The electron wind force in electromigration

The electron wind force in electromigration
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电迁移中的电子风力

DOI:
10.1016/0022-3697(86)90072-7
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发表时间:
1986
影响因子:
4
通讯作者:
Raju P. Gupta
Raju P. Gupta
中科院分区:
材料科学3区
文献类型:
--
作者:
Raju P. Gupta

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本文研究了在恒定电场作用下,由电流产生的电子密度极化所引起的作用于金属凝胶中杂质原子的电子风力问题。假设杂质浓度很小,因此杂质-杂质相互作用可以忽略不计。我们用散射理论以非线性的方式来处理电子气体对杂质的屏蔽,并在线性化玻尔兹曼方程的框架内考虑电场引起的扰动。发现对杂质的驱动力可以用其残余电阻率来表示,这种关系与杂质电位的强度无关。在弱散射极限下,波士维厄和弗里德尔的结果得到恢复。在弱散射极限下,仔细观察电流引起的电子极化,发现杂质势中存在二阶电子密度项,可识别为残余电阻率偶极子。然而,他们对驱动力的贡献被发现为零。
The problem of the electron wind force acting on an impurity atom in a jellium metal, arising from the polarization of the electron density created by the flow of the electric current under a constant electric field, has been investigated. The impurity concentration is assumed to be small so that the impurity-impurity interaction can be neglected. We have used the scattering theory to treat the screening of the impurity by the electron gas in a nonlinear manner, and the pertubation due to the electric field is considered within the framework of the linearized Boltzmann equation. It is found that the driving force on the impurity can be expressed in terms of its residual resistivity, and this relationship is independent of the strength of the impurity potential. In the weak scattering limit the results of Bosvieux and Friedel are recovered. A close examination of the electronic polarization induced by the current, in the weak scattering limit, shows that there are terms in the electron density of second order in the impurity potential, which can be identified as the residual resistivity dipoles. However, their contribution to the driving force is found to be exactly zero.