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Anomalous domain wall velocity and Walker breakdown in hybrid systems with anisotropic exchange

Henrik Enoksen, Asle Sudbø, and Jacob Linder

  • Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

Phys. Rev. B 87, 220401(R) – Published 7 June, 2013

DOI: https://doi.org/10.1103/PhysRevB.87.220401

Abstract

It has recently been proposed that spin-transfer torques in magnetic systems with anisotropic exchange can be strongly enhanced, reducing the characteristic current density with up to four orders of magnitude compared to conventional setups. Motivated by this, we analytically solve the equations of motion in a collective-coordinate framework for this type of anisotropic exchange system, to investigate the domain wall dynamics in detail. In particular, we obtain analytical expressions for the maximum attainable domain wall velocity of such a setup and also for the occurrence of Walker breakdown. Surprisingly, we find that, in contrast to the standard case with domain wall motion driven by the nonadiabatic torque, the maximum velocity obtained via the anisotropic exchange torque is completely independent of the nonadiabaticity parameter β, in spite of the torque itself being very large for small β. Moreover, the Walker breakdown threshold has an opposite dependence on β in these two cases; i.e., for the anisotropic exchange torque scenario, the threshold value decreases monotonically with β. These findings are of importance to any practical application of the proposed giant spin-transfer torque in anisotropic exchange systems.

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References (20)

  1. I. Žutic, J. Fabian, and S. Das Sarma, Rev. Mod. Phys. 76, 323 (2004).
  2. For a recent review on this topic, see, e.g., J. Grollier, A. Chanthbouala, R. Matsumoto, V. Cros, F. Nguyen van Dau, and A. Fert, C. R. Phys. 12, 309 (2011).
  3. A. D. Kent, B. Ozyilmaz, and E. del Barco, Appl. Phys. Lett. 84, 3897 (2004).
  4. S. Matsunaga, J. Hayakawa, S. Ikeda, K. Miura, H. Hasegawa, T. Endoh, H. Ohno, and T. Hanyu, Appl. Phys. Exp. 1, 091301 (2008).
  5. S. S. Parkin, M. Hayashi, and L. Thomas, Science 320, 190 (2008).
  6. H. Liu, D. Bedau, D. Backes, J. A. Katine, J. Langer, and A. D. Kent, Appl. Phys. Lett. 97, 242510 (2010).
  7. M. Hayashi, L. Thomas, C. Rettner, R. Moriya, Y. B. Bazaliy, and S. S. P. Parkin, Phys. Rev. Lett. 98, 037204 (2007).
  8. S. Pizzini, V. Uhlir, J. Vogel, N. Rougemaille, S. Laribi, V. Cros, E. Jiménez, J. Camarero, C. Tieg, E. Bonet, M. Bonfim, R. Mattana, C. Deranlot, F. Petroff, C. Ulysse, G. Faini, and A. Fert, Appl. Phys. Exp. 2, 023003 (2009).
  9. N. L. Schryer and L. R. Walker, J. Appl. Phys. 45, 5406 (1974).
  10. V. L. Korenev, arXiv:1210.4306.
  11. S. Zhang and Z. Li, Phys. Rev. Lett. 93, 127204 (2004).
  12. I. Garate, K. Gilmore, M. D. Stiles, and A. H. MacDonald, Phys. Rev. B 79, 104416 (2009).
  13. H. Kohno, G. Tatara, and J. Shibata, J. Phys. Soc. Jpn. 75, 113706 (2006).
  14. K.-W. Kim, S.-M. Seo, J. Ryu, K.-J. Lee, and H.-W. Lee, Phys. Rev. B 85, 180404(R) (2012); J. Ryu, S.-M. Seo, K.-J. Lee, and H.-W. Lee, J. Magn. Mater. 324, 1449 (2012).
  15. J. Linder, Phys. Rev. B 87, 054434 (2013).
  16. A. V. Khvalkovskiy, V. Cros, D. Apalkov, V. Nikitin, M. Krounbi, K. A. Zvezdin, A. Anane, J. Grollier, and A. Fert, Phys. Rev. B 87, 020402(R) (2013).
  17. I. A. Merkulov and K. V. Kavokin, Phys. Rev. B 52, 1751 (1995).
  18. Y. Tserkovnyak, H. J. Skadsem, A. Brataas, and G. E. W. Bauer, Phys. Rev. B 74, 144405 (2006).
  19. A. Thiaville, Y. Nakatani, J. Miltat, and Y. Suzuki, Europhys. Lett. 69, 990 (2005).
  20. G. Tatara, H. Kohno, and J. Shibata, Phys. Rep. 468, 213 (2008).

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