Two-Soliton Bound States in a Heisenberg Spin Chain11The project supported by National Natural Science Foundation of China

Abstract

An inhomogeneous Heisenberg spin Hamiltonian with single ion anisotropy is used to investigate the nonlinear excitations in ferromagnetic chain. By means of the Holstein-Primakoff transformation and Glauber's coherent–state representation, the equation of motion for anni-hilation operator a(j) is reduced to a nonlinear Schrödinger-like equation in the semiclassical approximation and the long wave approximation. For a homogeneous system, the exact and explicitly single soliton (localized magnon state) and two–magnon bound state solutions are Given by the inverse scattering transform.