Variational Monte Carlo for Interacting Electrons in Quantum Dots

TL;DR

This paper develops a variational Monte Carlo method to accurately model the electronic structure of 2D quantum dots under magnetic fields, highlighting symmetry use and introducing a diagonalization technique for strong fields.

Contribution

The paper introduces a novel variational Monte Carlo approach with symmetry considerations and a diagonalization method for multiconfiguration systems in quantum dots.

Findings

Accurate many-body wave functions across magnetic regimes

Efficient wave function optimization algorithm

Diagonalization technique for strong magnetic fields

Abstract

We use a variational Monte Carlo algorithm to solve the electronic structure of two-dimensional semiconductor quantum dots in external magnetic field. We present accurate many-body wave functions for the system in various magnetic field regimes. We show the importance of symmetry, and demonstrate how it can be used to simplify the variational wave functions. We present in detail the algorithm for efficient wave function optimization. We also present a Monte Carlo -based diagonalization technique to solve the quantum dot problem in the strong magnetic field limit where the system is of a multiconfiguration nature.