Charged spin textures over the Moore-Read quantum Hall state

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.

10 pages, 2 figures

References in corpus (7)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Optical Probing of the Spin Polarization of the nu=5/2 Quantum Hall State
• Mapping the braiding properties of the Moore-Read state
• Skyrmions in the Moore-Read state at nu=5/2
• Magnetization and Spin Excitations of Non-Abelian Quantum Hall States

Cited by in corpus (3)

• Focus on topological quantum computation
• Phase diagram of $\nu =\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings
• Spin texture readout of a Moore-Read topological quantum register