Low-lying excitations of Quantum Hall Droplets

TL;DR

This paper introduces a new circular representation for charge density excitations in Quantum Hall droplets at filling factor 1, using novel operators to describe magnetoexcitons with precise angular momentum, validated by numerical calculations.

Contribution

It presents a novel set of operators for magnetoexcitons with well-defined angular momentum, improving the understanding of excitations in Quantum Hall droplets.

Findings

High overlap of magnetoexcitons with exact eigenstates up to 20 electrons

Accurate description of total energies and spectral functions

Enhanced understanding of charge density excitations

Abstract

We present the adequate circular representation of charge density excitations in Quantum Hall droplets at filling factor 1. A novel set of operators describes magnetoexcitons with well defined both total and center-of-mass angular momentum. The accuracy of this description is shown by the high overlap of the magnetoexcitons with the exact eigenstates of a quantum dot in a magnetic field obtained from numerical calculations up to 20 electrons. From such magnetoexcitons we get a good understanding of total energies and spectral functions.