Magnetism induced by nonlocal spin-entangled electrons in a superconducting spin-valve

Abstract

In the traditional view, the magnetic moment appearing in the superconducting region is induced by equal-spin triplet superconducting correlations in superconductor ($S$) ferromagnet ($F$) heterostructure with noncollinear magnetization. In this paper, we represent that in $NS{F}_1{F}_2$ ($N$--normal-metal) spin-valve structure the induced magnetic moment emerging in both the $S$ and $N$ regions can also be generated by Cooper pair splitting: one electron coherently tunnels from the $S$ layer into the $F_1$ layer, and the other one stays in the $S$ layer or tunnels into the $N$ layer. Two electrons are spatially separated from each other but their total spin ground state is entangled in this process. In contrast, the magnetic moment induced by the equal-spin triplet correlations hardly penetrates from the $S$ layer into the $N$ layer. In particular, by tuning the size of the exchange field and the thickness of the $F_1$ layer, one may control the direction of the induced magnetic moment in the $N$ layer. This interesting phenomenon can be attributed to the phase-shift obtained by the spin-entangled electrons. Our theoretical proposal will offer an effective way to control the entanglement of the nonlocal electrons, and also may provide possible explanations for previous and recent experimental observations [Stamopoulos et al 2005 Phys. Rev. B 72 212514; Ovsyannikov et al 2016 J. Exp. Theor. Phys. 122 738; Flokstra et al 2016 Nat. Phys. 12 57].

published version

References in corpus (22)

• A spin triplet supercurrent through the half-metallic ferromagnet CrO2
• Spin-polarized supercurrents for spintronics: a review of current progress
• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Critical Current Oscillations in Strong Ferromagnetic Pi-Junctions
• Evidence for Triplet Superconductivity in a Superconductor-Ferromagnet Spin Valve
• Beyond Moore's technologies: operation principles of a superconductor alternative
• Near-unity Cooper pair splitting efficiency
• Optimization of spin-triplet supercurrent in ferromagnetic Josephson junctions
• Observation of the Triplet Spin-Valve Effect in a Superconductor-Ferromagnet Heterostructure
• Inverse proximity effect in superconductor-ferromagnet bilayer structures
• Induced Triplet Pairing in clean s-wave Superconductor/Ferromagnet layered structures
• Angular dependence of superconductivity in superconductor / spin valve heterostructures
• Theory of superconducting and magnetic proximity effect in S$\mid$F structures with inhomogeneous magnetization textures and spin-active interfaces
• Remotely induced magnetism in a normal metal using a superconducting spin-valve
• Contact resistance dependence of crossed Andreev reflection
• Oscillations of Induced Magnetization in Superconductor-Ferromagnet Heterostructures
• Josephson current in diffusive multilayer superconductor/ferromagnet/superconductor junctions
• Magnetic moment manipulation by triplet Josephson current
• Anomalous polarization-dependent transport in nanoscale double-barrier superconductor/ferromagnet/superconductor junctions
• Long-Range triplet Josephson Current Modulated by the Interface Magnetization Texture
• Transport in multi-terminal superconductor/ferromagnet junctions having spin-dependent interfaces
• Magnetic proximity effect at interface between a cuprate superconductor and an oxide spin valve