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Exact solution for two interacting electrons on artificial atoms and molecules in solids

A. Aharony·O. Entin-Wohlman·Y. Imry
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Abstract

We present a general scheme for finding the exact eigenstates of two electrons, with on-site repulsive potentials U_i, on I impurities in a macroscopic crystal. The model describes impurities in doped semiconductors and artificial molecules in quantum dots. For quantum dots, the energy cost for adding two electrons is bounded by the single-electron spectrum, and does not diverge when U_i approaches infinity, implying limitations on the validity of the Coulomb blockade picture. Analytic applications on a one-dimensional chain yield quantum delocalization and magnetic transitions.

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A. Aharony, O. Entin-Wohlman, Y. Imry. 1999-04-13. Exact solution for two interacting electrons on artificial atoms and molecules in solids. https://doi.org/10.1103/physrevb.61.5452

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