Anomalous density of states of a Luttinger liquid in contact with a superconductor

Abstract

We study the frequency and space dependence of the local tunneling density of states of a Luttinger liquid (LL) which is connected to a superconductor. This coupling {\em strongly} modifies the single-particle properties of the LL. It significantly enhances the density of states near the Fermi level, whereas this quantity vanishes as a power law for an isolated LL. The enhancement is due to the interplay between electron-electron interactions and multiple back-scattering processes of low-energy electrons at the interface between the LL and the superconductor. This anomalous behavior extends over large distances from the interface and may be detected by coupling normal probes to the system.

8 pages Revtex, two postscript figures

References in corpus (6)

• Long-Range Coherence in a Mesoscopic Metal near a Superconducting Interface
• Josephson Current and Proximity Effect in Luttinger Liquids
• Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension
• Josephson current through a Luttinger liquid
• Diamagnetic Response of Normal-metal -- Superconductor Double Layers
• Enhancement of the tunneling density of states in Tomonaga--Luttinger Liquids

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