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arXiv 1008.2640cond-mat.mtrl-sci
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无序合金内、外反常霍尔效应的$ab$ $initio$水平相干描述

Coherent description of the intrinsic and extrinsic anomalous Hall effect in disordered alloys on an $ab$ $initio$ level

S. Lowitzer, D. Ködderitzsch, H. Ebert

摘要:

本文对反常霍尔效应(AHE)作了一个统一的描述,它适用于纯合金和无序合金系统,对所有的AHE源一视同仁。这是通过使用完全相对论性的Korringa-Kohn-Rostoker(KKR)格林函数方法结合相干势近似(CPA)合金理论来实现Kubo-Stencheda方程。应用纯元素铁磁体bcc-Fe和fcc-Ni导致的结果完全符合以前的工作。对于fcc-Fe $_x$ Pd $_{1-x}$和fcc-Ni $_x$ Pd $_{1-x}$合金体系,在整个浓度范围内的反常霍尔电导率(AHC)都能达到与实验非常满意的一致。为了解释这些结果的内在AHC的定义的扩展建议。绘制相应的非本征AHC与纵向电导率的线性关系被发现在稀释制度,允许详细讨论的歪斜和侧跳散射过程的作用。

英文摘要:

A coherent description of the anomalous Hall effect (AHE) is presented that is applicable to pure as well as disordered alloy systems by treating all sources of the AHE on equal footing. This is achieved by an implementation of the Kubo-Středa equation using the fully relativistic Korringa-Kohn-Rostoker (KKR) Green's function method in combination with the Coherent Potential Approximation (CPA) alloy theory. Applications to the pure elemental ferromagnets bcc-Fe and fcc-Ni led to results in full accordance with previous work. For the alloy systems fcc-Fe$_x$Pd$_{1-x}$ and fcc-Ni$_x$Pd$_{1-x}$ very satisfying agreement with experiment could be achieved for the anomalous Hall conductivity (AHC) over the whole range of concentration. To interpret these results an extension of the definition for the intrinsic AHC is suggested. Plotting the corresponding extrinsic AHC versus the longitudinal conductivity a linear relation is found in the dilute regimes, that allows a detailed discussion of the role of the skew and side-jump scattering processes.

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