Quantum Numbers of Textured Hall Effect Quasiparticles

TL;DR

This paper introduces a new class of variational wave functions for quasiparticles in quantum Hall systems, revealing fractional spin properties linked to bulk states and suggesting experimental tests, with implications for understanding Skyrmion condensation.

Contribution

It generalizes Laughlin quasiparticles and Skyrmions with a novel wave function class, linking quasiparticle spin to bulk properties and proposing experimental validation.

Findings

Fractional quasiparticle spin related to bulk state properties

Unified description of Laughlin quasiparticles and Skyrmions

Quantum Hall states from Skyrmion condensation

Abstract

We propose a class of variational wave functions with slow variation in spin and charge density and simple vortex structure at infinity, which properly generalize both the Laughlin quasiparticles and baby Skyrmions. We argue that the spin of the corresponding quasiparticle has a fractional part related in a universal fashion to the properties of the bulk state, and propose a direct experimental test of this claim. We show that certain spin-singlet quantum Hall states can be understood as arising from primary polarized states by Skyrmion condensation.