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Strong correlations in a model of a gauged (2+1)-dimensional nonlinear Schrödinger equation

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An Erratum to this article was published on 01 May 2001

Abstract

Phenomena caused by strong correlations between nonlinear modes in planar systems are briefly reviewed. The analysis is restricted to the model of a nonlinear Schrödinger equation. Stationary field distributions are found. The number of particles is obtained as a function of a parameter characterizing the degree of linking of the world lines of excitations. It is shown that, for small values of this parameter, a two-dimensional lattice is characterized by universal attraction, which can be a dynamical cause for the transition to the coherent state. The relation between the chiral nonlinear edge modes and breaking of the Galilei invariance in the system under consideration is discussed.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhni Novgorod, 603155, Russia

    A. P. Protogenov

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  1. A. P. Protogenov
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__________

Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 5, 2001, pp. 292–299.

Original Russian Text Copyright © 2001 by Protogenov.

An erratum to this article is available at http://dx.doi.org/10.1134/1.1386244.

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Protogenov, A.P. Strong correlations in a model of a gauged (2+1)-dimensional nonlinear Schrödinger equation. Jetp Lett. 73, 255–261 (2001). https://doi.org/10.1134/1.1371065

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