Log in

Modulational instability and gap solitons in periodic ferromagnetic films

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

The modulational instability and gap solitons are theoretically studied in the ferromagnetic films under a periodic magnetic field. By multiple scale expansion, the envelope soliton solutions are obtained naturally. Due to the periodic modulation of dispersion, the solitons may be pushed into the gap region. For the easy-axis magnetic film, the red-shift of frequency leads to a modulational instability in the bottom of band and generates a bright gap soliton. For the easy-plane case, the blue-shift leads to an instability in the top of band and a dark gap soliton emerges. The weak dam** produces an attenuation factor and a small oscillation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. Chen, D.L. Mills, Phys. Rev. Lett. 58, 160 (1987)

    Article  ADS  Google Scholar 

  2. D.L. Mills, S.E. Trullinger, Phys. Rev. B 36, 947 (1987)

    Article  ADS  Google Scholar 

  3. M.J. Steel, W. Zhang, e-print ar**v:cond-mat/9810284 http://arxiv.org/abs/cond-mat/9810284

  4. B. Eiermann, Th. Anker, M. Albiez, M. Taglieber, P. Treutlein, K.-P. Marzlin, M.K. Oberthaler, Phys. Rev. Lett. 92, 230401 (2004)

    Article  ADS  Google Scholar 

  5. V.V. Konotop, M. Salerno, Phys. Rev. A 65, 021602 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  6. A.V. Drozdovskii, M.A. Cherkasskii, A.B. Ustinov, N.G. Kovshikov, B.A. Kalinikos, JETP Lett. 91, 16 (2010)

    Article  ADS  Google Scholar 

  7. A.B. Ustinov, N. Yu. Grigor’eva, B.A. Kalinikos, JETP Lett. 88, 31 (2008)

    Article  ADS  Google Scholar 

  8. A.B. Ustinov, B.A. Kalinikos, V.E. Demidov, S.O. Demokritov, Phys. Rev. B 81, 180406 (2010)

    Article  ADS  Google Scholar 

  9. N.N. Chen, A.N. Slavin, M.G. Cottam, IEEE Trans. Magn. 28, 3306 (1992)

    Article  ADS  Google Scholar 

  10. N.N. Chen, A.N. Slavin, M.G. Cottam, Phys. Rev. B 47, 8667 (1993)

    Article  ADS  Google Scholar 

  11. C.G. Sykes, J.D. Adam, J.H. Collins, Appl. Phys. Lett. 29, 388 (1976)

    Article  ADS  Google Scholar 

  12. A.V. Chumak, A.A. Serga, B. Hillebrands, M.P. Kostylev, Appl. Phys. Lett. 93, 022508 (2008)

    Article  ADS  Google Scholar 

  13. A.V. Chumak, A.A. Serga, S. Wolff, B. Hillebrands, M.P. Kostylev, J. Appl. Phys. 105, 083906 (2009)

    Article  ADS  Google Scholar 

  14. A.V. Chumak, A.A. Serga, S. Wolff, B. Hillebrands, M.P. Kostylev, Appl. Phys. Lett. 94, 172511 (2009)

    Article  ADS  Google Scholar 

  15. G. Gubbiotti, S. Tacchi, G. Carlotti, N. Singh, S. Goolaup, A.O. Adeyeye, M. Kostylev, Appl. Phys. Lett. 90, 092503 (2007)

    Article  ADS  Google Scholar 

  16. M.P. Kostylev, P. Schrader, R.L. Stamps, G. Gubbiotti, G. Carlotti, A.O. Adeyeye, S. Goolaup, N. Singh, Appl. Phys. Lett. 92, 132504 (2008)

