A Two Fluid Description of the Quantum Hall Soliton

TL;DR

This paper analyzes the stability of the Quantum Hall Soliton, demonstrating its robustness under small disturbances and exploring how quasiparticle creation affects the system's energy and potential stability.

Contribution

It introduces a two-fluid model to describe the Quantum Hall Soliton and investigates the effects of quasiparticle creation on system stability.

Findings

Quantum Hall Soliton is stable under small perturbations

Creating quasiparticles lowers the system's energy

Potential implications for the system's long-term stability

Abstract

We show that the Quantum Hall Soliton constructed in \cite{giantbob} is stable under small perturbations. We find that creating quasiparticles actually lowers the energy of the system, and discuss whether this indicates an instability on the time scales relevant to the problem.