Advertisement

Magnonics pp 3-15 | Cite as

Spin-Wave Eigen-modes in a Normally Magnetized Nano-pillar

  • V. V. Naletov
  • G. de Loubens
  • S. Borlenghi
  • O. Klein
Chapter
Part of the Topics in Applied Physics book series (TAP, volume 125)

Abstract

We report on a spectroscopic study of the spin-wave eigen-modes in a circular spin-valve nano-pillar, perpendicularly magnetized along \({\hat{\boldsymbol{z}}}\). Spectroscopy is performed by Magnetic Resonance Force Microscopy (MRFM). Distinct spectra are measured depending on whether the nano-pillar is excited by a uniform in-plane radio-frequency (RF) magnetic field or by an RF current flowing perpendicularly through the layers. These results are in agreement with micromagnetic simulations of the time decay response of the local magnetization to excitations with different azimuthal symmetries, \(({\hat{\boldsymbol{x}}} + i {\hat{\boldsymbol {y}}})e^{-i\ell\phi}\). This demonstrates that the azimuthal -index is the discriminating parameter for the selection rules, as only =0 modes are excited by the RF magnetic field, whereas only =+1 modes are excited by the RF current, owing to the orthoradial symmetry of the induced RF Oersted field.

Keywords

Dipolar Coupling Magnetic Layer Magnetization Dynamic Spin Transfer Uniform Mode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

We thank V. Cros, J. Grollier, H. Hurdequint, C. Ulysse, G. Faini, V.S. Tiberkevich, and A.N. Slavin for their help and support. This research was partially supported by the European Grant Master (NMP-FP7 212257) and by the French Grant Voice (ANR-09-NANO-006-01).

