Theory of spin relaxation torque in metallic ferromagnets

Theory of spin relaxation torque in metallic ferromagnets
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金属铁磁体自旋弛豫力矩理论

DOI:
10.1103/physrevb.82.014403
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发表时间:
2010
期刊:
影响因子:
3.7
通讯作者:
G. Tatara
G. Tatara
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Noriyuki Nakabayashi;A. Takeuchi;K. Hosono;K. Taguchi;G. Tatara

文献摘要

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微观计算均匀金属铁磁体中的自旋弛豫扭矩 ${\cal T}$ 以及随机杂质引起的自旋轨道相互作用。 ${\cal T}$ 显示为电场的空间导数,但并不总是作为扭矩偶极子密度的散度给出。其结果是由于轨道角动量的快速耗散,因此无法定义守恒自旋流。讨论了自旋转移矩中的 $\beta$ 项也可以是不对称的。
Spin relaxation torque ${\cal T}$ in uniform metallic ferromagnets with the spin-orbit interaction arising from random impurities is calculated microscopically. ${\cal T}$ is shown to be written by spatial derivatives of the electric field, but is not always given as a divergence of a torque dipole density. The result is due to the fast dissipation of the orbital angular momentum, and thus a conserving spin current cannot be defined. It is discussed that the $\beta$ term in the spin transfer torque can also be asymmetric.