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Magnon Interaction in the Itinerant Electron Model of Ferromagnetism

  • J. Morkowski

Abstract

In the present lecture I shall present an elementary procedure which can be used to study various aspects of magnon-magnon interaction and also magnon-phonon interaction. No magnonelectron interaction will be considered. The procedure can be applied to calculate magnon relaxation times, to calculate the correction to the spontaneous magnetization due to magnon interaction and, finally, we shall demonstrate how magnon interaction leads to formation of a two-magnon bound state.

Keywords

Wannier Function Itinerant Electron Heisenberg Ferromagnet Inverse Relaxation Time Ferromagnetic Ground State 
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.

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References

  1. 1.
    Hubbard, J. (1963). Proa. Roy. Soc., A277, 237; (1964). P Proc. Roy Soa., A281, 407.ADSGoogle Scholar
  2. 2.
    Schweitzer, J.W. (1975). See this volume, p. 91.Google Scholar
  3. 3.
    See, e. g.: Nagaoka, Y. (1966). Phys. Rev., 147, 392.ADSCrossRefGoogle Scholar
  4. 4.
    Izuyama, T. (1960). Prog. Theor. Phys., 23, 969.MathSciNetADSMATHCrossRefGoogle Scholar
  5. 5.
    Morkowski, J. (1973). Acta Phys. Polon., A43, 809.Google Scholar
  6. 6.
    Kanamori, J. (1963). Prog. Theor. Phys., 30, 275.ADSMATHCrossRefGoogle Scholar
  7. 7.
    Edwards, D.M. (1967). Proo. Roy. Soc., A300, 373; see alsoADSCrossRefGoogle Scholar
  8. Edwards, D.M. (1968). J. Appl. Phys., 39, 481ADSCrossRefGoogle Scholar
  9. Edwards, D.M. and Fisher, B. (1971). J. Physique, Coll. Suppl., 32, C1–C697.Google Scholar
  10. 8.
    Callaway, J. (1968). Phys. Rev., 170, 576; (1969). J. Appl. Phys., 40, 110.ADSCrossRefGoogle Scholar
  11. 9.
    Young, W. and Callaway, J. (1970). J. Phys. Chem. Solids, 31, 865ADSCrossRefGoogle Scholar
  12. Young, W. (1970). Phys. Rev., B2, 167.ADSGoogle Scholar
  13. 10.
    Callaway, J. and Zhang, H.M. (1968). Phys. Lett., 28A, 2921; (1970). Phys. Rev., B1, 305.Google Scholar
  14. 11.
    Roth, L.M. (1967). J. Phys. Chem. Solids, 28, 1549; (1968). J. Appl. Phys., 39, 474.ADSCrossRefGoogle Scholar
  15. 12.
    Herring, C. (1966). Exchange Interaction Among Itinerant Electrons, in Magnetism, Vol. IV, (eds. Rado, G. and Suhl, H.).Google Scholar
  16. 13.
    Thompson, E.D., Wohlfarth, E.P. and Bryan, A.C. (1964). Proc. Phys. Soc., 83, 59.ADSCrossRefGoogle Scholar
  17. 14.
    Izuyama, T. and Kubo, R. (1964). J. Appl. Phys. Suppl., 35, 1074S.ADSMATHCrossRefGoogle Scholar
  18. 15.
    Morkowski, J. (1968). J. Appl. Phys., 39, 476.ADSCrossRefGoogle Scholar
  19. 16.
    Morkowski, J., Król, Z. and Krompiewski, S. (a) (1972). Phys. Lett., 39A, 19; (b)(1973). Acta Phys. Polon., A43, 817.ADSGoogle Scholar
  20. 17.
    Morkowski, J. (1971). J. Physique, Coll. Suppl., 32, C1–C816.Google Scholar
  21. 18.
    Dyson, F.J. (1956). Phys. Rev., 102, 1217, 1230.MathSciNetADSMATHCrossRefGoogle Scholar
  22. 19.
    Keffer, F. (1966). Spin Waves, in Encyclopedia of Physics, Vol. XVIII/2, (ed. Flügge, S.), (Springer-Verlag).Google Scholar
  23. 20.
    Holstein, T. and Primakoff, H. (1940). Phys. Rev., 58, 1098.ADSMATHCrossRefGoogle Scholar
  24. 21.
    Morkowski, J. (1967). Acta Phys. Polon., 32, 147.Google Scholar
  25. 22.
    Sparks, M. (1964). Ferromagnetic Relaxation Theory, (McGraw-Hill, London and New York).Google Scholar
  26. 23.
    Bethe, H.A. (1931). Z. Phys., 71, 205.ADSMATHCrossRefGoogle Scholar
  27. 24.(a)
    Wortis, M. (1963). Phys. Rev., 132, 85MathSciNetADSCrossRefGoogle Scholar
  28. (b).
    Hanus, J. (1963). Phys. Rev. Lett., 11, 336MathSciNetADSCrossRefGoogle Scholar
  29. (c).
    Oguchi, T. (1971). J. Phys. Soc. Jap., 31, 394.ADSCrossRefGoogle Scholar
  30. 25.
    Torrance, J.B. Jr. and Tinkham, M. (1969). Phys. Rev., 187, 587, 595; see alsoADSCrossRefGoogle Scholar
  31. Elliott, R.J. and Smith, A.M. (1971). J. Physique, Coll. Suppl., 32, C1–C5 85.Google Scholar
  32. 26.
    Krompiewski, S., Morkowski, J. and Jezierski, A. (1974). Phys. Lett., (in the press).Google Scholar
  33. 27.
    Morkowski, J. (1966). Phys. Lett., 21, 146.ADSCrossRefGoogle Scholar
  34. 28.
    George, P.K. (1970). Physica, 49, 278.ADSCrossRefGoogle Scholar
  35. 29.
    Usui, T. (1960). Prog. Theor. Phys., 23, 787MathSciNetADSMATHCrossRefGoogle Scholar
  36. Lam, J. (1972). Kond. Mat., 15., 46.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1976

Authors and Affiliations

  • J. Morkowski
    • 1
  1. 1.Ferromagnetics LaboratoryInstitute of Physics of the Polish Academy of SciencesPoznanPoland

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