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1. Introduction Irradiation of ensembles of micro-and nanoparticles with optical radiation leads to various effects allowing the control of their motion. One of these effects is optical binding, being the effect based on optically induced interaction between particles [1], in contrast to optical trapping [2,3] which is based on forces raised from interaction of individual particles with light. In optical binding effect, electric field of a light wave polarizes particles, and ac polarizations of particles interact each other. For interparticle distances much smaller than the wavelength this can be treated as the local field effect, i.e. external ac electric field acting onto individual particle becomes modified by the account of the field produced by neighboring particles. Optically induced interaction of particles becomes noticeable at certain level of light intensity when the potential energy associated with this interaction is comparable with kinetic energy of Brownian motion or with the potential energy of a barrier typically used to stabilize colloid solutions of NPs' ensembles. In recent studies, the most attention was devoted to the investigation of metallic NPs interacting with light. Particularly, calculation technique for modeling the dynamics of metal NPs was elaborated [4]. High precision manipulation of multiple metallic NPs using optical binding force induced by off-resonant low-power laser was recently demonstrated at distances up to several microns [5]. Alternatively, self-assembly of metal NPS at the subwavelength scale due to plasmonic interaction was obtained under strong off-resonant cw laser illumination, as was deduced from Raman and Rayleigh scattering [6]. Somehow similar result was observed in [7] where hybridization of metal NPs plasmonic resonance was observed in scattering when NPs were confined in an optical trap. Employing the plasmonic resonance of metal NPs with the laser frequency is widely recognized as means for enhancement of optically induced interaction between metallic NPs, as theoretically investigated [8,9]. Moreover, it was shown in these two papers that formation of NPs' clusters with pre-defined geometry is possible via proper choice of laser wavelength and polarization. Characteristic potential well depths for silver NPs, according to [9], are less than ten energies of thermal motion at laser field strengths close to metal NPs' breakdown threshold. More deep potential wells could be obtained when NPs with narrower resonant widths are under the self-assembly. Resonant widths of excitons in semiconductor QDs are two orders of magnitude narrower than plasmonic resonances in metals [10]. Formation of QDs' structures under optical irradiation due to various non-electrodynamical mechanisms were studied, e.g. in [11][12][13]. Surprisingly, no experimental attempts were done up to date to perform electrodynamically-driven laser-induced self-assembly of semiconductor nanoparticles, that may be of interest for quantum information, spintronics, single-electron transport, and sens...

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