Abstract
We present theoretical results on the dynamic structure factors of both the classical Sine-Gordon chain and thexy-like ferromagnetic chain in a symmetry breaking magnetic field. We investigate the lowest order corrections to the noninteracting soliton/magnon picture and show that interference effects between solitons and magnons considerably reduce the intensity of the soliton induced central peak. We discuss the additional contribution of two magnon processes to the central peak and find that the combined strength is in agreement with numerical results. We calculate magnon intensities including quantum effects and find that the intensity depends strongly on temperature and wavevector. Quantitative results are given for the one-dimensional magnet CsNiF3 and compared to neutron scattering data. The soliton induced line-width of the long wavelength magnon is also given.
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Allroth, E., Mikeska, H.J. Solitons and magnons in Sine-Gordon like magnetic chains. Z. Physik B - Condensed Matter 43, 209–219 (1981). https://doi.org/10.1007/BF01297520
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DOI: https://doi.org/10.1007/BF01297520