A MEAN-FIELD MODEL FOR SPIN DYNAMICS IN MULTILAYERED FERROMAGNETIC MEDIA

被引:10
作者
Chen, Jingrun [1 ]
Garcia-Cervera, Carlos J. [1 ]
Yang, Xu [1 ]
机构
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
基金
美国国家科学基金会;
关键词
spin-transfer torque; spin-magnetization coupling; moment closure; magnetization reversal; BOLTZMANN-EQUATION; BLOCH EQUATION; DOMAIN-WALL; LIMIT; SPINTRONICS; RESONANCE; TORQUES; SYSTEM;
D O I
10.1137/140953149
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we develop a mean-field model for describing the dynamics of spin-transfer torque in multilayered ferromagnetic media. Specifically, we use the techniques of Wigner transform and moment closure to connect the underlying physics at different scales and reach a macroscopic model for the dynamics of spin coupled with the magnetization within the material. This provides a further understanding of the linear response model proposed by Zhang, Levy, and Fert [Phys. Rev. Lett., 88 (2002), 236601], and in particular we get an extra relaxation term which helps to stabilize the system. We develop efficient numerical methods to overcome the stiffness appearing in this new mean-field model and present several examples to analyze and show its validity.
引用
收藏
页码:551 / 570
页数:20
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