Soliton-magnon scattering in a two-dimensional isotropic magnetic material |
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Authors: | B A Ivanov V M Murav’ev D D Sheka |
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Institution: | (1) Institute of Magnetism, National Academy of Sciences, 252142 Kiev, Ukraine;(2) Taras Shevchenko Kiev University, 252127 Kiev, Ukraine |
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Abstract: | 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.
Zh. éksp. Teor. Fiz. 116, 1091–1114 (September 1999) |
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