Electromagnetic solitons in a system of quantum dots taking into account the Hubbard interaction |
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Authors: | M B Belonenko N E Meshcheryakova |
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Institution: | (1) Laboratory of Nanotechnologies, Volgograd Institute of Business, Chaussée Aviatorov 1, Volgograd, 400075, Russia;(2) Volgograd State Pedagogical University, Prospect Lenina 27, Volgograd, 400131, Russia |
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Abstract: | We consider the Maxwell equations for an electromagnetic field propagating in a solid with a three-dimensional superlattice
of quantum dots linked by strong tunneling along one axis, where electrons with different spin projections are affected by
the strong Coulomb repulsion at a single site. We obtain a phenomenological equation in the form of the classical 1+1-dimensional
sine-Gordon equation. Electrons are considered within the framework of quantum formalism taking into account the changes in
the dispersion law provided by the presence of Coulomb interactions. The phenomenological equation is solved numerically,
and the influence of Coulomb repulsion and the degree of band population on the propagation of ultra-short optical pulses
is analyzed. |
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Keywords: | Maxwell equations superlattice of quantum dots Coulomb repulsion phenomenological equation |
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