Entanglement Skyrmions in multicomponent quantum Hall systems

TL;DR

This paper develops a theory of entangled spin and pseudospin Skyrmions in quantum Hall systems, introducing an entanglement operator and exploring their properties and implications for nuclear relaxation.

Contribution

It presents a novel theoretical framework for entangled spin-pseudospin Skyrmions, including an entanglement operator and local characterization methods.

Findings

Families of degenerate Skyrmions with different entanglement properties identified

Entanglement influences nuclear relaxation times in quantum Hall ferromagnets

A unified treatment of spin and pseudospin textures is proposed

Abstract

We discuss charged topological spin textures in quantum Hall ferromagnets in which the electrons carry a pseudospin as well as the usual spin degree of freedom, as is the case in bilayer GaAs or monolayer graphene samples. We develop a theory which treats spin and pseudospin on a manifestly equal footing, which may also be of help in visualizing the relevant spin textures. We in particular consider the entanglement of spin and pseudospin in the presence of realistic anisotropies. An entanglement operator is introduced which generates families of degenerate Skyrmions with differing entanglement properties. We propose a local characterization of the latter, and touch on the role entangled Skyrmions play in the nuclear relaxation time of quantum Hall ferromagnets.