    Article  ADS  Google Scholar 

  17. Z.K. Wang, V.L. Zhang, H.S. Lim, S.C. Ng, M.H. Kuok, S. Jain, A.O. Adeyeye, Appl. Phys. Lett. 94, 083112 (2009)

    Article  ADS  Google Scholar 

  18. J. Topp, D. Heitmann, M.P. Kostylev, D. Grundler, Phys. Rev. Lett. 104, 207205 (2010)

    Article  ADS  Google Scholar 

  19. J. Ding, M. Kostylev, A.O. Adeyeye, Phys. Rev. Lett. 107, 047205 (2011)

    Article  ADS  Google Scholar 

  20. J. Ding, M. Kostylev, A.O. Adeyeye, Phys. Rev. B 84, 054425 (2011)

    Article  ADS  Google Scholar 

  21. K.S. Lee, D.S. Han, S.K. Kim, Phys. Rev. Lett. 102, 127202 (2009)

    Article  ADS  Google Scholar 

  22. S.K. Kim, K.S. Lee, D.S. Han, Appl. Phys. Lett. 95, 082507 (2009)

    Article  ADS  Google Scholar 

  23. A.V. Chumak, P. Pirro, A.A. Serga, M.P. Kostylev, R.L. Stamps, H. Schultheiss, K. Vogt, S.J. Hermsdoerfer, B. Laegel, P.A. Beck, B. Hillebrands, Appl. Phys. Lett. 95, 262805 (2009)

    Article  Google Scholar 

  24. A.V. Chumak, T. Neumann, A.A. Serga, B. Hillebrands, M.P. Kostylev, J. Phys. D 42 205005 (2009)

    Article  ADS  Google Scholar 

  25. L. Bai, M. Kohda, J. Nitta, Appl. Phys. Lett. 98, 172508 (2011)

    Article  ADS  Google Scholar 

  26. S.R. Seshadri, IEEE Trans. Microwave Theor. Tech. 27, 199 (1979)

    Article  ADS  Google Scholar 

  27. P.A. Kolodin, B. Hillebrands, J. Magn. Magn. Mater. 161, 199 (1996)

    Article  ADS  Google Scholar 

  28. M.P. Kostylev, A.A. Stashkevich, N.A. Sergeeva, Phys. Rev. B 69, 064408 (2004)

    Article  ADS  Google Scholar 

  29. C. Bayer, M.P. Kostylev, B. Hillebrands, Appl. Phys. Lett. 88, 112504 (2006)

    Article  ADS  Google Scholar 

  30. Y.K. Fetisov, N.V. Ostrovskaya, A.F. Popkov, J. Appl. Phys. 79, 5730 (1996)

    Article  ADS  Google Scholar 

  31. S.A. Nikitova, Ph. Tailhadesa, C.S. Tsai, J. Magn. Magn. Mater. 236, 32 (2001)

    Google Scholar 

  32. D.S. Deng, X.F. **, Ruibao Tao, Phys. Rev. B 66, 104435 (2002)

    Article  ADS  Google Scholar 

  33. V.V. Kruglyak, A.N. Kuchko, Physica B 339, 130 (2003)

    Article  ADS  Google Scholar 

  34. V.V. Kruglyak, R.J. Hicken, A.N. Kuchko, V.Yu. Gorobets, J. Appl. Phys. 98, 014304 (2005)

    Article  ADS  Google Scholar 

  35. V.S. Tkachenko, V.V. Kruglyak, A.N. Kuchko, Phys. Rev. B 81, 024425 (2010)

    Article  ADS  Google Scholar 

  36. A.M. Kosevich, B.A. Ivanov, A.S. Kovalev, Phys. Rep. 194, 117 (1990)

    Article  ADS  Google Scholar 

  37. P.B. He, W.M. Liu, Phys. Rev. B 72, 064410 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. B. He.

Rights and permissions

Reprints and permissions

About this article

Cite this article

He, P.B., Gu, G.N. & Pan, A.L. Modulational instability and gap solitons in periodic ferromagnetic films. Eur. Phys. J. B 85, 119 (2012). https://doi.org/10.1140/epjb/e2012-30080-8

Download citation

  • Received:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2012-30080-8

Keywords

Navigation