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Phys. Rev. Lett. 77, 3200–3203 (1996)

Anomalous Density of States of a Luttinger Liquid in Contact with a Superconductor

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C. Winkelholz1, Rosario Fazio2, F. W. J. Hekking3, and Gerd Schön1,4
1Institut für Theoretische Festkörperphysik, Universtität Karlsruhe, 76128 Karlsruhe, Germany
2Istituto di Fisica, Università di Catania, viale A. Doria 6, 95129 Catania, Italy
3Cavendish Laboratory, University of Cambridge, Madingley Road, Cambridge CB3 0HE, United Kingdom
4Department of Technical Physics, Helsinki University of Technology, 02150 Espoo, Finland

Received 30 April 1996; published in the issue dated 7 October 1996

We study the frequency and space dependence of the local tunneling density of states (DOS) of a Luttinger liquid (LL) connected to a superconductor. This coupling strongly modifies the single-particle properties of the LL. It significantly enhances the DOS 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 backscattering 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.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.3200
DOI:
10.1103/PhysRevLett.77.3200
PACS:
74.50.+r, 72.15.Nj