and M. J. Donahue, IEEE Trans. Magn. 33, 4167 (1997). 10.1109/20.619698
12. A. Thiaville, J. M. Garcia, and J. Miltat, J. Magn. Magn. Mater. 242-245, 1061 (2002). 10.1016/S0304-8853(01)01353-1
13. Y. Nakatani, A. Thiaville, and J. Miltat, Nature Mater. 2, 521 (2003). 10.1038/nmat931
14. D. Atkinson, D. A. Allwood, G. Xiong, M. D. Cooke, and R. P. Cowburn, Nature Mater. 2, 85 (2003). 10.1038/nmat803
15. D. G. Porter and M. J. Donahue, J. Appl. Phys. 95, 6729 (2004). 10.1063/1.1688673
16. G. S. D. Beach, C. Nistor, C. Knutson, M. Tsoi, and J. L. Erskine, Nature Mater. 4, 741 (2005). 10.1038/nmat1477
17. E. Martinez, L. Lopez-Diaz, L. Torres, C. Tristan, and O. Alejos, Phys. Rev. B 75, 174409 (2007). 10.1103/PhysRevB.75.174409
18. L. Berger, Phys. Lett. 46A, 3 (1973). 10.1016/0375-9601(73)90658-0
19. L. Berger, J. Appl. Phys. 49, 2156 (1978). 10.1063/1.324716
20. L. Berger, J. Appl. Phys. 55, 1954 (1984). 10.1063/1.333530
21. J. Slonczewski, J. Magn. Magn. Mater. 159, L1 (1996). 10.1016/0304-8853(96)00062-5
22. J. Slonczewski, J. Magn. Magn. Mater. 195, 261 (1999). 10.1016/S0304-8853(99)00043-8
23. Ya. B. Bazaliy, B. A. Jones, and Shou-Cheng Zhang, Phys. Rev. B 57, R3213 (1998). 10.1103/PhysRevB.57.R3213
24. G. Tatara and H. Kohno, Phys. Rev. Lett. 92, 086601 (2004). 10.1103/PhysRevLett.92.086601
25. Z. Li and S. Zhang, Phys. Rev. B 70, 024417 (2004). 10.1103/PhysRevB.70. 024417
26. S. Zhang and Z. Li, Phys. Rev. Lett. 93, 127204 (2004). 10.1103/PhysRevLett.93.127204
27. A. Thiaville, Y. Nakatani, J. Miltat, and N. Vernier, J. Appl. Phys. 95, 7049 (2004). 10.1063/1.1667804
28. A. Thiaville, Y. Nakatani, J. Miltat, and S. Suzuki, Europhys. Lett. 69, 990 (2005). 10.1209/epl/i2004-10452-6
29. S. E. Barnes and S. Maekawa, Phys. Rev. Lett. 95, 107204 (2005). 10.1103/PhysRevLett.95.107204
30. Z. Li, J. He, and S. Zhang, J. Appl. Phys. 99, 08Q702 (2006). 10.1063/1.2166590
31. J. He, Z. Li, and S. Zhang, J. Appl. Phys. 99, 08G509 (2006). 10.1063/1.2165921
32. Y. Tserkovnyak, H. J. Skadsem, A. Brataas, and G. E. W. Bauer, Phys. Rev. B 74, 144405 (2006). 10.1103/PhysRevB.74.144405
33. G. Tatara, T. Takayama, H. Kohno, J. Shibata, Y. Nakatani, and H. Fukuyama, J. Phys. Soc. Jpn. 75, 064708 (2006). 10.1143/JPSJ.75.064708
34. R. A. Duine, A. S. Nunez, and A. H. MacDonald, Phys. Rev. Lett. 98, 056605 (2007). 10.1103/PhysRevLett.98.056605
35. J. Grollier, P. Boulenc, V. Cros, A. Hamzic, A. Vaures, and A. Fert, Appl. Phys. Lett. 83, 509 (2003). 10.1063/1.1594841
36. M. Klaui, P. O. Jubert, R. Allenspach, A. Bischof, J. A. C. Bland, G. Faini, U. Rudiger, C. A. F. Vaz, L. Vila, and C. Vouille, Phys. Rev. Lett. 95, 026601 (2005). 10.1103/PhysRevLett.95.026601
