Skip to main content

Chaotic Dynamics in Spin-Wave Instabilities

  • Chapter
Nonlinear Dynamics in Solids

Abstract

Ferromagnetic samples excited by strong microwave fields show a variety of nonlinear phenomena. We report on magnetic resonance experiments in yttrium iron garnet (YIG) probing spin-wave instabilities above the first-order Suhl threshold. A very complex multistable behaviour and various types of auto-oscillations and sequences of bifurcations are observed, ending up in chaos. The experimental behaviour can be interpreted in terms of a multimode-model taking into account both spin waves and magnetostatic modes.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.W. Damon in: Magnetism, Vol. 1, ed. by G.T. Rado and H. Suhl (Academic, New York 1963) pp. 551

    Google Scholar 

  2. R.W. Damon: Rev. Mod. Phys. 25, 239 (1953)

    Article  ADS  Google Scholar 

  3. N. Bloembergen, S. Wang: Phys. Rev. 93, 72 (1954)

    Article  ADS  Google Scholar 

  4. F.R. Morgenthaler: J. Appl. Phys. 31, 95S (1960)

    Article  ADS  Google Scholar 

  5. E.S. Schlömann, J.J. Green, U. Milano: J. Appl. Phys. 31, 386 S (1960)

    Article  ADS  Google Scholar 

  6. H. Suhl: J. Phys. Chem. Solids 1, 209 (1957)

    Article  ADS  Google Scholar 

  7. V.E. Zakharov, V.S. L’vov, S.S. Starobinets: Sov. Phys.-Usp. 17, 896 (1975)

    Article  ADS  Google Scholar 

  8. V.S. L’vov, L. A. Prozorova in: Spin Waves and Magnetic Excitations, Vol. 1, ed. by A.S. Borovik-Romanov and S. K. Sinha (Elsevier, Amsterdam 1988) pp. 233–285

    Google Scholar 

  9. G. Gibson, C. Jeffries: Phys. Rev. A 29, 811 (1984)

    Article  ADS  Google Scholar 

  10. F. Waldner, D. R. Barberis, H. Yamazaki: Phys. Rev. A 31, 420 (1985)

    Article  ADS  Google Scholar 

  11. H. Yamazaki, M. Warden: J. Phys. Soc. Jpn. 55, 4477 (1986)

    Article  ADS  Google Scholar 

  12. F.M. de Aguiar, S.M. Rezende: Phys. Rev. Lett. 56, 1070 (1986)

    Article  ADS  Google Scholar 

  13. F.M. de Aguiar, A. Azevedo, S.M. Rezende: Phys. Rev. B 39, 9448 (1989)

    Article  ADS  Google Scholar 

  14. T.L. Caroll, L.M. Pecora, F.J. Rachford: J. Appl. Phys. 64, 5396 (1988); Phys. Rev. A 42, 377 (1989)

    Article  ADS  Google Scholar 

  15. H. Benner, F. Rödelsperger, H. Seitz, G. Wiese: J. de Physique, Colloque C8, 49, 1603 (1988)

    Google Scholar 

  16. M. Warden, F. Waldner: J. Appl. Phys. 64, 5386 (1988)

    Article  ADS  Google Scholar 

  17. P. E. Wigen, H. Dötsch, M. Ye, L. Baselgia, F. Waldner: J. Appl. Phys. 63, 4157 (1988)

    Article  ADS  Google Scholar 

  18. P.H. Bryant, C.D. Jeffries, K. Nakamura: Phys. Rev. A 38, 4223 (1988)

    Article  ADS  Google Scholar 

  19. H. Yamazaki, M. Mino: Progr. Theor. Phys. Suppl. 98, 400 (1989)

    Article  ADS  Google Scholar 

  20. K. Nakamura, S. Ohta, K. Kawasaki: J. Phys. C 15, L 143 (1982)

    Article  ADS  Google Scholar 

  21. X.Y. Zhang, H. Suhl: Phys. Rev. A 32, 2530 (1985)

    Article  ADS  Google Scholar 

  22. S.M. Rezende, O.F. de Alcantara Bonfim, F.M. de Aguiar: Phys. Rev. B 33, 5153 (1986)

    Article  ADS  Google Scholar 

  23. X.Y. Zhang, H. Suhl: Phys. Rev. B 38, 4893 (1988)

    Article  ADS  Google Scholar 

  24. S. P. Lim, D.L. Huber: Phys. Rev. B 37, 5426 (1988)

    Article  ADS  Google Scholar 

  25. F. Waldner: J. Phys. C 21, 1243 (1988)

    Article  ADS  Google Scholar 

  26. G. Wiese, H. Benner: Z. Phys. B 79, 119 (1990)

    Article  ADS  Google Scholar 

  27. see e.g. R.M. White: Quantum Theory of Magnetism (2. ed.), Springer Ser. Solid-State Sci., Vol.32 (Springer, Berlin, Heidelberg 1983) pp. 184–202

    Google Scholar 

  28. M.T. Weiss: J. Appl. Phys. 30, 146 S (1959)

    Article  ADS  Google Scholar 

  29. Landolt-Börnstein, New Series, Vol. III/4a (Springer, Berlin, Heidelberg 1970) pp. 315

    Google Scholar 

  30. R.M. Hill, R.S. Bergman: J. Appl. Phys. 32, 227S (1961)

    Article  ADS  Google Scholar 

  31. L.R. Walker: J. Appl. Phys. 29, 318 (1958)

    Article  ADS  Google Scholar 

  32. see e.g. H. G. Schuster: Deterministic Chaos (2. rev. ed.) (VCH, Weinheim 1988)

    Google Scholar 

  33. F. Rödelsperger, T. Weyrauch, H. Benner: J. Magn. Magn. Mater. (1992)

    Google Scholar 

  34. P. Bergé, Y. Pomeau, C. Vidal: Order within Chaos (Wiley, New York 1986) pp. 247–258

    MATH  Google Scholar 

  35. H. Packard, J.P. Crutchfield, J.D. Farmer, R.S. Shaw: Phys. Rev. Lett. 45 (1980) 712

    Article  ADS  Google Scholar 

  36. F. Takens in: Lecture Notes in Mathematics, ed. by D. A. Rand and L. S. Young (Springer, Berlin, Heidelberg 1981) Vol. 898, p. 366

    Google Scholar 

  37. P. Grassberger, I. Procaccia: Physica 9D, 189 (1983); Phys. Rev. A 28, 2591 (1983)

    MathSciNet  ADS  Google Scholar 

  38. L.R. Walker: Phys. Rev. 105, 390 (1957)

    Article  ADS  Google Scholar 

  39. E. Schlömann, R.I. Joseph: J. Appl. Phys. 32, 1006 (1961)

    Article  MathSciNet  ADS  Google Scholar 

  40. P.H. Bryant: Phys. Rev. B 39, 4363 (1989)

    Article  ADS  Google Scholar 

  41. V.G. Zhotikov, N.M. Kreines: Sov. Phys. JETP 50, 1202 (1979)

    ADS  Google Scholar 

  42. D. Rugar, H.J. Mamin, R. Erlandson, J.E. Stern, B.D. Terris: IBM Research Report RJ 6272 (1988)

    Google Scholar 

  43. J. Pelzl, B.K. Bein: Phys. Bl. 46, 12 (1990)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Benner, H., Rödelsperger, F., Wiese, G. (1992). Chaotic Dynamics in Spin-Wave Instabilities. In: Thomas, H. (eds) Nonlinear Dynamics in Solids. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95650-8_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-95650-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-95652-2

  • Online ISBN: 978-3-642-95650-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics