The aim of this paper is to present a rigorous mathematical proof of the dynamical laws for the topological solitons( magnetic vortices) in ferromagnets and anti-ferromagnets. It is achieved through the conservation l...The aim of this paper is to present a rigorous mathematical proof of the dynamical laws for the topological solitons( magnetic vortices) in ferromagnets and anti-ferromagnets. It is achieved through the conservation laws for the topological vorticity and the weak convergence methods.展开更多
文摘The aim of this paper is to present a rigorous mathematical proof of the dynamical laws for the topological solitons( magnetic vortices) in ferromagnets and anti-ferromagnets. It is achieved through the conservation laws for the topological vorticity and the weak convergence methods.
基金the support by the strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDA18000000)the Key Scientific Research Projects of Higher Institutions in Henan Province (19A140018)+1 种基金the starting grant of ShanghaiTech University and the Program for Professor of Special Appointment (Shanghai Eastern Scholar)the support from Analytical Instrumentation Center (# SPST-AIC10112914), SPST, ShanghaiTech University