Bound States in a Quantized Hall Ferromagnet

TL;DR

This paper investigates bound states such as quasielectron-quasihole and skyrmion-antiskyrmion pairs in a quantum Hall ferromagnet at filling factor one, using a theoretical approach with a point impurity model.

Contribution

It introduces a method to analyze bound states in quantum Hall ferromagnets considering short-range impurity effects within the strong field approximation.

Findings

Bound states are characterized within the quantum Hall regime.

The excitonic representation technique effectively models the bound states.

Impurity effects influence the binding energies of quasiparticles.

Abstract

We report on a study of the quasielectron-quasihole and skyrmion-antiskyrmion bound states in the $\nu=1$ quantum Hall regime. The short range attraction potential is assumed to be determined by a point magnetic impurity. The calculations are performed within the strong field approximation when the binding energy and the characteristic electron-electron interaction energy are smaller than the Landau level spacing. The Excitonic Representation technique is used in that case.