Theory of superconducting proximity effect in a three-dimensional system in the clean limit
Yukio Tanaka, Masaru Tsukada
DOI 10.1103/PhysRevB.42.2066 · Physical Review B
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Abstract
The superconducting proximity effect is theoretically investigated for a three-dimensional system in the clean-limit case based on a microscopic wave function. The spatial dependence of the pair potential is clarified with use of the numerical solution of the Gor’kov equation for the step-function S-N model. The reduction of the pair potential at the fixed point of the superconductor side ΔS is calculated as a measure of the degree of the proximity effect. This quantity is found to be determined by (k̃F/kF), which is the ratio of the Fermi wave number in the N region to that in the S region. This effect is explained by the conservation of the parallel momentum of the electron to the interface.
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