Energy Width of Spin Waves in the Heisenberg Ferromagnet
Author(s) -
A. B. Harris
Publication year - 1968
Publication title -
physical review
Language(s) - English
Resource type - Journals
eISSN - 1536-6065
pISSN - 0031-899X
DOI - 10.1103/physrev.175.674
Subject(s) - physics , energy (signal processing) , lambda , omega , spin (aerodynamics) , spin wave , ferromagnetism , condensed matter physics , quantum mechanics , thermodynamics
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.
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