Graviton Chirality and Topological Order in the Half-filled Landau Level

Abstract

The fractional quantum Hall state at Landau level (LL) filling factor 5/2 is extremely interesting because it is likely the first non-Abelian state, but its precise nature remains unclear after decades of study. We demonstrate this can be resolved by studying the chirality of its graviton excitations, using circularly polarized Raman scattering. We discuss the advantage of this bulk probe over the existing edge probes.

6 pages, 6 figures

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Cited by in corpus (9)

• Fractional charge and fractional statistics in the quantum Hall effects
• Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Geometric Fluctuation of Conformal Hilbert Spaces and Multiple Graviton Modes in Fractional Quantum Hall Effect
• Analytic exposition of the graviton modes in fractional quantum Hall effects and its physical implications
• Simple analog of the black-hole information paradox in quantum Hall interfaces
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Parametrization and thermodynamic scaling of pair correlation functions for the Fractional Quantum Hall Effect
• Anisotropy and quench dynamics of quasiholes in fractional quantum Hall liquids