论文标题
关于电流和磁化的任意方向的各向异性磁化效应的理论研究:铁磁体的磁化:应用于横向各向异性磁势效应的应用
Theoretical Study on Anisotropic Magnetoresistance Effects of Arbitrary Directions of Current and Magnetization for Ferromagnets: Application to Transverse Anisotropic Magnetoresistance Effect
论文作者
论文摘要
我们开发了一种各向异性磁阻(AMR)的理论(AMR)对铁磁体的磁化和磁化的任意方向的影响。在这里,我们将电子散射理论与$ s $ - $ s $和$ s $ - $ d $散射过程一起使用,其中$ s $是传导电子状态,$ d $是本地化的D状态。电子散射引起的电阻率由当前方向的D状态的概率密度表达。通过将确切的对角线化方法应用于D状态的Hamiltonian通过交换场,晶体场和自旋 - - 轨道相互作用来获得数值获得的D状态。使用该理论,我们研究了具有立方或四方对称性晶体的强铁磁体的横向AMR(TAMR)效应。立方系统表现出四倍的对称TAMR效应,而四方系统则表现出双重和四倍的对称TAMR效应。在上述结果的基础上,我们还评论了Fe $ _4 $ n的TAMR效应的实验结果。
We develop a theory of the anisotropic magnetoresistance (AMR) effects of arbitrary directions of current and magnetization for ferromagnets. Here, we use the electron scattering theory with the $s$--$s$ and $s$--$d$ scattering processes, where $s$ is the conduction electron state and $d$ is the localized d states. The resistivity due to electron scattering is expressed by the probability density of the d states of the current direction. The d states are numerically obtained by applying the exact diagonalization method to the Hamiltonian of the d states with the exchange field, crystal field, and spin--orbit interaction. Using the theory, we investigate the transverse AMR (TAMR) effect for strong ferromagnets with a crystal field of cubic or tetragonal symmetry. The cubic systems exhibit the fourfold symmetric TAMR effect, whereas the tetragonal systems show the twofold and fourfold symmetric TAMR effect. On the basis of the above results, we also comment on the experimental results of the TAMR effect for Fe$_4$N.