Electron correlations, spontaneous magnetization and momentum density in quantum dots

TL;DR

This paper investigates magnetization oscillations in quantum dots using an exactly solvable model and quantum Monte Carlo simulations, revealing signatures in momentum density and effects of electron correlations.

Contribution

It introduces a simple solvable model predicting magnetization oscillations and applies quantum Monte Carlo to study correlation effects in quantum dots.

Findings

Oscillations in spin polarization as a function of dot radius.

Distinct signatures in momentum density related to magnetization.

Correlation effects influence electron interactions in quantum dots.

Abstract

The magnetization of quantum dots is discussed in terms of a relatively simple but exactly solvable model Hamiltonian. The model predicts oscillations in spin polarization as a function of dot radius for a fixed electron density. These oscillations in magnetization are shown to yield distinct signature in the momentum density of the electron gas, suggesting the usefulness of momentum resolved spectroscopies for investigating the magnetization of dot systems. We also present variational quantum Monte Carlo calculations on a square dot containing 12 electrons in order to gain insight into correlation effects on the interactions between like and unlike spins in a quantum dot.