Induced Triplet Pairing in clean s-wave Superconductor/Ferromagnet layered structures

Abstract

We study induced triplet pairing correlations in clean ferromagnet/superconductor/ferromagnet heterostructures. The pairing state in the superconductor is the conventional singlet s-wave, and the angle $\alpha$ between the magnetizations of the two ferromagnetic layers is arbitrary. We use a numerical fully self-consistent solution of the microscopic equations and obtain the time-dependent triplet correlations via the Heisenberg equations of motion. We find that in addition to the usual singlet correlations, triplet correlations, odd in time as required by the Pauli principle, are induced in both the ferromagnets and the superconductor. These time-dependent correlations are largest at times of order of the inverse of the Debye cutoff frequency, ${\omega }_D$, and we find that within that time scale they are often spatially very long ranged. We discuss the behavior of the characteristic penetration lengths that describe these triplet correlations. We also find that the ferromagnets can locally magnetize the superconductor near the interface, and that the local magnetization then undergoes strongly damped oscillations. The local density of states exhibits a variety of energy signatures, which we discuss, as a function of ferromagnetic strength and $\alpha$.

12 pages including 11 figures

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• Theory of superconducting and magnetic proximity effect in S$\mid$F structures with inhomogeneous magnetization textures and spin-active interfaces
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• Tunable Anomalous Andreev Reflection and Triplet Pairings in Spin Orbit Coupled Graphene
• Generation of a superconducting vortex via Néel skyrmions
• Meissner Effect Probing of Odd-Frequency Triplet Pairing in Superconducting Spin Valves
• Odd triplet superconductivity in superconductor-ferromagnet structures with a narrow domain wall
• Spin-active interfaces and unconventional pairing in half-metal$\mid$superconductor junctions
• Spin-triplet Supercurrent through Inhomogeneous Ferromagnetic Trilayers
• Charge and Spin Currents in Ferromagnetic Josephson junctions
• Half-Metallic Superconducting Triplet Spin MultiValves
• Theory of superconductor-ferromagnet point contact spectra: the case of strong spin polarization
• Critical supercurrent and ${\varphi }_0$ state for probing a persistent spin helix
• Proximity effects and triplet correlations in Ferromagnet/Ferromagnet/Superconductor nanostructures
• Generation of pure superconducting spin current in magnetic heterostructures via non-locally induced magnetism due to Landau Fermi-liquid effects
• Nematic versus ferromagnetic spin filtering of triplet Cooper pairs in superconducting spintronics
• Supra-oscillatory critical temperature dependence of Nb-Ho bilayers
• Emergence of Triplet Correlations in Superconductor/Half Metallic Nanojunctions with Spin Active Interfaces
• Topological superconductivity and Majorana fermions in hybrid structures involving cuprate high-T_c superconductors
• Proximity Effects in Conical-Ferromagnet/Superconductor bilayers
• Proximity effect in ferromagnet/superconductor hybrids: from diffusive to ballistic motion
• Tunneling Conductance and Spin Transport in Clean Ferromagnet-Ferromagnet-Superconductor Heterostructures
• Induced Energy Gap in Finite-Sized Superconductor/Ferromagnet Hybrids
• Evidence for Induced Magnetization in Superconductor-Ferromagnet Hetero-structures: a Scanning Tunnelling Spectroscopy Study
• Odd triplet superconductivity induced by the moving condensate
• Long-Range triplet Josephson Current Modulated by the Interface Magnetization Texture
• Spin Transport in Half-Metallic Ferromagnet-Superconductor Junctions
• Intrinsic Superspin Hall Current
• Triplet proximity effect and odd-frequency pairing in graphene
• Signature of the long range triplet proximity effect in the density of states
• Induced P-wave superfluidity within full energy-momentum dependent Eliashberg approximation in asymmetric dilute Fermi gases
• Superconducting proximity effects in metals with a repulsive pairing interaction
• Effective spin-flip scattering in diffusive superconducting proximity systems with magnetic disorder
• Magnetization induced by odd-frequency spin-triplet Cooper pairs in a Josephson junction with metallic trilayers
• Proximity effect in superconductor/conical magnet/ferromagnet heterostructures
• Majorana zero modes in spintronics devices
• Tunable superconducting critical temperature in ballistic hybrid structures with strong spin-orbit coupling
• Magnetization Reversal by Tuning Rashba Spin-Orbit Interaction and Josephson Phase in a Ferromagnetic Josephson Junction
• Proximity-Induced Mixed Odd and Even Frequency Pairings in Monolayer NbSe${}_2$
• Direct and inverse superspin Hall effect in two-dimensional systems: Electrical detection of spin supercurrents
• Spin current injection via equal-spin Cooper pairs in ferromagnet/superconductor heterostructures
• Supercurrent-induced long-range triplet correlations and controllable Josephson effect in superconductor/ferromagnet hybrids with extrinsic SOC
• Proximity Effect in Superconducting Heterostructures with Strong Spin-Orbit Coupling and Spin Splitting
• Spin transport and Spin Tunnelling Magneto-Resistance (STMR) of F$|$NCSC$|$F spin valve
• Stealth Majorana Zero Mode in a Trilayer Heterostructure MnTe/Bi2Te3/Fe(Te,Se)
• Signatures of enhanced spin-triplet superconductivity induced by interfacial properties
• Effect of Rashba spin-orbit coupling, magnetization and mixing of gap parameter on tunnelling conductance in F$|$NCSC junction of an F$|$S$|$F spin valve
• Classification of magnetic inhomogeneities and $0-\pi$ transitions in superconducting-magnetic hybrid structures
• Peculiar long-range supercurrent in SFS junction containing a noncollinear magnetic domain in the ferromagnetic region
• Spin-flipping with Holmium: Case study of proximity effect in superconductor/ferromagnet/superconductor heterostructures
• Magnetism induced by nonlocal spin-entangled electrons in a superconducting spin-valve
• 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
• Long-range superharmonic Josephson current and spin-triplet pairing correlations in a junction with ferromagnetic bilayers
• Electron-hole coherence in core-shell nanowires with partial proximity induced superconductivity
• Phase separation and proximity effects in itinerant ferromagnet-superconductor heterostructures
• Tunneling conductance in half-metal/conical magnet/superconductor junctions in the adiabatic and non-adiabatic regime: self-consistent calculations
• AC/DC spin current in ferromagnet/superconductor/normal metal trilayer systems