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A calculation of the energy width of spin waves whose energy is small compared to kT in a Heisenberg ferromagnet is presented. Full account is taken of all two-particle processes. For 2JS/kT≫1 and 2JSa2λ2/kT≪1, the energy width Δωλ of a spin wave of wave number λ is Δωλ~λ4T2[A+Bln(kT/2JSa2λ2)+Cln2(kT/2JSa2λ2)]. The disagreement with some previous treatments is explained physically by their neglect of two many-body effects.
Harris, A. (1968). Energy Width of Spin Waves in the Heisenberg Ferromagnet. Physical Review, 175 (2), 674-679. http://dx.doi.org/10.1103/PhysRev.175.674
Additional Filesenergy width erratum.pdf (96 kB)
Date Posted: 20 August 2015
This document has been peer reviewed.