Real Space Hartree-Fock Configuration Interaction Method For Complex Lateral Quantum Dot Molecules

TL;DR

This paper introduces a real space Hartree-Fock configuration interaction method (URHF-CI) for accurately calculating the electronic states of complex quantum dot molecules with many electrons, incorporating magnetic fields and electron correlations.

Contribution

The paper presents a novel URHF-CI method combining real space finite difference and configuration interaction techniques for large quantum dot systems.

Findings

Successfully applied to ten-electron quantum dot molecule

Accurately captures ground and excited states with electron correlations

Demonstrates effectiveness in complex gate potential environments

Abstract

We present unrestricted Hartree Fock method coupled with configuration interaction (CI) method (URHF-CI) suitable for the calculation of ground and excited states of large number of electrons localized by complex gate potentials in quasi-two-dimensional quantum dot molecules. The method employs real space finite difference method, incorporating strong magnetic field, for the calculating of single particle states. The Hartree-Fock method is employed for the calculation of direct and exchange interaction contribution to the ground state energy. The effects of correlations are included in energies and directly in the many-particle wavefunctions via configuration interaction (CI) method using a limited set of excitations above the Fermi level. The URHF-CI method and its performance are illustrated on the example of ten electrons confined in a two-dimensional quantum dot molecule.