The scattering problem in non-equilibrium quasiclassical theory of metals and superconductors: general boundary conditions and applications

Abstract

I derive a general set of boundary conditions for quasiclassical transport theory of metals and superconductors that is valid for equilibrium and non-equilibrium situations and includes multi-band systems, weakly and strongly spin-polarized systems, and disordered systems. The formulation is in terms of the normal state scattering matrix. Various special cases for boundary conditions are known in the literature, that are however limited to either equilibrium situations or single band systems. The present formulation unifies and extends all these results. In this paper I will present the general theory in terms of coherence functions and distribution functions and demonstrate its use by applying it to the problem of spin-active interfaces in superconducting devices and the case of superconductor/half-metal interface scattering.

23 pages, 11 figures, typos corrected, font changes, Ref.31b added

References in corpus (16)

• A spin triplet supercurrent through the half-metallic ferromagnet CrO2
• Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
• Spin-dependent Cooper Pair Phase and Pure Spin Supercurrents in Strongly Polarized Ferromagnets
• Pairing symmetry conversion by spin-active interfaces in superconducting junctions
• Induced Triplet Pairing in clean s-wave Superconductor/Ferromagnet layered structures
• Josephson coupling through ferromagnetic heterojunctions with noncollinear magnetizations
• Quantum limit of the triplet proximity effect in half-metal - superconductor junctions
• Odd triplet superconductivity in superconductor-ferromagnet structures with a narrow domain wall
• Spin current and spin accumulation near a Josephson junction between a singlet and triplet superconductor
• Theory of Nonequilibrium Spin Transport and Spin Transfer Torque in Superconducting-Ferromagnetic Nanostructures
• Josephson current and Andreev states in superconductor-half metal-superconductor heterostructures
• Josephson current in ballistic heterostructures with spin-active interfaces
• Dynamics of spin transport in voltage-biased Josephson junctions
• Transfer-matrix approach to multiband Josephson junctions
• Josephson effect in thin-film superconductor/insulator/superconductor junctions with misaligned in-plane magnetic fields
• Disordered Josephson Junctions of d-Wave Superconductors

Cited by in corpus (74)

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• Non-Abelian gauge fields in the gradient expansion: generalized Boltzmann and Eilenberger equations
• Odd spin-triplet superconductivity in a multilayered superconductor-ferromagnet Josephson 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
• Giant thermoelectric effects in a proximity-coupled superconductor-ferromagnet device
• Electronic transport through ferromagnetic and superconducting junctions with spin-filter tunneling barriers
• Paramagnetic instability of small topological superconductors
• Charge transport in InAs nanowire Josephson junctions
• Quasiclassical theory of magnetoelectric effects in superconducting heterostructures in the presence of the spin-orbit coupling
• Theory of superconductor-ferromagnet point contact spectra: the case of strong spin polarization
• Triplet Cooper pairs induced in diffusive s-wave superconductors interfaced with strongly spin-polarized magnetic insulators or half-metallic ferromagnets
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Spontaneous edge current in a small chiral superconductor with a rough surface
• Andreev reflection at half-metal-superconductor interfaces with non-uniform magnetization
• Generation of pure superconducting spin current in magnetic heterostructures via non-locally induced magnetism due to Landau Fermi-liquid effects
• Inverse proximity effect and influence of disorder on triplet supercurrents in strongly spin-polarized ferromagnets
• Is CrO${}_2$ Fully Spin-Polarized? - Analysis of Andreev Spectra and Excess Current
• Spin current in topologically trivial and nontrivial noncentrosymmetric superconductors
• Non-equilibrium effects in a Josephson junction coupled to a precessing spin
• Spin polarization of (Ga,Mn)As measured by Andreev Spectroscopy: The role of spin-active scattering
• Robustness of Spin-Triplet Pairing and Singlet-Triplet Pairing Crossover in Superconductor/Ferromagnet Hybrids
• Theory of Andreev Bound States in S-F-S Junctions and S-F Proximity Devices
• Spontaneously broken translational symmetry at edges of high-temperature superconductors: thermodynamics in magnetic field
• Time-reversal symmetry breaking state near the surface of $s_{\pm }$-superconductor
• Quasiclassical numerical method for mesoscopic superconductors: bound states in a circular d-wave island with a single vortex
• Model evidence of a superconducting state with a full energy gap in small cuprate islands
• Thermally induced spin-transfer torques in superconductor/ferromagnet bilayers
• Quasiclassical description of a superconductor with a spin density wave
• Quasiclassical theory of charge transport across mesoscopic normal metal-superconducting heterostructures with current conservation
• Andreev Bound States in Superconducting Films and Confined Superfluid He-3
• The inverse proximity effect in strong ferromagnet-superconductor structures
• Nonlocal conductance via overlapping Andreev bound states in ferromagnet-superconductor heterostructures
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Transport in multi-terminal superconductor/ferromagnet junctions having spin-dependent interfaces
• Phase Crystals
• Destruction of surface states of ($d_{zx}+i{d}_{yz}$)-wave superconductor by surface roughness: application to Sr${}_2$RuO${}_4$
• Models for supercritical motion in a superfluid Fermi liquid
• Impurity-assisted Andreev reflection at a spin-active half-metal-superconductor interface
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Spontaneous symmetry-breaking at surfaces of $d$-wave superconductors: influence of geometry and surface ruggedness
• Thermopower and thermophase in a $d$-wave superconductor
• SuperConga: an open-source framework for mesoscopic superconductivity
• Anomalous inverse proximity effect in unconventional-superconductor junctions
• Thermally induced spin torque and domain wall motion in superconductor/antiferromagnetic insulator bilayers
• A finite element method for the quasiclassical theory of superconductivity
• Spin current injection via equal-spin Cooper pairs in ferromagnet/superconductor heterostructures
• Spontaneous generation of fractional vortex-antivortex pairs at single edges of high-Tc superconductors
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Theory of quantum-geometric charge and spin Josephson diode effects in strongly spin-polarized hybrid structures with noncoplanar spin textures
• Band-mixing-mediated Andreev reflection of semiconductor holes
• Spin imbalance in hybrid superconducting structures with spin-active interfaces
• Tunnelling conductance of $d+ip$-wave superconductor
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Andreev bound states in superconductor/ferromagnet point contact Andreev reflection spectra
• Signatures of spin-triplet Cooper pairing in the density of states of spin-textured superconductor-ferromagnet bilayers
• Symmetry analysis of transport properties in helical superconductor junctions
• Reconstruction of the DOS at the end of a S/F bilayer
• Tunable ground states in helical $p$-wave Josephson junctions
• Non-local spin-sensitive electron transport in diffusive proximity heterostructures
• Spin-polarized currents and noise in NS junctions with Yu-Shiba-Rusinov impurities
• Multi-band Eilenberger theory of superconductivity: Systematic low-energy projection
• Josephson effect in spin-singlet superconductor/ferromagnetic insulator/spin-triplet superconductor junctions with helical $p$-wave states
• Spin-resolved Josephson diode effect through strongly spin-polarized conical magnets
• Theory of surface spectroscopy for noncentrosymmetric superconductors
• Order parameter sign-reversal near $s_{\pm }$-superconductor surface
• Spectral properties of superconductors with ferromagnetically ordered magnetic impurities
• Crossed Andreev reflection and spin-resolved non-local electron transport
• Fulde-Ferrell-Larkin-Ovchinnikov state in a superconducting thin film attached to a ferromagnetic cluster
• Self-consistent theory of current injection into $d$ and $d+is$ superconductors
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors