Generalized quasiclassical theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets

Abstract

We present the generalized quasiclassical theory of the long-range superconducting proximity effect in heterostructures with strong ferromagnets, where the exchange splitting is of the order of Fermi energy. In the ferromagnet the propagation of spin-triplet Cooper pairs residing on the spin-split Fermi surfaces is shown to be governed by the spin-dependent Abelian gauge field which results either from the spin-orbital coupling or from the magnetic texture. The additional gauge field enters into the quasiclassical equations in superposition with the usual electromagnetic vector potential and results in the generation of spontaneous superconducting currents and phase shifts in various geometries which provide the sources of long-range spin-triplet correlations. We derive the Usadel equations and boundary conditions for the strong ferromagnet and consider several generic examples of the Josephson systems supporting spontaneous currents.

Final version published in PRB

References in corpus (9)

• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Signature of magnetic-dependent gapless odd frequency states at superconductor/ferromagnet interfaces
• Spin-dependent Cooper Pair Phase and Pure Spin Supercurrents in Strongly Polarized Ferromagnets
• Magnetoelectrics in Disordered Topological Insulator Josephson Junctions
• Spin Gauge Fields: from Berry Phase to Topological Spin Transport and Hall Effects
• Spin Supercurrent, Magnetization Dynamics, and Phi-State in Spin-Textured Josephson Junctions
• Spin-Hall effects in a Josephson contact

Cited by in corpus (16)

• Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces
• Critical supercurrent and ${\varphi }_0$ state for probing a persistent spin helix
• Magnetoelectric effects in Josephson junctions
• Quantum transport theory for unconventional magnets: Interplay of altermagnetism and p-wave magnetism with superconductivity
• Crossover between short and long range proximity effects in SFS junctions with Ni-based ferromagnets
• Bifurcation structure and chaos in nanomagnet coupled to Josephson junction
• Nonuniform superconductivity and Josephson effect in conical ferromagnet
• Anomalous supercurrent modulated by interfacial magnetizations in Josephson junctions with ferromagnetic bilayers
• Spin supercurrent in superconductor/ferromagnet van-der-Waals heterostructures
• Theory of quantum-geometric charge and spin Josephson diode effects in strongly spin-polarized hybrid structures with noncoplanar spin textures
• Charge and Spin Supercurrents in Magnetic Josephson Junctions with Spin Filters and Domain Walls
• Proximity effect and p-wave superconductivity in s-wave superconductor/helimagnet heterostructures
• Spin-resolved Josephson diode effect through strongly spin-polarized conical magnets
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Triplet correlations in superconductor/antiferromagnet heterostructures: dependence on type of antiferromagnetic ordering
• Current-driven motion of magnetic topological defects in ferromagnetic superconductors