Long-range interaction of magnetic moments in a coupled system of S/F/S Josephson junctions with anomalous ground-state phase shift

Abstract

A mechanism of a superconductivity-mediated interaction of two magnets in a system of coupled superconductor/ferromagnet/superconductor (S/F/S) Josephson junctions (JJs) with spin-orbit interaction is proposed. The predicted indirect magnetic interaction favors the antiparallel orientation of the magnets. Its spatial scale is not restricted by the proximity length scales of the superconductor. Our estimates suggest that the interaction strength is not reduced considerably even at the macroscopic scales of the order of millimeters. At larger distances $l$ between the magnets the coupling constant exhibits the long-range power law $1/l$ behavior. The mechanism of the interaction is based on two key ingredients: (i) the anomalous ground state phase shift in the S/F/S JJ provides a magnetoelectric coupling between the condensate phase and the magnetization and (ii) the interaction is mediated by the condensate phase of the superconducting region connecting both JJs. In addition we demonstrate high tunability of the total magnetic configuration of the system by the externally controlled superconducting phase between the leads.

11 pages, 9 figures, published version

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Cited by in corpus (8)

• Magnetoelectric effects in Josephson junctions
• Hysteresis and chaos in anomalous Josephson junctions without capacitance
• Controllable magnetic states in chains of coupled phi-0 Josephson junctions with ferromagnetic weak links
• Magnetic eigenmodes in chains of coupled phi0-Josephson junctions with ferromagnetic weak links
• Voltage-driven dynamics of ${\phi }_0$-S/F/S Josephson junctions chains
• Proximity Induced Non-collinear Magnetic States in Planar Superconductor/Ferromagnet Hybrids
• Hybrid collective excitations in topological superconductor/ferromagnetic insulator heterostructures
• Anomalous phase shift and superconducting diode effect in Josephson junctions via thin films of rare-earth intermetallic magnets