sin(2 phi) current-phase relation in SFS junctions with decoherence in the ferromagnet

Abstract

We propose a theoretical description of the sin(2 phi) current-phase relation in SFS junctions at the 0-$\pi$ cross-over obtained in recent experiments by Sellier et al. [Phys. Rev. Lett. 92, 257005 (2004)] where it was suggested that a strong decoherence in the magnetic alloy can explain the magnitude of the residual supercurrent at the 0-pi cross-over. To describe the interplay between decoherence and elastic scattering in the ferromagnet we use an analogy with crossed Andreev reflection in the presence of disorder. The supercurrent as a function of the length R of the ferromagnet decays exponentially over a length xi, larger than the elastic scattering length $l_d$ in the absence of decoherence, and smaller than the coherence length $l_{\varphi }$ in the absence of elastic scattering on impurities. The best fit leads to $\xi \simeq {\xi }_h^{(\mathrm{diff})}/3$, where ${\xi }_h^{(\mathrm{diff})}$ is exchange length of the diffusive system without decoherence (also equal to $\xi$ in the absence of decoherence). The fit of experiments works well for the amplitude of both the sin(phi) and sin(2 phi) harmonics.

7 pages, 3 figures, article rewritten

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• Role of magnetic scattering in 0-pi transitions in a superconductor/ferromagnetic metal/superconductor junction
• Magnetic interference pattern in planar SNS Josephson junctions
• Long range statistical fluctuations of the crossed Josephson current
• Superconductor-ferromagnet junction phase qubit
• Sign reversal of ac Josephson current in a ferromagnetic Josephson junction