Phase relations in superconductor-normal metal-superconductor tunnel junctions

Abstract

The phase difference $\varphi$, between the superconducting terminals in superconductor-normal metal-superconductor tunnel junctions (SINIS), incorporates the phase differences ${\chi }_{1,2}$ across thin interfaces of constituent $SIN$ junctions and the phase incursion $\phi$ between the side faces of the central electrode of length $L$. It is demonstrated here that ${\chi }_{1,2}$ pass through over their proximity-reduced domain twice, there and back, while $\varphi$ changes over the single period. Two corresponding solutions, that describe the double-valued order-parameter dependence on ${\chi }_{1,2}$, jointly form the single-valued dependence on $\varphi$, operating in two adjoining regions of $\varphi$. The phase incursion $\phi$ plays a crucial role in creating such a behavior. The current-phase relation $j(\varphi ,L)$ is composed of the two solutions and, at a fixed small $L$, is characterized by the phase-dependent effective transmission coefficient.

arXiv comment11 pages, 4 figures

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Cited by in corpus (1)

• Boundary conditions for the order parameter and the proximity influenced internal phase differences in double superconducting junctions