Odd spin-triplet superconductivity in a multilayered superconductor-ferromagnet Josephson junction

Abstract

We study the dc Josephson effect in a diffusive multilayered SF'FF'S structure, where S is a superconductor and F,F' are different ferromagnets. We assume that the exchange energies in the F' and F layers are different ( and $H$, respectively) and the middle F layer consists of two layers with parallel or antiparallel magnetization vectors $M$. The $M$ vectors in the left and right F' layers are generally not collinear to those in the F layer. In the limit of a weak proximity effect we use a linearized Usadel equation. Solving this equation, we calculate the Josephson critical current for arbitrary temperatures, arbitrary thicknesses of the F' and F layers ( and $L_H$) in the case of parallel and antiparallel $M$ orientations in the F layer. The part of the critical current $I_{cSR}$ formed by the short-range (SRC) singlet and S=0 triplet condensate components decays on a short length ${\xi }_H=\sqrt{D/H}$, whereas the part due to the long-range triplet $|S|=1$ component (LRTC) decreases with increasing $L_H$ on the length ${\xi }_N=\sqrt{D/\pi T}$. Our results are in agreement with the experiment \cite{Birge}.

13 pages, 6 figures; some references updated and added

References in corpus (24)

• A spin triplet supercurrent through the half-metallic ferromagnet CrO2
• Observation of spin-triplet superconductivity in Co-based Josephson Junctions
• Critical Current Oscillations in Strong Ferromagnetic Pi-Junctions
• Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
• Half-integer Shapiro steps at the 0-pi crossover of a ferromagnetic Josephson junction
• 0-pi Josephson tunnel junctions with ferromagnetic barrier
• Spin-dependent Cooper Pair Phase and Pure Spin Supercurrents in Strongly Polarized Ferromagnets
• Josephson effect due to the long-range odd-frequency triplet superconductivity in SFS junctions with Neel domain walls
• Josephson tunnel junctions with strong ferromagnetic interlayer
• Critical current of a Josephson junction containing a conical magnet
• Josephson coupling through ferromagnetic heterojunctions with noncollinear magnetizations
• Odd triplet superconductivity in a superconductor/ferromagnet structure with a spiral magnetic structure
• Quantum limit of the triplet proximity effect in half-metal - superconductor junctions
• 0-pi Transitions in a Superconductor/Chiral Ferromagnet/Superconductor Junction induced by a Homogeneous Cycloidal Spiral
• Odd triplet superconductivity in superconductor-ferromagnet structures with a narrow domain wall
• Josephson current in a superconductor-ferromagnet junction with two non-collinear magnetic domains
• Josephson current in diffusive multilayer superconductor/ferromagnet/superconductor junctions
• Josephson current and Andreev states in superconductor-half metal-superconductor heterostructures
• Josephson current in ballistic heterostructures with spin-active interfaces
• Scattering by magnetic and spin-orbit impurities and the Josephson current in superconductor-ferromagnet-superconductor junctions
• Effective spin-flip scattering in diffusive superconducting proximity systems with magnetic disorder
• Josephson tunnel junctions with ferromagnetic $\Fe_{0.75}\Co_{0.25}$ barriers
• Josephson effect in thin-film superconductor/insulator/superconductor junctions with misaligned in-plane magnetic fields
• 0-pi transition in SFS junctions with strongly spin-dependent scattering

Cited by in corpus (44)

• Spin-polarized supercurrents for spintronics: a review of current progress
• Optimization of spin-triplet supercurrent in ferromagnetic Josephson junctions
• Anomalous Josephson current through a ferromagnetic trilayer junction
• Signature of odd-frequency pairing correlations induced by a magnetic interface
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• Josephson effect and spin-triplet pairing correlations in SF1F2S junctions
• Long-Range Superharmonic Josephson Current
• Long-range spin-triplet proximity effect in Josephson junctions with multilayered ferromagnets
• Spin-triplet Supercurrent through Inhomogeneous Ferromagnetic Trilayers
• Charge and Spin Currents in Ferromagnetic Josephson junctions
• Ferromagnetic Materials for Josephson π Junctions
• Magnetic-coupling-dependent spin-triplet supercurrents in helimagnet/ferromagnet Josephson junctions
• Evidence for spin-triplet superconducting correlations in metal-oxide heterostructures with non-collinear magnetization
• Proximity Induced Vortices and Long-Range Triplet Supercurrents in Ferromagnetic Josephson Junctions and Spin Valves
• Phase Control in a Spin-Triplet SQUID
• Andreev reflection at half-metal-superconductor interfaces with non-uniform magnetization
• Spin Controlled Coexistence of 0 and π States in SFSFS Josephson Junctions
• Spin-polarized Josephson and quasiparticle currents in superconducting spin-filter tunnel junctions
• Inducing odd-frequency triplet superconducting correlations in a normal metal
• Area-dependence of spin-triplet supercurrent in ferromagnetic Josephson junctions
• Long-range proximity effect for opposite-spin pairs in S/F heterostructures under non-equilibrium quasiparticle distribution
• Spin-triplet supercurrent in Josephson junctions containing a synthetic antiferromagnet with perpendicular magnetic anisotropy
• Spin-memory loss at Co/Ru interfaces
• Spin-polarized triplet supercurrent in Josephson junctions with perpendicular ferromagnetic layers
• Signature of the long range triplet proximity effect in the density of states
• Long-range spin current driven by superconducting phase difference in a Josephson junction with double layer ferromagnets
• Magnetization induced by odd-frequency spin-triplet Cooper pairs in a Josephson junction with metallic trilayers
• Influence of the spin-dependent quasiparticle distribution on the Josephson current through a ferromagnetic weak link
• Impurity-assisted Andreev reflection at a spin-active half-metal-superconductor interface
• Magnetization Reversal by Tuning Rashba Spin-Orbit Interaction and Josephson Phase in a Ferromagnetic Josephson Junction
• Triplet supercurrent due to spin-active zones in a Josephson junction
• Anomalous supercurrent modulated by interfacial magnetizations in Josephson junctions with ferromagnetic bilayers
• Stationary Josephson effect in a short multi-terminal junction
• Long-Range Superconducting Proximity Effect in Nickel Nanowires
• Non-constant geometric curvature for tailored spin-orbit coupling and chirality in superconductor-magnet heterostructures
• Interference phenomena in Josephson junctions with ferromagnetic bilayers: Spin-triplet correlations and resonances
• On the Meissner Effect of the Odd-Frequency Superconductivity with Critical Spin Fluctuations: Possibility of Zero Field FFLO pairing
• Peculiar long-range supercurrent in SFS junction containing a noncollinear magnetic domain in the ferromagnetic region
• Theoretical study of magnetism induced by proximity effect in a ferromagnetic Josephson junction with a normal metal
• Long-Range triplet Josephson Current driven by the bias voltage
• Perturbative Analysis of the Field-Free Josephson Diode Effect in a Multilayered Josephson Junction
• Controlling superconducting spin flow with spin-flip immunity using a single homogeneous ferromagnet
• Spin Josephson diode effect induced by higher-harmonic spin Josephson currents in a diffusive Josephson junction
• Long-range superharmonic Josephson current and spin-triplet pairing correlations in a junction with ferromagnetic bilayers