Theory of the driving force of electromigration: Weak-charge solutions

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Abstract
We evaluate several models for the electronic contribution to the driving force of electromigration. Both density-matrix and Green's-function methods are employed. The major approximations are a limitation to effects of lowest order in the charge of the migrating ion, an average treatment of the background scattering in jellium, and a mean-field treatment of screening. Within these limitations we study in detail the charge density induced around the ion in the presence of an external electric field.