Half-Periodic Josephson Effect in an s-Wave Superconductor - Normal Metal -d-Wave Superconductor Junction

Abstract

We predict that the Josephson current in a clean s-wave superconductor-normal metal-d-wave superconductor junction is periodic in superconducting phase difference $\varphi$ with period $\pi$ instead of $2\pi$. The frequency of non-stationary Josephson effect is correspondingly $2{\omega }_J=4eV.$ The effect is due to coexistence in the normal layer of current carrying Andreev levels with phase differences $\varphi$ and $\varphi +\pi .$

4 pages, REVTeX, 3 figures

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