Electronic structure and electron distribution in an inverse superatom calculated by self-consistent method

Abstract

A full self-consistent procedure, applied to an inverse superatom strucuture is described. It is shown, both numerically and theoretically, that the electron concentration is large, but not maximal, the point of maximum being displaced off centre due to the fact that the second excited level has three times as many electrons as the ground level. Such an effect does not occur in classical quantum wells and superlattices. Moreover it is shown that the self-consistent treatment is necessary for an exact analysis of the energy band structure of the inverse superatom: solving the problem only by a trial rectangular potential gives an error of about 20%.