Scattering Theory for Substitutional Electromigration

Faculteit Natuurkunde en Sterrenkunde, Vrije Universiteit, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands 

It will be shown that a more elegant and more easily applicable solution of the problem is given by choosing another reference system. Both the dilute alloy and the unperturbed host can be described with respect to a common reference system, which consists of the unperturbed part of the alloy system and for obvious reasons is called void system. This void system allows for a single-site evaluation of the matrix element describing the wind force in electromigration and the t-matrix element required for the calculation of the residual resistivity due to a saddle-point defect. 

The paper is organized as follows. First the problem will be stated in a historical context. Subsequently, the matrix elements for electromigration and the residual 

The exact treatment of the scattering of a metal electron by an impurity traces back to the pioneering work of Friedel [1]. Compared to the complete matrix element 

Atomic units, with h = 2m = 1, are used througout the text. The state label for the energy E. is omitted. The elaborated form of T/ k is [2] 

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