Strongly correlated wave functions for artificial atoms and molecules

TL;DR

This paper introduces a semianalytical method for constructing strongly correlated wave functions in quantum dots, combining symmetry breaking and restoration techniques, demonstrated on helium-like and hydrogen-like quantum dots.

Contribution

It presents a novel two-step approach using symmetry breaking and projection techniques to model strongly correlated electrons in quantum dots.

Findings

Effective wave functions for quantum dots were constructed.

Method accurately captures electron correlations.

Applications demonstrated on helium-like and hydrogen-like quantum dots.

Abstract

A method for constructing semianalytical strongly correlated wave functions for single and molecular quantum dots is presented. It employs a two-step approach of symmetry breaking at the Hartree-Fock level and of subsequent restoration of total spin and angular momentum symmetries via Projection Techniques. Illustrative applications are presented for the case of a two-electron helium-like single quantum dot and a hydrogen-like quantum dot molecule.