Quantum Hall Skyrmions in the framework of O(4) Non-linear Sigma Model

TL;DR

This paper introduces a novel framework for quantum Hall skyrmions using an O(4) nonlinear sigma model, analyzing their size, energy, and quantum properties through additional terms in the Lagrangian.

Contribution

It develops a new theoretical approach incorporating a quartic stability term and a $ heta$-term to study skyrmions' properties in quantum Hall systems.

Findings

Skyrmion size and energy are quantitatively determined.

The $ heta$-term influences the spin and statistics of skyrmions.

The framework enhances understanding of skyrmion stability and quantum characteristics.

Abstract

A new framework for quantum Hall skyrmions in O(4) nonlinear sigma model is studied here. The size and energy of the skyrmions are determined incorporating the quartic stability term in the Lagrangian. Moreover, the introduction of a $\theta$-term determines the spin and statistics of these skyrmions.