Simulations of interference effects in gated two-dimensional ballistic electron systems

Antti-Pekka Jauho, K.N. Pichugin, A.F. Sadreev

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    Abstract

    We present detailed simulations addressing recent electronic interference experiments,where a metallic gate is used to locally modify the Fermi wavelength of the charge carriers. Our numerical calculations are based on a solution of the one-particle Schrodinger equation for a realistic model of the actual sample geometry, including a Poison equation-based determination of the potential due to the gate. The conductance is determined with the multiprobe Landauer-Buttiker formula, and in general we find conductance vs gate voltage characteristics, which closely resemble the experimental traces. A detailed examination based on quantum-mechanical streamlines suggests that the simple one-dimensional semiclassical model often used to describe the experiments has only a limited range of validity, and that certain ''unexpected" periodicities should not be assigned any particular significance, they arise due to the complicated multiple scattering processes occurring in certain sample geometries.
    Original languageEnglish
    JournalPhysical Review B
    Volume60
    Issue number11
    Pages (from-to)8191-8198
    ISSN2469-9950
    DOIs
    Publication statusPublished - 1999

    Bibliographical note

    Copyright (1999) by the American Physical Society.

    Keywords

    • QUANTUM
    • CONDUCTANCE
    • GAS
    • FLOW
    • CIRCULAR BENDS
    • WAVE-GUIDES

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