Charged spin textures over the Moore-Read quantum Hall state

Abstract

We study charged spin textures (CSTs) 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 CST, labeled by winding numbers [ωI, ωII]. The fundamental CSTs, with labels [1,0] and electric charge e/4, is identified with the polar core vortex known in the spin-1 Bose-Einstein condensates literature. The spin texture carried by the fusion product of fundamental CSTs is correlated with the fusion channel of underlying non-Abelian quasiholes. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.