Brueckner-Hartree-Fock study of circular quantum dots

TL;DR

This paper uses Brueckner-Hartree-Fock theory to calculate ground state energies of electrons in circular quantum dots, showing improved accuracy over other methods especially in high-density, strongly confined regimes.

Contribution

It applies Brueckner-Hartree-Fock theory to quantum dots and demonstrates its effectiveness in accurately predicting ground state energies compared to other approaches.

Findings

Correlations significantly affect ground state energies.

Brueckner-Hartree-Fock results are close to exact in high-density dots.

Method outperforms local-spin-density approximation.

Abstract

We calculate ground state energies in the Brueckner-Hartree-Fock theory for $N$ electrons (with $N\le 20$) confined to a circular quantum dot and in presence of a static magnetic field. Comparison with the predictions of Hartree-Fock, local-spin-density and exact configuration-interaction theories is made. We find that the correlations taken into account in Brueckner-Hartree-Fock calculations give an important contribution to the ground state energies, specially in strongly confined dots. In this high-density range, corresponding in practice to self-assembled quantum dots, the results of Brueckner-Hartree-Fock calculations are close to the exact values and better than those obtained in the local-spin-density approximation.