Magnetization and Spin Excitations of Non-Abelian Quantum Hall States

Abstract

Significant insights into non-Abelian quantum Hall states were obtained from studying special multi-particle interaction Hamiltonians, whose unique ground states are the Moore-Read and Read-Rezayi states for the case of spinless electrons. We generalize this approach to include the electronic spin-1/2 degree of freedom. We demonstrate that in the absence of Zeeman splitting the ground states of such Hamiltonians have large degeneracies and very rich spin structures. The spin structure of the ground states and low-energy excitations can be understood based on an emergent SU(3) symmetry for the case corresponding to the Moore-Read state. These states with different spin quantum numbers represent non-Abelian quantum Hall states with different magnetizations, whose quasi-hole properties are likely to be similar to those of their spin polarized counterparts.

Minor revisions. Final version as appeared in print

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Fractional quantum Hall effect at $\nu =5/2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
• Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime
• Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
• Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field

Cited by in corpus (2)

• Spin polarization of the $\nu =5/2$ quantum Hall state
• Fractional quantum Hall effect at the filling factor $\nu =5/2$