Energy–momentum transport through soliton in a site-dependent ferromagnet

The study of energy–momentum transport phenomena between two interacting spins in a ferromagnetic system provides a good realization of physical mechanism behind it. We investigate the nonlinear spin dynamics of a site-dependent ferromagnet with inhomogeneous exchange interaction in the presence of relativistic Gilbert damping. We demonstrate the influence of inhomogeneity and damping on the evolution of energy and current densities of the magnetization. It is found that the inhomogeneity and damping support the loss-less energy–momentum transport along the site-dependent spin chain.