Microscopic Theory of Josephson Mesoscopic Constrictions

Details Microscopic Theory of Josephson Mesoscopic Constrictions Microscopic Theory of Josephson Mesoscopic Constrictions

1993-12-20

arxiv.org/abs/cond-mat/9312081v1

Physics

Condensed Matter

4 pages (RevTex 3.0), 3 postscript figures available upon request, 312456-CG

Scientific paper

10.1103/PhysRevLett.72.554

We present a microscopic theory for the d.c. Josephson effect in model mesoscopic constrictions. Our method is based on a non-equilibrium Green function formalism which allows for a self-consistent determination of the order parameter profile along the constriction. The various regimes defined by the different length scales (Fermi wavelength $\lambda_F$, coherence length $\xi_0$ and constriction length $L_C$) can be analyzed, including the case where all these lengths are comparable. For the case $\lambda_F \tilde{<} (L_C,\xi_0)$ phase oscillations with spatial period $\lambda_F/2$ can be observed. In the case of $L_C>\xi_0$ solutions with a phase-slip center inside the constriction can be found, in agreement with previous phenomenological theories.

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