Two-dimensional effects in nonlinear Kronig-Penney models.

Yuri Borisovich Gaididei, Peter Leth Christiansen, Kim Rasmussen, Magnus Johansson

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    Abstract

    An analysis of two-dimensional (2D) effects in the nonlinear Kronig-Penney model is presented. We establish an effective one-dimensional description of the 2D effects, resulting in a set of pseudodifferential equations. The stationary states of the 2D system and their stability is studied in the framework of these equations. In particular it is shown that localized stationary states exist only in a finite interval of the excitation Dower.
    Original languageEnglish
    JournalPhysical Review B
    Volume55
    Issue number20
    Pages (from-to)13365-13368
    ISSN2469-9950
    DOIs
    Publication statusPublished - 1997

    Bibliographical note

    Copyright (1997) by the American Physical Society.

    Keywords

    • LOCALIZATION

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