Scaling Theory of Conduction Through a Normal-Superconductor Microbridge
arXiv:cond-mat/9403055 · doi:10.1103/PhysRevLett.72.2470
Abstract
The length dependence is computed of the resistance of a disordered normal-metal wire attached to a superconductor. The scaling of the transmission eigenvalue distribution with length is obtained exactly in the metallic limit, by a transformation onto the isobaric flow of a two-dimensional ideal fluid. The resistance has a minimum for lengths near l/Gamma, with l the mean free path and Gamma the transmittance of the superconductor interface.
8 pages, REVTeX-3.0, 3 postscript figures appended as self-extracting archive, INLO-PUB-940315
References in corpus (2)
Cited by in corpus (40)
- Random-Matrix Theory of Quantum Transport
- Phase coherent transport in hybrid superconducting nanostructures
- Resonant Andreev Tunneling in Strongly Interacting Quantum Dots
- Circuit theory of unconventional superconductor junctions
- Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
- Coherent Charge Transport in Metallic Proximity Structures
- Semiclassical theory of shot noise in mesoscopic conductors
- Doubled Shot Noise In Disordered Normal-Metal-Superconductor Junctions
- Theory of charge transport in diffusive normal metal / unconventional singlet superconductor contacts
- Quantum interference and supercurrent in multiple-barrier proximity structures
- Reflectionless Tunneling Through a Double-Barrier NS Junction
- Charge Pumping in Mesoscopic Systems coupled to a Superconducting Lead
- Theory of charge transport in diffusive normal metal / conventional superconductor point contacts
- Detection of current-induced spins by ferromagnetic contacts
- Shot-noise and conductance measurements of transparent superconductor / two-dimensional electron gas junctions
- Conductance Fluctuations, Weak Localization, and Shot Noise for a Ballistic Constriction in a Disordered Wire
- Universal shocks in random matrix theory
- Reflectionless tunneling in ballistic normal-metal--superconductor junctions
- Subgap current in superconducting tunnel junctions with diffusive electrodes
- Large thermoelectric effect in ballistic Andreev interferometers
- Influence of magnetic impurities on charge transport in diffusive-normal-metal / superconductor junctions
- Superconductive proximity effect in interacting disordered conductors
- Andreev reflection and enhanced subgap conductance in NbN/Au/InGaAs-InP junctions
- A Diagrammatic Theory of Random Scattering Matrices for Normal-Superconducting Mesoscopic Junctions
- Diffusive and ballistic motion in superconducting hybrid structures
- Scattering approach to Anderson localisation
- Coulomb Effects on Electron Transport and Shot Noise in Hybrid Normal-Superconducting Metallic Structures
- Transmission eigenvalues in random media with surface reflection
- Dephasing of Cooper pairs and subgap electron transport in superconducting hybrids
- Evidence of two-electron tunneling interference in Nb/InAs junctions
- Reflectionless tunneling in planar Nb/GaAs hybrid junctions
- Coherent transport in Nb/delta-doped-GaAs hybrid microstructures
- Influence of impurity-scattering on tunneling conductance in d-wave superconductors with broken time reversal symmetry
- Multiparticle tunneling in diffusive superconducting junctions
- Competition between electronic cooling and Andreev dissipation in a superconducting micro-cooler
- Current fluctuations in composite conductors: Beyond the second cumulant
- Bimodal distribution of delay times and splitting of the zero-bias conductance peak in a double-barrier normal-superconductor junction
- Decoherence of Cooper pairs and subgap magnetoconductance of superconducting hybrids
- Scaling theory for anomalous semiclassical quantum transport
- Phase coherent transport in hybrid superconducting structures: the case of d-wave superconductors