Abstract
The fourth order contributions to the generalized Ginzburg-Landau-Gor'kov (GLG) gap equation and to the corresponding free energy functional have been calculated by using a general method which has been developed in a previous paper. A comparison of the magnitudes of the fourth and second order terms leads to the general conclusion that the GLG type of theory is applicable only if the gapϕ and the vector potentialA vary slowly over BCS coherence distancesξ 0. The fourth order terms are of great practical interest since they can be used as correction terms to the second order terms when the GLG theory is extended from temperatures just belowT c to lower temperatures.
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