Spin correlation functions and quasiparticle decay

Abstract

We study one-dimensional anisotropic XXZ spin-$\frac{1}{2}$ model with ferromagnetic sign of the coupling and $z-z$ exchange constant $J_z=\Delta J$, where $\Delta <1$, and $J$ is the coupling within XY spin plane. We calculate damping of low-energy excitations with $\omega \ll T$ due to their scattering from thermal excitation bath with temperature $T\ll J$, taking into account nonzero curvature of the excitation spectrum, $\epsilon (q)=uq+\delta \epsilon (q)$. We calculate also longitudinal spin-spin correlation function $⟨S^z(x,t)S^z(0,0)⟩$ at $x\approx ut$ and find the shape of the spreading "wave packet".

arXiv comment12 pages, 4 figures

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Cited by in corpus (2)

• High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging KPZ-scaling in the zero-magnetization limit
• Photon echo and fractional excitation lensing of $S=1/2$ XY spin chain