Phase relations in superconductor–normal metal–superconductor tunnel junctions
Yu. S. Barash
DOI 10.1103/PhysRevB.99.140508 · Physical Review B
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Abstract
The phase difference ϕ, between the superconducting terminals in superconductor–normal metal–superconductor tunnel junctions (SINIS), incorporates the phase differences χ1,2 across thin interfaces of constituent SIN junctions and the phase incursion φ between the side faces of the central electrode of length L. It is demonstrated here that χ1,2 pass through over their proximity-reduced domain twice, there and back, while ϕ changes over the single period. Two corresponding solutions, that describe the double-valued order-parameter dependence on χ1,2, jointly form the single-valued dependence on ϕ, operating in two adjoining regions of ϕ. The phase incursion φ plays a crucial role in creating such a behavior. The current-phase relation j(ϕ,L) is composed of the two solutions and, at a fixed small L, is characterized by the phase-dependent effective transmission coefficient.
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