Nanocrystal solids with long range order is a new class of artificial materials, which physical properties are depend on the features of individual nanocrystals as well as their mutual interaction. In this work we investigate the energy band structure in a two-dimensional ordered array of semiconductor nanocrystals with degenerate valence band and finite value of spin-orbit splitting. The Coulomb interaction between nanocrystals splits energy of quantizied states of individual nanocrystals into excitonic energy bands. By changing the geometry of lattice and material parameters of individual nanocrystal, one can control the electromagnetic properties of these artificial materials.Keywords: Quantum dots, supercrystals, energy transfer
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