Transfer-matrix description of heterostructures involving superconductors and ferromagnets

Abstract

Based on the technique of quasiclassical Green's functions, we construct a theoretical framework for describing heterostructures consisting of superconductors and/or spin-polarized materials. The necessary boundary conditions at the interfaces separating different metals are formulated in terms of hopping amplitudes in a t-matrix approximation. The theory is applicable for an interface with arbitrary transmission and exhibiting scattering with arbitrary spin dependence. Also, it can be used in describing both ballistic and diffusive systems. We establish the connection between the standard scattering-matrix approach and the existing boundary conditions, and demonstrate the advantages offered by the t-matrix description.

9 pages, 2 eps-figures, RevTex4

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• Spin-dependent Cooper Pair Phase and Pure Spin Supercurrents in Strongly Polarized Ferromagnets
• General Boundary Conditions for Quasiclassical Theory of Superconductivity in the Diffusive Limit: Application to Strongly Spin-polarized Systems
• Nanospintronics with carbon nanotubes
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• The scattering problem in non-equilibrium quasiclassical theory of metals and superconductors: general boundary conditions and applications
• Density of states and supercurrent in diffusive SNS junctions: role of nonideal interfaces and spin-flip scattering
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• Nonequilibrium Superconductivity near Spin Active Interfaces
• Giant thermoelectric effects in a proximity-coupled superconductor-ferromagnet device
• Proximity effect between two superconductors spatially resolved by scanning tunneling spectroscopy
• Superconducting proximity effect in a diffusive ferromagnet with spin-active interfaces
• Spin-active interfaces and unconventional pairing in half-metal$\mid$superconductor junctions
• Magnetoresistance of a quantum dot with spin-active interfaces
• Theory of Nonequilibrium Spin Transport and Spin Transfer Torque in Superconducting-Ferromagnetic Nanostructures
• Theory of superconductor-ferromagnet point contact spectra: the case of strong spin polarization
• Controllable generation of a spin-triplet supercurrent in a Josephson spin-valve
• Triplet Cooper pairs induced in diffusive s-wave superconductors interfaced with strongly spin-polarized magnetic insulators or half-metallic ferromagnets
• Spectroscopy and critical temperature of diffusive superconducting/ferromagnetic hybrid structures with spin-active interfaces
• The role of interface transparency and spin-dependent scattering in diffusive ferromagnet/superconductor heterostructures
• Non-equilibrium effects in a Josephson junction coupled to a precessing spin
• Keldysh study of point-contact tunneling between superconductors
• Proximity effect in ferromagnet/superconductor hybrids: from diffusive to ballistic motion
• Theory of Andreev Bound States in S-F-S Junctions and S-F Proximity Devices
• Supercurrent and Andreev bound state dynamics in superconducting quantum point contacts under microwave irradiation
• Normal metal tunnel junction-based superconducting quantum interference proximity transistor: the N-SQUIPT
• Incomplete Andreev reflection in a clean Superconductor/Ferromagnet/Superconductor junction
• Conductance and current noise of a superconductor/ferromagnet quantum point contact
• Dynamics of spin transport in voltage-biased Josephson junctions
• Proximity effect gaps in S/N/FI structures
• Crossover between short and long range proximity effects in SFS junctions with Ni-based ferromagnets
• Spin-polarized Shapiro steps and spin-precession-assisted multiple Andreev reflection
• Spin-precession-assisted supercurrent in a superconducting quantum point contact coupled to a single-molecule magnet
• Transfer-matrix approach to multiband Josephson junctions
• The quasiclassical theory for interfaces with spin--orbit coupling
• Transport in multi-terminal superconductor/ferromagnet junctions having spin-dependent interfaces
• Effect of a spin-active interface on proximity-induced superconductivity in topological insulators
• Spin-flip scattering and non-ideal interfaces in dirty ferromagnet/superconductor junctions
• Anomalous inverse proximity effect in unconventional-superconductor junctions
• Theory of quantum-geometric charge and spin Josephson diode effects in strongly spin-polarized hybrid structures with noncoplanar spin textures
• Spin transport and Spin Tunnelling Magneto-Resistance (STMR) of F$|$NCSC$|$F spin valve
• 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
• Spin polarized current and Andreev transmission in planar superconducting/ferromagnetic Nb/Ni junctions