Spin-wave interactions in the two-dimensional easy-axis Heisenberg ferromagnet
Authors:
- 1 August 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 48 (6) , 3792-3802
Abstract
We examine the influence of spin-wave interactions on the properties of the Heisenberg ferromagnet in two dimensions, where long-range order is stabilized by anisotropy of easy-axis character. We find, in contrast to the behavior in three dimensions, the scattering amplitude for spin-wave–spin-wave interactions displays nonanalytic (logarithmic) behavior in the limit of long wavelengths. We examine the influence of this feature on the renormalization of the dispersion relation of long-wavelength spin waves. We also explore the influence of anisotropy on certain higher-order corrections examined earlier by Kosevich and Chubukov, for the isotropic limit of the two-dimensional Heisenberg model.Keywords
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