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Induction of superconductivity with a finite voltage on the plates of an <i>N−S</i> tunnel sandwich

V. P. SeminozhenkoPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kov and Institute of Metal Physics, Academy of Sciences of the Ukrainian SSR, KievS. E. ShafranyukPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kov and Institute of Metal Physics, Academy of Sciences of the Ukrainian SSR, Kiev
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The Éliashberg technique is used to obtain an equation for the energy gap of an N film (belonging to an N−S sandwich; S is the superconductor) in the tunneling Hamiltonian model. The case where the voltage V applied to the contact differs from zero is considered. It is shown that, as distinct from the previously considered case of V = 0, the induction of superconductivity (proximity effect) is manifested best in the N film at voltages V2∼Δs2−ΔN2 when Δs ≫ ΔN (Δs and ΔN are the energy gaps of the S and N films).

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