Random Scattering Matrices and the Circuit Theory of Andreev Conductances
arXiv:cond-mat/9608084 · doi:10.1209/epl/i1997-00230-6
Abstract
The conductance of a normal-metal mesoscopic system in proximity to superconducting electrode(s) is calculated. The normal-metal part may have a general geometry, and is described as a ``circuit'' with ``leads'' and ``junctions''. The junctions are each ascribed a scattering matrix which is averaged over the circular orthogonal ensemble, using recently-developed techniques. The results for the electrical conductance reproduce and extend Nazarov's circuit theory, thus bridging between the scattering and the bulk approaches. The method is also applied to the heat conductance.
12 pages, RevTeX, including 2 figures with epsf
References in corpus (6)
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- Diffusive conductors as Andreev interferometers
- Kinetic equation approach to diffusive superconducting hybrid devices
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Cited by in corpus (6)
- Novel Circuit Theory of Andreev Reflection
- Nonequilibrium Josephson-like effects in wide mesoscopic S-N-S junctions
- Reentrant behavior in the superconducting phase-dependent resistance of a disordered 2-dimensional electron gas
- Andreev Conductance of Chaotic and Integrable Quantum Dots
- Macroscopic Resonant Tunneling through Andreev Interferometers
- Quasiclassical circuit-theory of contiguous disordered multiband superconductors