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A mechanism of a superconducting coupling of two magnets in a system of coupled superconductor/ferromagnet/superconductor Josephson junctions (JJs) with spin-orbit interaction is proposed. The predicted indirect magnetic interaction is long-range, that is its range is not restricted by the proximity length scales in the superconductor. It is based on the magnetoelectric coupling between the condensate phase difference and the magnetization in the interlayer of the S/F/S JJ, which is realized in the form of the anomalous ground state phase shift. The interaction is mediated by the superconducting phase of the middle superconductor, which is a macroscopic quantity and interacts with the both magnetizations in the presence of the anomalous phase shift. The mutual orientation of the ferromagnetic interlayers can be manipulated by the externally controlled superconducting phase between the leads.
Josephson junctions made with conventional s-wave superconductors and containing multiple layers of ferromagnetic materials can carry spin-triplet supercurrent in the presence of certain types of magnetic inhomogeneity. In junctions containing three
Andreev bound states are an expression of quantum coherence between particles and holes in hybrid structures composed of superconducting and non-superconducting metallic parts. Their spectrum carries important information on the nature of the pairing
We study the anomalous Josephson effect, as well as the dependence on the direction of the critical Josephson current, in an S/N/S junction, where the normal part is realized by alternating spin-orbit coupled and ferromagnetic layers. We show that to
In a standard Josephson junction the current is zero when the phase difference between the superconducting leads is zero. This condition is protected by parity and time-reversal symmetries. However, the combined presence of spin-orbit coupling and ma
We consider an asymmetric 0-pi Josephson junction consisting of 0 and pi regions of different lengths L_0 and L_pi. As predicted earlier this system can be described by an effective sine-Gordon equation for the spatially averaged phase psi so that th