Spectral properties of rotating electrons in quantum dots and their relation to quantum Hall liquids

TL;DR

This paper investigates the spectral properties of interacting electrons in quantum dots using exact diagonalization, revealing how angular momentum influences polarization, spin structures, and electron localization, with implications for understanding quantum Hall states.

Contribution

It provides a detailed analysis of electron behavior in quantum dots at various angular momenta, linking spectral features to quantum Hall liquid properties.

Findings

Full polarization at specific filling factors (1, 1/3, 1/5)

Presence of spin-waves, domains, and localization depending on angular momentum

Vortices only at excited polarized states

Abstract

The exact diagonalization technique is used to study many-particle properties of interacting electrons with spin, confined in a two-dimensional harmonic potential. The single-particle basis is limited to the lowest Landau level. The results are analyzed as a function of the total angular momentum of the system. Only at angular momenta corresponding to the filling factors 1, 1/3, 1/5 etc. the system is fully polarized. The lowest energy states exhibit spin-waves, domains, and localization, depending on the angular momentum. Vortices exist only at excited polarized states. The high angular momentum limit shows localization of electrons and separation of the charge and spin excitations.