Current-voltage relation for thin tunnel barriers: Parabolic barrier model

Kim Hansen, Mads Brandbyge

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    Abstract

    We derive a simple analytic result for the current-voltage curve for tunneling of electrons through a thin uniform insulating layer modeled by a parabolic barrier. Our model, which goes beyond the Wentzel–Kramers–Brillouin approximation, is applicable also in the limit of highly transparant barriers subject to high voltages, and thus provides a more realistic description for this situation compared to the widely used rectangular barrier model. ©2004 American Institute of Physics.
    Original languageEnglish
    JournalJournal of Applied Physics
    Volume95
    Issue number7
    Pages (from-to)3582-3586
    ISSN0021-8979
    DOIs
    Publication statusPublished - 2004

    Bibliographical note

    Copyright (2004) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

    Keywords

    • CONDUCTANCE
    • FORMULA
    • INSULATING FILM
    • ELECTRON-TRANSPORT
    • SELF-ASSEMBLED MONOLAYERS

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