Abstract
We consider the one-magnon subspace of a quantum Heisenberg Hamiltonian with ferromagnetic ground state. In this model, the spins belong to a chain which contains a cubic interaction between the nearest neighbors atoms. The quantum Heisenberg spin-spin coupling is a function of the distance between them. By providing a numerical solution of the Heisenberg nonlinear lattice model, we found that magnon-lattice coupling affects the magnon dynamics in distinct ways: for a specific range of magnon-lattice interaction values, a magnon-soliton pair is observed. Moreover, an effective repulsion between the magnon's excitation and the lattice deformation is noticed for other cases.
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