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

Research output: Contribution to journalJournal article – Annual report year: 1998Researchpeer-review

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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.

CitationsWeb of Science® Times Cited: No match on DOI

    Research areas

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

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