Non-linear dynamics of classical one-dimensional antiferromagnets

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Abstract
Solutions are presented to the non-linear equations of motion of classical antiferromagnetic chains in a continuum description. Results have been obtained for, in addition to isotropic exchange, various combinations of single-ion anisotropies (Ising and xy-like) and external magnetic fields (supporting and breaking the anisotropy). Among the solutions are both sine-Gordon solitons, representing antiferromagnetic domain walls and pulse solitons with continuously varying amplitude. Solitons in the xy antiferromagnet in asymmetry-breaking external field are discussed with respect to their observability in TMMC. They are found to contribute two different central peaks to the dynamical structure factor.