Calculation of Transition Temperatures of Superconductor-Metal Sandwiches

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Abstract
The transition temperatures of superconductor-metal sandwiches and superlattices have been calculated. We employ the eigenfunction expansion of the de Gennes kernal near the critical temperature as implemented by Takahashi and Tachiki. We have modified these equations and results by consistently including a cut-off at the Debye frequency in the associated matrix elements of this theory and by approximately diagonalizing the eigenvalue equations. Our results show a much steeper decrease of the transition temperature with layer thickness than the Werthamer one mode approximation.

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