Charged spin textures over the Moore-Read quantum Hall state

TL;DR

This paper investigates charged spin textures over the Moore-Read quantum Hall state, developing an algebraic framework that links pairing conditions to the formation of various charged spin textures with non-Abelian quasihole correlations.

Contribution

It introduces a novel algebraic approach to characterize charged spin textures in the Moore-Read state, identifying fundamental textures and their relation to non-Abelian quasiholes.

Findings

Fundamental CSTs have charge e/4 and are linked to polar core vortices.

The spin textures are labeled by winding numbers [w_I, w_II].

Fusion of CSTs correlates with quasihole fusion channels.

Abstract

We study charged spin textures (CST) over the Moore-Read quantum Hall state at filling factor 5/2. We develop an algebraic framework and show that the pairing condition that is inherent in the Moore-Read state naturally leads to a class of charged spin textures, labeled by winding numbers [w_I, w_II]. The fundamental CST, with labels [1,0] and electric charge e/4, is identified with the polar core vortex known in the spin-1 BEC literature. The spin texture carried by the fusion product of fundamental CSTs is correlated with the fusion channel of the underlying non-Abelian quasiholes.