Many-Body perturbation theory calculations on circular quantum dots

TL;DR

This paper explores the application of many-body perturbation theory to improve calculations of circular quantum dots, analyzing electron interactions, magnetic effects, and comparing results with experimental data.

Contribution

It introduces a systematic perturbation approach starting from various initial states, including Hartree-Fock, to study electron correlations in quantum dots.

Findings

Perturbation theory improves energy calculations for quantum dots.

Magnetic field effects on electron states are characterized.

Comparison with experiments validates the theoretical approach.

Abstract

The possibility to use perturbation theory to systematically improve calculations on circular quantum dots is investigated. A few different starting points, including Hartree-Fock, are tested and the importance of correla- tion is discussed. Quantum dots with up to 12 electrons are treated and the effects of an external magnetic field are examined. The sums over excited states are carried out with a complete finite radial basis set obtained through the use of B splines. The calculated addition energy spectra are compared with experiments and the implications for the filling sequence of the third shell are discussed in detail.