Skyrmions in quantum Hall systems are dynamical objects

TL;DR

This paper investigates the properties of skyrmions in quantum Hall systems, focusing on how their wave-functions behave with different cut-offs and in the thermodynamic limit, revealing size effects and invariance properties.

Contribution

It demonstrates the M-dependence of skyrmion wave-functions and their convergence to translationally invariant forms in the thermodynamic limit.

Findings

Size effects depend on the cut-off M

Wave-functions tend to translational invariance as M increases

Finite M suppresses wave-function tails exponentially

Abstract

Removed to be revised. Diagonalization for a larger cut-off M shows that the definite size effects are M-dependent. Scaling with M shows that in the thermodynamic limit the skyrmion wave-function tends to the translationally invariant hard core wave function. Finite M breaks translational invariance and at the same time it exponentially suppresses the tail of the wave-function. Details will be published.