References

  1. 1.
    S. Wolf, D.D. Awschalom, R.A. Buhrman, J. Daughton, S. von Molnar, M.L. Roukes, A.Y. Chtchelkanova, D.M. Treger, Science 294, 1488 (2001) CrossRefGoogle Scholar
  2. 2.
    M.N. Baibich, J.M. Broto, A. Fert, F.N.V. Dau, F. Petroff, P. Etienne, G. Creuzet, A. Friederich, J. Chazelas, Phys. Rev. Lett. 61(21), 2472 (1988) CrossRefGoogle Scholar
  3. 3.
    G. Binasch, P. Grunberg, F. Saurenbach, W. Zinn, Phys. Rev. B 39(7), 4828 (1989) CrossRefGoogle Scholar
  4. 4.
    J. Slonczewski, J. Magn. Magn. Mater. 159, L1 (1996). doi: 10.1016/0304-8853(96)00062-5 CrossRefGoogle Scholar
  5. 5.
    L. Berger, Phys. Rev. B 54(13), 9353 (1996) CrossRefGoogle Scholar
  6. 6.
    V.E. Demidov, S.O. Demokritov, B. Hillebrands, M. Laufenberg, P.P. Freitas, Appl. Phys. Lett. 85(14), 2866 (2004). doi: 10.1063/1.1803621 CrossRefGoogle Scholar
  7. 7.
    G. Woltersdorf, O. Mosendz, B. Heinrich, C.H. Back, Phys. Rev. Lett. 99(24), 246603 (2007). doi: 10.1103/PhysRevLett.99.246603 CrossRefGoogle Scholar
  8. 8.
    G. de Loubens, V.V. Naletov, O. Klein, J. Ben Youssef, F. Boust, N. Vukadinovic, Phys. Rev. Lett. 98(12), 127601 (2007) CrossRefGoogle Scholar
  9. 9.
    G. de Loubens, V.V. Naletov, M. Viret, O. Klein, H. Hurdequint, J. Ben Youssef, F. Boust, N. Vukadinovic, J. Appl. Phys. 101, 09F514 (2007) Google Scholar
  10. 10.
    G. Gubbiotti, M. Madami, S. Tacchi, G. Carlotti, H. Tanigawa, T. Ono, J. Phys. D, Appl. Phys. 41(13), 134023 (2008). doi: 10.1088/0022-3727/41/13/134023 CrossRefGoogle Scholar
  11. 11.
    P.S. Keatley, V.V. Kruglyak, A. Neudert, E.A. Galaktionov, R.J. Hicken, J.R. Childress, J.A. Katine, Phys. Rev. B 78(21), 214412 (2008). doi: 10.1103/PhysRevB.78.214412 CrossRefGoogle Scholar
  12. 12.
    A. Slavin, V. Tiberkevich, IEEE Trans. Magn. 45(4), 1875 (2009). doi: 10.1109/TMAG.2008.2009935 CrossRefGoogle Scholar
  13. 13.
    A.V. Nazarov, H.S. Cho, J. Nowak, S. Stokes, N. Tabat, Appl. Phys. Lett. 81(24), 4559 (2002). doi: 10.1063/1.1521578 CrossRefGoogle Scholar
  14. 14.
    N. Stutzke, S.L. Burkett, S.E. Russek, Appl. Phys. Lett. 82, 91 (2003). doi: 10.1063/1.1534386 CrossRefGoogle Scholar
  15. 15.
    J.C. Sankey, P.M. Braganca, A.G.F. Garcia, I.N. Krivorotov, R.A. Buhrman, D.C. Ralph, Phys. Rev. Lett. 96(22), 227601 (2006) CrossRefGoogle Scholar
  16. 16.
    W. Chen, J.M.L. Beaujour, G. de Loubens, A.D. Kent, J.Z. Sun, Appl. Phys. Lett. 92(1), 012507 (2008). doi: 10.1063/1.2827570 CrossRefGoogle Scholar
  17. 17.
    V.V. Naletov, G. de Loubens, G. Albuquerque, S. Borlenghi, V. Cros, G. Faini, J. Grollier, H. Hurdequint, N. Locatelli, B. Pigeau, A.N. Slavin, V.S. Tiberkevich, C. Ulysse, T. Valet, O. Klein, Phys. Rev. B 84, 224423 (2011). doi: 10.1103/PhysRevB.84.224423 CrossRefGoogle Scholar
  18. 18.
    Z. Zhang, P.C. Hammel, P.E. Wigen, Appl. Phys. Lett. 68, 2005 (1996) CrossRefGoogle Scholar
  19. 19.
    V. Charbois, V.V. Naletov, J. Ben Youssef, O. Klein, J. Appl. Phys. 91, 7337 (2002) CrossRefGoogle Scholar
  20. 20.
    O. Klein, G. de Loubens, V.V. Naletov, F. Boust, T. Guillet, H. Hurdequint, A. Leksikov, A.N. Slavin, V.S. Tiberkevich, N. Vukadinovic, Phys. Rev. B 78(14), 144410 (2008). doi: 10.1103/PhysRevB.78.144410 CrossRefGoogle Scholar
  21. 21.
    G. de Loubens, V.V. Naletov, O. Klein, Phys. Rev. B 71(18), 180411 (2005) CrossRefGoogle Scholar
  22. 22.
    V.V. Naletov, G. de Loubens, V. Charbois, O. Klein, V.S. Tiberkevich, A.N. Slavin, Phys. Rev. B 75(14), 140405 (2007) CrossRefGoogle Scholar
  23. 23.
    G. de Loubens, A. Riegler, B. Pigeau, F. Lochner, F. Boust, K.Y. Guslienko, H. Hurdequint, L.W. Molenkamp, G. Schmidt, A.N. Slavin, V.S. Tiberkevich, N. Vukadinovic, O. Klein, Phys. Rev. Lett. 102(17), 177602 (2009). doi: 10.1103/PhysRevLett.102.177602 CrossRefGoogle Scholar
  24. 24.
    R.E. Arias, D.L. Mills, Phys. Rev. B 79, 144404 (2009) CrossRefGoogle Scholar
  25. 25.
    A.G. Gurevich, G.A. Melkov, Magnetization Oscillations and Waves (CRC Press, Boca Raton, 1996) Google Scholar
  26. 26.
    K.Y. Guslienko, S.O. Demokritov, B. Hillebrands, A.N. Slavin, Phys. Rev. B 66, 132402 (2002) CrossRefGoogle Scholar
  27. 27.
    J.F. Dillon, J. Appl. Phys. 31(9), 1605 (1960) CrossRefGoogle Scholar
  28. 28.
    R.W. Damon, J.R. Eshbach, J. Phys. Chem. Solids 19, 308 (1961) CrossRefGoogle Scholar
  29. 29.
    M. Belmeguenai, T. Martin, G. Woltersdorf, M. Maier, G. Bayreuther, Phys. Rev. B 76(10), 104414 (2007). doi: 10.1103/PhysRevB.76.104414 CrossRefGoogle Scholar
  30. 30.
    G. Gubbiotti, M. Kostylev, N. Sergeeva, M. Conti, G. Carlotti, T. Ono, A.N. Slavin, A. Stashkevich, Phys. Rev. B 70(22), 224422 (2004). doi: 10.1103/PhysRevB.70.224422 CrossRefGoogle Scholar
  31. 31.
    J. Ben Youssef, A. Layadi, J. Appl. Phys. 108(5), 053913 (2010). doi: 10.1063/1.3476269 CrossRefGoogle Scholar
  32. 32.
    B. Kardasz, O. Mosendz, B. Heinrich, Z. Liu, M. Freeman, J. Appl. Phys. 103(7), 07C509 (2008). doi: 10.1063/1.2834399 CrossRefGoogle Scholar
  33. 33.
    O. Dmytriiev, T. Meitzler, E. Bankowski, A. Slavin, V. Tiberkevich, J. Phys. Condens. Matter 22, 136001 (2010) CrossRefGoogle Scholar
  34. 34.
    T. Fischbacher, M. Franchin, G. Bordignon, H. Fangohr, IEEE Trans. Magn. 43(6), 2896 (2007) CrossRefGoogle Scholar
  35. 35.
    R.D. McMichael, M.D. Stiles, J. Appl. Phys. 97(10), 10J901 (2005) CrossRefGoogle Scholar
  36. 36.
    M.P. Kostylev, A.A. Stashkevich, N.A. Sergeeva, Y. Roussigné, J. Magn. Magn. Mater. 278, 397 (2004). doi: 10.1016/j.jmmm.2003.11.400 CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • V. V. Naletov
    • 1
    • 2
  • G. de Loubens
    • 1
  • S. Borlenghi
    • 1
  • O. Klein
    • 1
  1. 1.Service de Physique de l’État Condensé (URA 2464)CEA SaclayGif-sur-YvetteFrance
  2. 2.Physics DepartmentKazan Federal UniversityKazanRussian Federation

Personalised recommendations