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Physical review. B, Condensed matter

Spin-wave damping in ferromagnetic Heisenberg chains: s=12 and 1

Ueli Glaus, Stephen William Lovesey, E. Stoll

Published Apr 1, 1983• 1 citation
Publisher

Abstract

Numerical calculations of the transverse response function for short-length quantum-spin chains are used to study spin-wave damping at temperatures small compared with the Heisenberg exchange coupling. Results are presented for ferromagnetically coupled systems at several temperatures, for both spin \textonehalf{} and 1. At low temperatures, the numerical results are shown to be in good quantitative agreement with the predictions of nonlinear spin-wave theory.

DOI
10.1103/physrevb.27.4369

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We study a one-dimensional anisotropic XXZspin-12XXZ \text{spin-}\frac{1}{2}XXZspin-21​ model with ferromagnetic sign of the coupling and $z\text{\ensuremath{-}}z$ exchange constant ${J}_{z}=\mathrm{\ensuremath{\Delta}}J$, where $\mathrm{\ensuremath{\Delta}}<1$, and JJJ is the coupling within the XYXYXY spin plane. We calculate the damping of low-energy excitations with $\ensuremath{\omega}\ensuremath{\ll}T$ due to their scattering from thermal excitation bath with temperature $T\ensuremath{\ll}J$, taking into account nonzero curvature of the excitation spectrum, $\ensuremath{\epsilon}(q)=uq+\ensuremath{\delta}\ensuremath{\epsilon}(q)$. We calculate also longitudinal spin-spin correlation function $\ensuremath{\langle}{S}^{z}(x,t){S}^{z}(0,0)\ensuremath{\rangle}$ at $x\ensuremath{\approx}ut$ and find the shape of the spreading ``wave packet''.