The multi-impurity system in CdSe nanoplatelets: electronic structure and thermodynamic properties

Abstract

This paper theoretically studies the impurity states and the effect of impurity concentration and configuration on the optical, electrical, and statistical properties of CdSe nanoplatelets (NPLs). The image charge-based model of electron–impurity interaction has been proposed. The charge carrier energy spectra and corresponding wave functions depending on impurity number and configuration have been calculated. The electron binding energies have been calculated for different NPL thicknesses. It has been shown that the image charges-based interaction potential that arises due to the dielectric constants mismatch is much stronger than the interaction potential that does not take such a mismatch into account. Also, it has been demonstrated that binding energies are increasing with the number of impurities. We calculated the canonical partition function using the energy levels of the electron, which in turn is used to obtain the mean energy, heat capacity, and entropy of the noninteracting electron gas. The thermodynamic properties of the noninteracting electron gas depending on the geometric parameters of the NPL, impurity number, configuration, and temperature have been studied.