Kinky Behavior in Josephson Junctions

Abstract

We analyze nonperturbatively the behavior of a Josephson junction in which two BCS superconductors are coupled through an Anderson impurity. We recover earlier perturbative results which found that a $\delta =\pi$ phase difference is preferred when the impurity is singly occupied and the on-site Coulomb interaction is large. We find a novel intermediate phase in which one of $\delta =0$ and $\delta =\pi$ is stable while the other is metastable, with the energy $E(\delta )$ having a kink somewhere in between. As a consequence of the kink, the $I-V$ characteristics of the junction are modified at low voltages.

7 pages, 7 encapsulated PostScript figures; figure 3 corrected

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