Abstract
The energy bands are derived for a simple model of quantum dot arrays. The periodic array of quantum dots is linked by conducting atoms. The electrons in the conducting linkers are described by a tight-binding model. The electrons in the quantum dots are strong correlated, and the correlation is described by a Hubbard term. The electrons on the quantum dots are allowed to fluctuate through hopping to and from the conducting atoms. We solve the energy band for conducting electrons with perturbation method for the case that the quantum dots are in a spin singlet state.
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