Angle dependence of Andreev scattering at semiconductor-superconductor interfaces

Asger Mortensen, Karsten Flensberg, Antti-Pekka Jauho

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    Abstract

    We study the angle dependence of the Andreev scattering at a semiconductor-superconductor interface, generalizing the one-dimensional theory of Blonder, Tinkham, and Klapwijk (BTK),An increase of the momentum parallel to the interface leads to suppression of the probability of Andreev reflection and increase of the probability of normal reflection. We show that in the presence of a Fermi velocity mismatch between the semiconductor and the superconductor the angles of incidence and transmission are related according to the well-known Snell's law in optics. As a consequence there is a critical angle of incidence above which only normal reflection exists. For two- and three-dimensional interfaces a lower excess current compared to ballistic transport with perpendicular incidence is found. Thus, the one-dimensional BTK model overestimates the barrier strength for two- and three-dimensional interfaces. [S0163-1829(99)01615-X].
    Original languageEnglish
    JournalPhysical Review B
    Volume59
    Issue number15
    Pages (from-to)10176-10182
    ISSN2469-9950
    DOIs
    Publication statusPublished - 1999

    Bibliographical note

    Copyright (1999) by the American Physical Society.

    Keywords

    • METAL
    • TRANSITION
    • ENERGY
    • TINKHAM
    • REFLECTION
    • CURRENTS
    • BLONDER
    • BOUNDARIES
    • POINT-CONTACT

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