The calculation of giant-magnetoresistance and in general, of electron transport for multilayers in the case of current perpendicular to the planes (CPP) requires both the two-point conductivity and the solution to the local field problem. In this paper we present a solution to the local field problem at an interface using two approaches. In the first approach we find the semiclassical solution for the local field when there is a band mismatch between two sides of an interface, and examine the

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... eviation of the t s t d resistance from the r d t of "self-averaging", in the lowest order of the value of the potential step. In the second approach, we solve for the quantum correction to the local field through a numerical iterative scheme. The oscillations due to the quantum correction are surprisingly large, but their correction to the total resistance is remarkably small. Our results imply that the 'self-averaging" of the resistance, which is usually assumed in analysis of CPP, is only approximate. 7 h e submitted manuscript has been authored by a contractor of the US. Government under contract No. DE-AC05 96oR22464. Acmrdingly, the US. Government retains a nonexclusive. royalty-free license to publish or reproduce the plblished form of this contribution, or allow othen to do so, for US. Government purposes: Typeset using