37. M. Laufenberg, W. Buhrer, D. Bedau, P. E. Melchy, M. Klaui, L. Vila, G. Faini, C. A. F. Vaz, J. A. C. Bland, and U. Rudiger, Phys. Rev. Lett. 97, 046602 (2006). 10.1103/PhysRevLett.97.046602
38. M. Hayashi, L. Thomas, Ya. B. Bazaliy, C. Rettner, R. Moriya, X. Jiang, and S. S. P. Parkin, Phys. Rev. Lett. 96, 197207 (2006). 10.1103/PhysRevLett.96. 197207
39. G. S. D. Beach, C. Knutson, C. Nistor, M. Tsoi, and J. L. Erskine, Phys. Rev. Lett. 97, 057203 (2006). 10.1103/PhysRevLett.97.057203
40. G. Meier, M. Bolte, R. Eiselt, B. Kruger, Dong-Hyun Kim, and P. Fischer, Phys. Rev. Lett. 98, 187202 (2007). 10.1103/PhysRevLett.98.187202
41. S. Laribi, V. Cros, V. Munoz, J. Grollier, A. Hamzic, G. Deranlot, A. Fert, E. Martinez, L. Lopez-Diaz, L. Villa, G. Faini, S. Zoll, and R. Fournel, Appl. Phys. Lett. 90, 232505 (2007). 10.1063/1.2746952
42. L. Heyne, M. Klaui, D. Backes, P. Monhrke, T. A. Moore, J. G. Kimling, O. Boulle, and U. Rudinger, J. Appl. Phys. 103, 07D928 (2008). 10.1063/1.2836326
43. F. Junginger, M. Kläui, D. Backes, U. Rüdiger, T. Kasama, R. E. Dunin-Borkowskid, L. J. Heyderman, C. A. F. Vaz, and J. A. C. Bland, Appl. Phys. Lett. 90, 132506 (2007). 10.1063/1.2709989
44. G. S. D. Beach, M. Tsoi, and J. L. Erskine, J. Magn. Magn. Mater. 320, 1272 (2008). 10.1016/j.jmmm.2007.12.021
45. Y. Tserkovnyak, A. Brataas, and G. E. W. Bauer, J. Magn. Magn. Mater. 320, 1282 (2008). 10.1016/j.jmmm.2007.12.012
46. M. Klaui, C. A. F. Vaz, J. Rothman, J. A. C. Bland, W. Wernsdorfer, G. Faini, and E. Cambril, Phys. Rev. Lett. 90, 097202 (2003). 10.1103/PhysRevLett. 90.097202
47. C. C. Faulkner, M. D. Cooke, D. A. Allwood, D. Petit, D. Atkinson, and R. P. Cowburn, J. Appl. Phys. 95, 6717 (2004). 10.1063/1.1652391
48. J. Grollier, D. Lacour, V. Cros, A. Hamzic, A. Vaures, A. Fert, D. Adam, and G. Faini, J. Appl. Phys. 92, 4825 (2002). 10.1063/1.1507820
49. M. Tsoi, R. E. Fontana, and S. S. P. Parkin, Appl. Phys. Lett. 83, 2617 (2003). 10.1063/1.1578165
50. M. Klaui, C. A. F. Vaz, J. A. C. Bland, W. Wernsdorfer, G. Faini, E. Cambril, L. J. Heyderman, F. Nolting, and U. Rudiger, Phys. Rev. Lett. 94, 106601 (2005). 10.1103/PhysRevLett.94.106601
51. D. Ravelosona, D. Lacour, J. A. Katine, B. D. Terris, and C. Chappert, Phys. Rev. Lett. 95, 117203 (2005). 10.1103/PhysRevLett.95.117203
52. M. Hayashi, L. Thomas, C. Rettner, R. Moriya, X. Jiang, and S. S. P. Parkin, Phys. Rev. Lett. 97, 207205 (2006). 10.1103/PhysRevLett.97.207205
