Minigap in superconductor-ferromagnet junctions with inhomogeneous magnetization

Abstract

We consider the minigap in a disordered ferromagnet (F) in contact with a superconductor (S) in the situation when the magnetization of the F layer is inhomogeneous in space and noncollinear. If the magnetization is strongly inhomogeneous, it effectively averages out, and the minigap survives up to the exchange field $h_c(L/a)E_{Th}$, where $L$ is the thickness of the F layer, $a$ is the scale on which the magnetization varies, and $E_{Th}$ is the Thouless energy. Technically, we use the "triplet" version of the Usadel equations including both singlet and triplet components of the Green's functions. In many cases, the effect of disordered magnetization may be effectively included in the conventional Usadel equations as the spin-flip scattering term. In the case of low-dimensional magnetic inhomogeneities (we consider spiral magnetization as an example), however, the full set of "triplet" equations must be solved.

6 pages, 2 figures. Version 2: extended (to appear in Phys. Rev. B)

References in corpus (6)

• Proximity effects in superconductor-ferromagnet heterostructures
• Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
• Switching superconductivity in S/F bilayers by multiple-domain structures
• Long-range odd triplet superconductivity in SF structures with Neel walls
• Superharmonic Josephson relation at 0-/$\pi$-junction transition
• Minigap in a SN junction with paramagnetic impurities

Cited by in corpus (42)

• Spin-orbit coupling as a source of long-range triplet proximity effect in superconductor-ferromagnet hybrid structures
• Superconducting triplet spin valve
• Singlet-triplet conversion and the long-range proximity effect in superconductor-ferromagnet structures with generic spin dependent fields
• Josephson effect due to the long-range odd-frequency triplet superconductivity in SFS junctions with Neel domain walls
• Odd spin-triplet superconductivity in a multilayered superconductor-ferromagnet Josephson junction
• Theory of superconducting and magnetic proximity effect in S$\mid$F structures with inhomogeneous magnetization textures and spin-active interfaces
• Josephson current in a superconductor-ferromagnet junction with two non-collinear magnetic domains
• Triplet Josephson effect with magnetic feedback
• Nematic versus ferromagnetic spin filtering of triplet Cooper pairs in superconducting spintronics
• Superconducting spin-valve effect in heterostructures with ferromagnetic Heusler alloy layers
• Josephson current in a superconductor -- ferromagnet -- superconductor junction with in-plane ferromagnetic domains
• Inducing odd-frequency triplet superconducting correlations in a normal metal
• Tuning odd triplet superconductivity by spin pumping
• Electron cooling in diffusive normal metal - superconductor tunnel junctions with a spin-valve ferromagnetic interlayer
• Current-voltage characteristics of tunnel Josephson junctions with a ferromagnetic interlayer
• Superconductivity near a magnetic domain wall
• Topological superconductivity in nanowires proximate to a diffusive superconductor-magnetic insulator bilayer
• Josephson effect through magnetic skyrmion
• Subgap states in disordered superconductors
• Spin pumping between noncollinear ferromagnetic insulators through thin superconductors
• Phase-dependent Spin Polarization of Cooper Pairs in Magnetic Josephson Junctions
• On the possibility of a long range proximity effect in a ferromagnetic nanoparticle
• Effective spin-flip scattering in diffusive superconducting proximity systems with magnetic disorder
• Long Range Triplet Josephson Current and $0-\pi$ Transition in Tunable Domain Walls
• Quasiclassical theory for antiferromagnetic metals
• Phase-controlled proximity-effect in ferromagnetic Josephson junctions: calculation of DOS and electronic specific heat
• Stationary Josephson effect in a short multi-terminal junction
• Quasiparticle density of states and triplet correlations in superconductor/ferromagnetic-insulator structures across a sharp domain wall
• Cascading Proximity Effects in Rotating Magnetizations
• Floquet engineering triplet superconductivity in superconductors with spin-orbit coupling or altermagnetism
• Anomalous Josephson Hall effect in magnet/triplet superconductor junctions
• Signatures of spin-triplet Cooper pairing in the density of states of spin-textured superconductor-ferromagnet bilayers
• Charge and Spin Supercurrents in Magnetic Josephson Junctions with Spin Filters and Domain Walls
• Magnon influence on the superconducting density of states in superconductor$-$ferromagnetic-insulator bilayers
• Classification of magnetic inhomogeneities and $0-\pi$ transitions in superconducting-magnetic hybrid structures
• The role of canting and depleted-triplet minima in superconducting spin valve structures
• Charge pumping due to triplet vector chirality in ferromagnet/triplet superconductor junctions
• Chirality and spin transformation of triplet Cooper pairs upon interaction with singlet condensate
• Josephson effect in multi-terminal superconductor-ferromagnet junctions coupled via triplet components
• Percolative supercurrent in superconductor-ferromagnetic insulator bilayers
• Minigap suppression in S(N/F)S junctions
• Supercurrent-induced phonon angular momentum