Proximity effect in clean strong/weak/strong superconducting tri-layers

Abstract

Recent measurements of the Josephson critical current through LSCO/LCO/LSCO thin films showed an unusually large proximity effect. Using the Bogoliubov-de Gennes (BdG) equations for a tight binding Hamiltonian we describe the proximity effect in weak links between a superconductor with critical temperature $T_c$ and one with critical temperature $T_c$', where $T_c>T_c$'. The weak link (N') is therefore a superconductor above its own critical temperature and the superconducting regions are considered to have either s-wave or d-wave symmetry. We note that the proximity effect is enhanced due to the presence of superconducting correlations in the weak link. The dc Josephson current is calculated, and we obtain a non-zero value for temperatures greater than $T_c$' for sizes of the weak links that can be almost an order of magnitude greater than the conventional coherence length. Considering pockets of superconductivity in the N' layer, we show that this can lead to an even larger effect on the Josephson critical current by effectively shortening the weak link.

arXiv commentsubmitted to Physical Review B

References in corpus (6)

• Circuit theory of unconventional superconductor junctions
• Proximity effects at ferromagnet-superconductor interfaces
• Theory of charge transport in diffusive normal metal / unconventional singlet superconductor contacts
• Superconducting Puddles and "Colossal'' Effects in Underdoped Cuprates
• Microscopic Theory of Josephson Mesoscopic Constrictions
• Proximity effect, quasiparticle transport, and local magnetic moment in ferromagnet-d-wave superconductor junctions

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