# Path-integral Monte Carlo study of electronic states in quantum dots in an external magnetic field

## TL;DR

This study uses path-integral Monte Carlo simulations to investigate correlated electron states in quantum dots under magnetic fields, revealing complex behaviors beyond mean-field predictions and providing insights into ground-state properties.

## Contribution

It introduces a novel application of path-integral Monte Carlo to analyze correlated states in quantum dots under magnetic fields, highlighting states that differ from mean-field theory.

## Key findings

- Discovery of diverse correlated states in quantum dots
- Correlations sometimes saturate at low temperatures
- Results provide insights into ground-state properties

## Abstract

We explore correlated electron states in harmonically confined few-electron quantum dots in an external magnetic field by the path-integral Monte Carlo method for a wide range of the field and the Coulomb interaction strength. Using the phase structure of a preceding unrestricted Hartree-Fock calculation for phase fixing, we find a rich variety of correlated states, often completely different from the prediction of mean-field theory. These are finite temperature results, but sometimes the correlations saturate with decreasing temperature, providing insight into the ground-state properties.