Nonlinearity in NS transport: scattering matrix approach

Abstract

A general formula for the current through a disordered normal--superconducting junction is derived, which is valid at finite temperature and includes the full voltage dependence. The result depends on a multichannel scattering matrix, which describes elastic scattering in the normal region, and accounts for the Andreev scattering at the NS interface. The symmetry of the current with respect to sign reversal in the subgap regime is discussed. The Andreev approximation is used to derive a spectral conductance formula, which applies to voltages both below and above the gap. In a case study the spectral conductance formula is applied to the problem of an NINIS double barrier junction.

26 pages, 4 Postscript figures, Latex, to be published in Phys. Rev. B

References in corpus (7)

• Gauge invariant nonlinear electric transport in mesoscopic conductors
• Subgap Conductivity of a Superconducting-Normal Tunnel Interface
• Diffusive conductors as Andreev interferometers
• Long-Range Coherence in a Mesoscopic Metal near a Superconducting Interface
• Reflectionless Tunneling Through a Double-Barrier NS Junction
• What is the Thouless Energy for Ballistic Systems?
• Weak Localization Coexisting with a Magnetic Field in a Normal-Metal--Superconductor Microbridge

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• Geometrical enhancement of the proximity effect in quantum wires with extended superconducting tunnel contacts
• Theory of charge transport in diffusive normal metal / conventional superconductor point contacts
• Enhancement of parametric pumping due to Andreev reflection
• Quantization of adiabatic pumped charge in the presence of superconducting lead
• Nonlinear transport theory for hybrid normal-superconducting devices
• Phase-tunable Majorana bound states in a topological N-SNS junction
• Finite voltage shot noise in normal-metal - superconductor junctions
• Conductance and current noise of a superconductor/ferromagnet quantum point contact
• Optimal quantum pump in the presence of a superconducting lead
• Influence of magnetic impurities on charge transport in diffusive-normal-metal / superconductor junctions
• Mesoscopic proximity effect in double barrier Superconductor/Normal Metal junctions
• Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
• Andreev reflection and enhanced subgap conductance in NbN/Au/InGaAs-InP junctions
• Proximity-induced sub-gaps in Andreev billiards
• Nonmetallic thermal transport in low-dimensional proximity structures with partially preserved time-reversal symmetry in a magnetic field
• Crossed Andreev reflection versus electron transfer in graphene nanoribbons
• Conductance asymmetries in mesoscopic superconducting devices due to finite bias
• Effective Random Matrix Theory description of chaotic Andreev billiards
• Excitation spectra for Andreev billiards of Box and Disk geometries
• Electron-boson-interaction induced particle-hole symmetry breaking of conductance into subgap states in superconductors
• A logarithmic contribution to the density of states of rectangular Andreev billiards
• Divergent beams of nonlocally entangled electrons emitted from hybrid normal-superconducting structures
• Influence of impurity-scattering on tunneling conductance in d-wave superconductors with broken time reversal symmetry
• Conductance enhancement in quantum point contact-semiconductor-superconductor devices
• Andreev bound states for cake shape superconducting-normal systems
• Nonlinear Transport through NS Junctions due to Imperfect Andreev Reflection
• Is the `Finite Bias Anomaly' in planar GaAs-Superconductor junctons caused by point-contact like structures?
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• Conductance matrix symmetries of multiterminal semiconductor-superconductor devices
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