Theory of the anomalous Hall effect from the Kubo formula and the Dirac equation -: art. no. 014416
Theory of the anomalous Hall effect from the Kubo formula and the Dirac equation -: art. no. 014416
复制标题
DOI：
10.1103/physrevb.64.014416
复制
发表时间：
2001-07-01
影响因子：
3.7
通讯作者：
Bruno, P
中科院分区：
文献类型：
--
作者：
Crépieux, A;Bruno, P
提出了一个处理反常霍尔效应的模型。基于久保形式主义和狄拉克方程，该模型允许同时计算的倾斜散射和侧跳的异常霍尔电导率的贡献。证明了该方程的连续性以及与泡利哈密顿量所描述的弱相对论极限的一致性。对于这两种方法，狄拉克和泡利，费曼图，导致斜散射和侧跳的贡献，强调。为了说明这种方法，我们将其应用到一个特殊的情况下：铁磁块状化合物在弱散射和自由电子近似的限制。得到了斜散射和侧跳机制下的反常霍尔电导率的显式表达式。在这个模型中，最近预测的“自旋霍尔效应”自然出现。
A model to treat the anomalous Hall effect is developed. Based on the Kubo formalism and on the Dirac equation, this model allows the simultaneous calculation of the skew-scattering and side-jump contributions to the anomalous Hall conductivity. The continuity and the consistency with the weak-relativistic limit described by the Pauli Hamiltonian is shown. For both approaches, Dirac and Pauli, the Feynman diagrams, which lead to the skew-scattering and the side-jump contributions, are underlined. In order to illustrate this method, we apply it to a particular case: a ferromagnetic bulk compound in the limit of weak-scattering and free-electrons approximation. Explicit expressions for the anomalous Hall conductivity for both skew-scattering and side-jump mechanisms are obtained. Within this model, the recently predicted "spin Hall effect" appears naturally.