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

TL;DR

This paper proposes using circularly polarized Raman scattering to study graviton excitation chirality in the 5/2 fractional quantum Hall state, providing insights into its topological order and non-Abelian nature.

Contribution

It introduces a bulk probe method to determine graviton chirality, advancing understanding of the 5/2 fractional quantum Hall state's topological properties.

Findings

Chirality of graviton excitations can be detected via Raman scattering.

Bulk probe offers advantages over edge-based measurements.

Results shed light on the non-Abelian nature of the 5/2 state.

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.