 9843 YongJihn Kim
 StrongCoupling Theory of Impure Superconductors : Correspondence
with WeakCoupling Theory
(30K, revTex)
Feb 1, 98

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Abstract. We reconsider the ordinary impurity effect on the transition temperature
$T_{c}$ of superconductors using the Eliashberg formalism.
It is shown that the correspondence principle, which relates strongcoupling
and weakcoupling theories, works only when Anderson's pairing condition
between the timereversed scatteredstates is used.
For an Einstein phonon model, the change of the electron density
of states caused by the impurity scattering leads to a $T_{c}$ decrease
proportional to ${1/ E_{F}\tau}$ in the dirty limit.
It is pointed out that the phononmediated interaction decreases
by the same weak localization correction term as that of the conductivity.
Accordingly, for strongly localized states the phononmediated interaction
is exponentially small.
We also discuss the case of Debye phonon model.
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