Journal of Experimental and Theoretical Physics

, Volume 89, Issue 3, pp 583–595 | Cite as

Soliton-magnon scattering in a two-dimensional isotropic magnetic material

  • B. A. Ivanov
  • V. M. Murav’ev
  • D. D. Sheka
Electronic Properties


We use the generalized σ-model to analytically study the solution of the problem of magnon scattering in two-dimensional isotropic ferromagnets and antiferromagnets in the presence of a Belavin-Polyakov soliton. We obtain the exact analytical solution to this problem for the partial mode with the azimuthal quantum number m=1. The scattering amplitude for other values of m (i.e., values not equal to unity) are studied analytically in the long-and short-wavelength approximations and also numerically for an arbitrary value of the wave number. We establish the general laws governing the soliton-magnon interaction. For a magnetic material of finite dimensions we calculate the frequencies of the magnon modes. We also use the data on local modes to derive the equations of motion of the soliton. Finally, we calculate the low-temperature (long-wavelength) asymptotic behavior of the magnon density of states due to the soliton-magnon interaction.


Spectroscopy State Physics Soliton Field Theory Elementary Particle 
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Copyright information

© American Institute of Physics 1999

Authors and Affiliations

  • B. A. Ivanov
    • 1
    • 2
  • V. M. Murav’ev
    • 1
  • D. D. Sheka
    • 2
  1. 1.Institute of MagnetismNational Academy of SciencesKievUkraine
  2. 2.Taras Shevchenko Kiev UniversityKievUkraine

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