Abstract
In this paper we study the interactions between magnons and a soliton, in a classical and isotropic two-dimensional Heisenberg antiferromagnet in the presence of a staggered field applied perpendicularly to the $xy$ plane. We obtained the exact solutions to the magnons in the presence of the soliton. As a consequence we obtain the exact phase shifts, which were compared to the ones obtained by Born approximation. The quantum corrections of the energy of the soliton were also encountered. Our results can be applied to study the thermodynamics and generalized for two-dimensional isotropic ferromagnets with an axial magnetic field.
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