Soliton nanoantennas in two-dimensional arrays of quantum dots
G. Gligori\'c, A. Maluckov, and Lj. Had\v{z}ievski, G. Ya. Slepyan,, and B. A. Malomed

TL;DR
This paper models 2D quantum dot arrays interacting with electromagnetic fields, discovering stable Rabi solitons that could serve as self-assembled nano-antennas controllable by optical methods.
Contribution
It introduces a new concept of soliton-based nano-antennas in 2D quantum dot arrays, with analysis of their stability, mobility, and potential control mechanisms.
Findings
Found stable fundamental and vortical Rabi solitons.
Demonstrated potential for self-assembled nano-antenna applications.
Discussed implementation via surface plasmon solitons in graphene.
Abstract
We consider two-dimensional (2D) arrays of self-organized semiconductor quantum dots (QDs) strongly interacting with electromagnetic field in the regime of Rabi oscillations. The QD array built of two-level states is modelled by two coupled systems of discrete nonlinear Schr\"{o}dinger equations. Localized modes in the form of single-peaked fundamental and vortical stationary Rabi solitons and self-trapped breathers have been found. The results for the stability, mobility and radiative properties of the Rabi modes suggest a concept of a self-assembled 2D \textit{% soliton-based nano-antenna}, which should be stable against imperfections In particular, we discuss the implementation of such a nano-antenna in the form of surface plasmon solitons in graphene, and illustrate possibilities to control their operation by means of optical tools.
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