Interaction-induced Renormalization of Andreev Reflection
arXiv:cond-mat/0608017 · doi:10.1103/PhysRevLett.97.237006
Abstract
We analyze the charge transport between a one-dimensional weakly interacting electron gas and a superconductor within the scaling approach in the basis of scattering states. We derive the renormalization group equations, which fully account for the intrinsic energy dependence due to Andreev reflection. A strong renormalization of the corresponding reflection phase is predicted even for a perfectly transparent metal-superconductor interface. The interaction-induced suppression of the Andreev conductance is shown to be highly sensitive to the normal state resistance, providing a possible explanation of experiments with carbon-nanotube/superconductor junctions by Morpurgo et al. [Science 286, 263 (2001)].
4 pages, 2 figures
References in corpus (11)
- Random-Matrix Theory of Quantum Transport
- Tunneling in One-Dimensional non-Luttinger Electron Liquid
- Junction of several weakly interacting quantum wires: a renormalization group study
- Resonant tunneling of interacting electrons in a one-dimensional wire
- Josephson current through a Luttinger liquid
- Transport of interacting electrons through a double barrier in quantum wires
- DC and AC Josephson Effect in a Superconductor-Luttinger Liquid-Superconductor System
- Anomalous density of states of a Luttinger liquid in contact with a superconductor
- Andreev current in finite sized carbon nanotubes
- Properties of superconductor - Luttinger liquid hybrid systems
- Nonmonotonic behavior of resistance in a superconductor-Luttinger liquid junction
Cited by in corpus (17)
- Positive noise cross-correlations in superconducting hybrids: Roles of interfaces and interactions
- Andreev reflection through Fano resonances in molecular wires
- Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids
- Josephson current through a long quantum wire
- Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires
- Spintronics with NSN Junction of one-dimensional quantum wires : A study of Pure Spin Current and Magnetoresistance
- Dual fermionic variables and renormalization group approach to junctions of strongly interacting quantum wires
- The dc Josephson current in a long multi-channel quantum wire
- A fermionic approach to tunneling through junctions of multiple quantum wires
- A systematic stability analysis of the renormalisation group flow for the normal-superconductor-normal junction of Luttinger liquid wires
- Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
- Transport across a system with three p-wave superconducting wires: effects of Majorana modes and interactions
- Andreev reflection in normal metal/charge-4e superconductor junctions
- Electron-electron interaction effects on transport through mesoscopic superconducting hybrid junctions
- Conductance of Interacting Quasi-One-Dimensional Electron Gas with a Scatterer
- AC Josephson current and supercurrent noise through one-dimensional correlated electron systems
- Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors