A microscopic theory of skyrmion excitations in the fractional quantum Hall system

TL;DR

This paper develops a microscopic theoretical framework to analyze skyrmion excitations in fractional quantum Hall systems, calculating their energies and exploring how their spin polarization varies with magnetic field.

Contribution

It introduces an analytical approach to determine skyrmion excitation energies and spin polarization dependence in fractional quantum Hall states.

Findings

Calculated skyrmion and antiskyrmion excitation energies.

Determined the magnetic field dependence of spin polarization.

Provided insights into skyrmion condensates in quantum Hall systems.

Abstract

We present a microscopic theory of skyrmion and antiskyrmion excitations in fractional quantum Hall systems, and calculate in an analytical fashion their excitation energies. From the calculated net spins at various fractional filling factors, we find the magnetic field dependence of the spin polarization of the skyrmion-condensated state.