Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-06-27
Phys. Rev. B 69, 024525 (2004).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
7 pages, 2 figures
Scientific paper
10.1103/PhysRevB.69.024525
We calculate the current-phase relation of a long Josephson junction consisting of two ferromagnetic domains with equal, but opposite magnetization $h$, sandwiched between two superconductors. In the clean limit, the current-phase relation is obtained with the help of Eilenberger equation. In general, the supercurrent oscillations are non-sinusoidal and their amplitude decays algebraically when the exchange field is increased. If the two domains have the same size, the amplitude is independent of $h$, due to an exact cancellation of the phases acquired in each ferromagnetic domain. These results change drastically in the presence of disorder. We explicitly study two cases: Fluctuations of the domain size (in the framework of the Eilenberger equation) and impurity scattering (using the Usadel equation). In both cases, the current-phase relation becomes sinusoidal and the amplitude of the supercurrent oscillations is exponentially suppressed with $h$, even if the domains are identical on average.
Blanter Ya M.
Hekking Frank W. J.
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