Nonuniform superconductivity and Josephson effect in conical ferromagnet

Abstract

Using the Gorkov equations, we provide an exact solution for a one-dimensional model of superconductivity in the presence of a conical helicoidal exchange field. Due to the special type of symmetry of the system, the superconducting transition always occurs into a nonuniform superconducting phase (in contrast with the Fulde-Ferrell-Larkin-Ovchinnikov state, which appears only at low temperatures). We directly demonstrate that the uniform superconducting state in our model carries a current and thus does not correspond to the ground state. We study in the framework of the Bogoliubov-de Gennes approach the properties of the Josephson junction with a conical ferromagnet as a weak link. In our numerical calculations, we do not use any approximations (such as, e.g., a quasiclassical approach), and we show a realization of an anomalous ${\varphi }_0$ junction (with a spontaneous phase difference ${\varphi }_0$ in the ground state). The spontaneous phase difference ${\varphi }_0$ strongly increases at high values of the exchange field near the borderline with a half-metal, and it exists also in the half-metal regime.

arXiv commentpublished version

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• Magnetoelectric effects in Josephson junctions
• Resistive state of SFS Josephson junctions in the presence of moving domain walls
• Anomalous supercurrent modulated by interfacial magnetizations in Josephson junctions with ferromagnetic bilayers
• Magnetoelectric effects in superconductor/ferromagnet bilayers
• Josephson current through a ferromagnetic bilayer: Beyond the quasiclassical approximation
• Magnetoelectric effect in the helical state of a superconductor/ferromagnet bilayer
• Proximity effect and p-wave superconductivity in s-wave superconductor/helimagnet heterostructures
• Spin-resolved Josephson diode effect through strongly spin-polarized conical magnets
• Non uniform superconductivity in wires with strong spin-orbit coupling