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A lattice of electromagnetic solitons in a superlattice formed by a system of quantum dots

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Journal of Russian Laser Research Aims and scope

Abstract

Considering the Maxwell equations for the electromagnetic-field propagation in a solid with a three-dimensional superlattice of quantum dots linked by strong tunneling along one axis, we obtained a phenomenological equation in the form of the classical 2+1-dimensional sine-Gordon equation. Electrons were considered classically in the formalism of the Boltzmann kinetic equation for the distribution function. Solutions were obtained as a soliton lattice for the vector potential of the electric field. These lattices emerge as a consequence of the coherent change of the classical distribution function and the electric field generated by tunneling electrons in a system of quantum wells.

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Authors and Affiliations

  1. Laboratory of Nanotechnologies, Volgograd Institute of Business, Chaussée Aviatorov 1, Volgograd, 400075, Russia

    M. B. Belonenko & N. E. Meshcheryakova

Authors
  1. M. B. Belonenko
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  2. N. E. Meshcheryakova
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Correspondence to M. B. Belonenko.

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Belonenko, M.B., Meshcheryakova, N.E. A lattice of electromagnetic solitons in a superlattice formed by a system of quantum dots. J Russ Laser Res 29, 49–56 (2008). https://doi.org/10.1007/s10946-008-0004-4

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  • DOI: https://doi.org/10.1007/s10946-008-0004-4

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