Ground-state of two-dimensional finite electron systems in the Quantum Hall regime

TL;DR

This paper investigates the ground states of finite two-dimensional electron systems in high magnetic fields, revealing vortex formations that influence observable properties like chemical potential and magnetization, with theoretical predictions aligning with experimental data.

Contribution

It introduces a classification of ground states based on vortex count and predicts observable effects of vortex formation in quantum Hall systems.

Findings

Vortex formation affects chemical potentials and magnetization.

Theoretical predictions match experimental electron transport data.

Ground state classification correlates with vortex number.

Abstract

We study electronic structures of quasi-two-dimensional finite electron systems in high magnetic fields. The solutions in the fractional quantum Hall regime are interpreted as quantum liquids of electrons and off-electron vortices. The ground states are classified according to the number of vortices inside the electron droplet. The theory predicts observable effects due to vortex formation in the chemical potentials and magnetization of electron droplets. We compare the transitions in the theory to those found in electron transport experiments on a quantum dot device and find significant correspondence.