Nonlinear Excitations in Magnetic Chains
The time dependent behavior of the classical, ferromagnetic xy-chain and the anisotropic Heisenberg chain in a symmetry breaking magnetic field was studied using a very fast, vectorized spin-dynamics method. The equations of motion were integrated using starting configurations determined by Monte-Carlo simulations. By calculating spin-spin correlation functions and taking space-time Fourier transforms we determined S(q, ω) for a wide range of fields and temperatures. We identify and measure the characteristics of single spin-wave peaks and two spin-wave sum peaks, as well as central peaks due to both soliton and two spin-wave difference processes. These results for the two models are discussed in the light of existing theory.
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