Unraveling the spin polarization of the v = 5/2 fractional quantum Hall state

Abstract

The fractional quantum Hall (FQH) effect at filling factor v = 5/2 has recently come under close scrutiny, as it may possess quasi-particle excitations obeying nonabelian statistics, a property sought for topologically protected quantum operations. Yet, its microscopic origin remains unidentified, and candidate model wave functions include those with undesirable abelian statistics. Here we report direct measurements of the electron spin polarization of the v = 5/2 FQH state using resistively detected nuclear magnetic resonance (NMR). We find the system to be fully polarized, which unambiguously rules out the most-likely abelian contender and thus lends strong support for the v = 5/2 state being nonabelian. Our measurements reveal an intrinsically different nature of interaction in the first-excited Landau level underlying the physics at v = 5/2.

References in corpus (9)

• Non-Abelian Anyons and Topological Quantum Computation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of neutral modes in the fractional quantum Hall regime
• Spin polarization of the $\nu =5/2$ quantum Hall state
• NMR probing of the spin polarization of the nu=5/2 quantum Hall state
• NMR Evidence for Spin Canting in a Bilayer nu = 2 Quantum Hall System
• Spin Transition in the Half-Filled Landau Level
• Optical absorption to probe the quantum Hall ferromagnet at filling factor $\nu =1$

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