Skyrmions and edge spin excitations in quantum Hall droplets

TL;DR

This paper analyzes spin textures in quantum Hall droplets near filling factor one, identifying skyrmions and edge excitations, and explores their properties and ground state transitions using analytical wavefunctions and Hartree-Fock approximation.

Contribution

It provides explicit analytical wavefunctions for low-lying spin textures and studies their role as ground states in quantum Hall droplets.

Findings

Skyrmions become ground states at filling factors slightly above 1

Analytical wavefunctions for bulk and edge spin excitations are derived

Hartree-Fock approximation effectively describes these spin textures

Abstract

We present an analysis of spin-textures in Quantum Hall droplets, for filling factors $\nu \simeq 1$. Analytical wavefunctions with well defined quantum numbers are given for the low-lying states of the system which result to be either bulk skyrmions or edge spin excitations. We compute dispersion relations and study how skyrmions become ground states of the Quantum Hall droplet at $\nu \gtrsim 1$. A Hartree-Fock approximation is recovered and discussed for those spin textures.