Dzyaloshinskii-Moriya Solitons Properties In Ferromagnetic Nanowires

Recently,there has been strong interest in the research of Dzyaloshinskii-Moriya interaction(DMI)which plays a crucial role for magnetization dynamics.This antisymmetric anisotropic super-exchange interactions can lead to the formation of the spiral spin structures and change the domain wall drift velocity in ferromagnetic nanowires,and various novel phenomena have been realized,such as the magnon Hall effect,molecular magnetism,and multiferroicity.In the absence and presence of a external magnetic field,the extremely strong DMI induces the helical ground state and the Skyrmion state,respectively.Also,the spiral structure of magnetization has been observed in low-dimensional metallic magnets due to DMI.Although the effect of DMI on the domain wall motion has been studied extensively,the properties of dynamic soliton has not been explored in ferromagnetic nanowires under the combined action of spin-polarized current and DMI.In this paper,we mainly investigate the properties of DzyaloshinskiiMoriya solitons in ferromagnetic nanowires.There are three parts to describe the main content.Firstly,the relevant knowledge of ferromagnet and briefly summarize the knowledge of magnetic domain,domain wall,soliton and DMI is given.Secondly,the Landau-Lifshita-Gilbert equation is transformed into a modified nonlinear Schr?dinger equation by means of stereographic method.Then,the exact solutions of magnetization is obtained by Hirota method.Finally,the properties of Dzyaloshinskii-Moriya solitons in ferromagnetic nanowires is investigated,such as the effect of DMI on the velocity,amplitude,processional frequency,the internal structure distortion,energy and width of magnetixc soliton.At last,the properties of Dzyaloshinskii-Moriya soliton solution are discussed in detail.