Negative Length Orbits in Normal-Superconductor Billiard Systems

J. Cserti, G. Vattay, J. Koltai, F. Taddei, and C. J. Lambert
Phys. Rev. Lett. 85, 3704 – Published 23 October 2000
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Abstract

The path-length spectra of mesoscopic systems including diffractive scatterers and connected to a superconductor are studied theoretically. We show that the spectra differ fundamentally from that of normal systems due to the presence of Andreev reflection. It is shown that negative path lengths should arise in the spectra as opposed to the normal system. To highlight this effect we carried out both quantum mechanical and semiclassical calculations for the simplest possible diffractive scatterer. The most pronounced peaks in the path-length spectra of the reflection amplitude are identified by the routes that the electron and/or hole travels.

  • Received 20 March 2000

DOI:https://doi.org/10.1103/PhysRevLett.85.3704

©2000 American Physical Society

Authors & Affiliations

J. Cserti, G. Vattay, and J. Koltai

  • Eötvös University, Department of Physics of Complex Systems, H-1117 Budapest, Pázmány Péter sétány 1/A, Hungary

F. Taddei and C. J. Lambert

  • School of Physics and Chemistry, Lancaster University, Lancaster LA14YB, United Kingdom

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Vol. 85, Iss. 17 — 23 October 2000

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