Analytical solutions to the precession relaxation of magnetization with uniaxial anisotropy  

作　　者：张泽南 贾镇林 薛德胜 Ze-Nan Zhang;Zhen-Lin Jia;De-Sheng Xue†(Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education,Lanzhou University,Lanzhou 730000,China)

机构地区：[1]Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education,Lanzhou University,Lanzhou 730000,China

出　　处：《Chinese Physics B》2024年第4期656-660,共5页中国物理B（英文版）

基　　金：Project supported by the National Key R&D Program of China (Grant No.2021YFB3501300);the National Natural Science Foundation of China (Grant Nos.91963201 and 12174163);the 111 Project (Grant No.B20063)。

摘　　要：Based on the Landau-Lifshitz-Gilbert(LLG)equation,the precession relaxation of magnetization is studied when the external field H is parallel to the uniaxial anisotropic field H_(k).The evolution of three-component magnetization is solved analytically under the condition of H=nH_(k)(n=3,1 and 0).It is found that with an increase of H or a decrease of the initial polar angle of magnetization,the relaxation time decreases and the angular frequency of magnetization increases.For comparison,the analytical solution for H_(k)=0 is also given.When the magnetization becomes stable,the angular frequency is proportional to the total effective field acting on the magnetization.The analytical solutions are not only conducive to the understanding of the precession relaxation of magnetization,but also can be used as a standard model to test the numerical calculation of LLG equation.

关 键 词：precession relaxation Landau-Lifshitz-Gilbert(LLG)equation uniaxial anisotropy analytical solutions 

分 类 号：O469[理学—凝聚态物理]