Solitary excitations in discrete two-dimensional nonlinear Schrodinger models with dispersive dipole-dipole interactions

Peter Leth Christiansen, Yuri Borisovich Gaididei, M. Johansson, Kim Rasmussen, Vladimir Mezentsev, Jens Juul Rasmussen

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    Abstract

    The dynamics of discrete two-dimensional nonlinear Schrodinger models with long-range dispersive interactions is investigated. In particular, we focus on the cases where the dispersion arises from a dipole-dipole interaction, assuming the dipole moments at each lattice site to be aligned either in the lattice plane (anisotropic case) or perpendicular to the lattice plane (isotropic case). We investigate the nature of the linear dispersion relation for these two cases, and derive a criterion for the modulational instability of a plane wave with respect to long-wavelength perturbations. Furthermore, we study the on-site localized stationary states of the system numerically and analytically using a variational approach. In general, the narrow, intrinsically localized states are found to be stable, while broad, "continuumlike" excitations are unstable and may either collapse into intrinsically localized modes or disperse when a small perturbation is applied.
    Original languageEnglish
    JournalPhysical Review B Condensed Matter
    Volume57
    Issue number18
    Pages (from-to)11303-11318
    ISSN0163-1829
    DOIs
    Publication statusPublished - 1998

    Bibliographical note

    Copyright (1998) by the American Physical Society.

    Keywords

    • REGIMES
    • SYSTEMS
    • WAVE COLLAPSE
    • INTRINSIC LOCALIZED MODES
    • INSTABILITY
    • RANGE INTERPARTICLE INTERACTIONS
    • 2-DIMENSIONAL ANHARMONIC LATTICES
    • DYNAMICS
    • SOLITONS
    • EQUATIONS

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