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Josephson current in a superconductor-ferromagnet junction with two non-collinear magnetic domains

B. Crouzy·S. Tollis·D. A. Ivanov
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Abstract

We study the Josephson effect in a superconductor--ferromagnet--superconductor (SFS) junction with ferromagnetic domains of non-collinear magnetization. As a model for our study we consider a diffusive junction with two ferromagnetic domains along the junction. The superconductor is assumed to be close to the critical temperature $T_c$, and the linearized Usadel equations predict a sinusoidal current-phase relation. We find analytically the critical current as a function of domain lengths and of the angle between the orientations of their magnetizations. As a function of those parameters, the junction may undergo transitions between 0 and $π$ phases. We find that the presence of domains reduces the range of junction lengths at which the $π$ phase is observed. For the junction with two domains of the same length, the $π$ phase totally disappears as soon as the misorientation angle exceeds $π/2$. We further comment on possible implication of our results for experimentally observable 0--$π$ transitions in SFS junctions.

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B. Crouzy, S. Tollis, D. A. Ivanov. 2007-03-06. Josephson current in a superconductor-ferromagnet junction with two non-collinear magnetic domains. https://doi.org/10.1103/physrevb.75.054503

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