Entanglement skyrmions in multicomponent quantum Hall systems

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.