Coulomb correlations of a few body system of spatially separated charges

TL;DR

This paper investigates Coulomb correlations in a few-body system of spatially separated charges using Hartree-Fock methods, exploring how correlation energy influences the formation of indirect excitons relevant to Bose-Einstein condensation.

Contribution

It introduces a variational approach to estimate correlation energy in electron-hole systems with spatial separation, linking Coulomb interactions to exciton formation.

Findings

Correlation energy depends on Coulomb coupling and interplane distance.

Correlation energy analysis aids in understanding indirect exciton formation.

Relevance to collective phenomena like Bose-Einstein condensation.

Abstract

A Hartree-Fock and Hartree-Fock-Bogoliubov study of a few body system of spatially separated charge carriers was carried out. Using these variational states, we compute an approximation to the correlation energy of a finite system of electron-hole pairs. This energy is shown as a function of the Coulomb coupling and the interplane distance. We discuss how the correlation energy can be used to theoretically determine the formation of indirect excitons in semiconductors which is relevant for collective phenomena such as Bose-Einstein condensation (BEC).