53. L. Thomas, M. Hayashi, X. Jiang, R. Moriya, C. Rettner, and S. S. P. Parkin, Nature (London) 443, 197 (2006). 10.1038/nature05093
54. P. Dagras, M. Klaui, M. Laufenberg, D. Bedau, L. Vila, G. Faini, C. A. F. Vaz, J. A. C. Bland, and U. Rudinger, J. Phys. D 40, 1247 (2007). 10.1088/0022-3727/40/5/S07
55. E. Martinez, L. Lopez-Diaz, O. Alejos, L. Torres, and C. Tristan, Phys. Rev. Lett. 98, 267202 (2007). 10.1103/PhysRevLett.98.267202
56. L. Thomas, M. Hayashi, X. Jiang, R. Moriya, C. Rettner, and S. S. P. Parkin, Science 315, 1553 (2007). 10.1126/science.1137662
57. T. Nozaki, H. Maekawa, M. Mizuguchi, M. Shiraishi, T. Shinjo, Y. Suzuki, H. Maehara, S. Kasai, and T. Ono, Appl. Phys. Lett. 91, 082502 (2007). 10.1063/1.2772174
58. D. Bedau, M. Klaui, S. Krzyk, U. Rudiger, G. Faini, and L. Vila, Phys. Rev. Lett. 99, 146601 (2007). 10.1103/PhysRevLett.99.146601
59. E. Saitoh, H. Miyajima, T. Yamaoka, and G. Tatara, Nature (London) 432, 203 (2004). 10.1038/nature03009
60. G. Tatara, E. Saitoh, M. Ichimura, and H. Kohno, Appl. Phys. Lett. 86, 232504 (2005). 10.1063/1.1944902
61. Peng-Bin He, X. C. Xie, and W. M. Liu, Phys. Rev. B 72, 172411 (2005). 10.1103/PhysRevB.72.172411
62. E. Martinez, L. Lopez-Diaz, O. Alejos, and L. Torres, Phys. Rev. B 77, 144417 (2008). 10.1103/PhysRevB.77.144417
63. W. F. Brown, Phys. Rev. 130, 1677 (1963). 10.1103/PhysRev.130.1677
64. J. L. Garcia-Palacios and F. J. Lazaro, Phys. Rev. B 58, 14937 (1998). 10.1103/PhysRevB.58.14937
65. A. Thiaville and Y. Nakatani, Spin Dynamics in Confined Magnetic Structures III (Springer, Berlin, 2006), pp. 161-206.
66. M. Hayashi, L. Thomas, C. Rettner, R. Moriya, and S. S. P. Parkin, Nat. Phys. 3, 21 (2007). 10.1038/nphys464
67. M. Hayashi, L. Thomas, C. Rettner, R. Moriya, and S. S. P. Parkin, Appl. Phys. Lett. 92, 162503 (2008). 10.1063/1.2903096
68. A. Thiaville, Y. Nakatani, F. Piechon, J. Miltat, and T. Ono, Eur. Phys. J. B 60, 15 (2007). 10.1140/epjb/e2007-00320-3
69. A. Aharoni, J. Appl. Phys. 83, 3432 (1998). 10.1063/1.367113
70. As proposed by Tatara and Kohno (Ref.), there are other possible contributions to the current-driving force, which is proportional to the DW resistance RDW, Fj =en RDW I Ly Lz, where n a-3 is the electron density (a is the lattice constant), and I= ja Ly Lz is the current. It easy to verify that, if both contributions are taken into account, the current-driving force can be expressed as Fj =-2 μ0 Ms Ly Lz cJ′ / (γ0 Δ), where cJ′ μB (ξP+ R) / (e Ms) and R =Δ e2 n RDW Ly Lz is the dimensionless DW resistivity. This additional term (proportional to R) will be omitted unless the contrary is said.