Graviton chirality and topological order in the half-filled Landau level

F. D. M. Haldane; E. H. Rezayi; Kun Yang

doi:10.1103/PhysRevB.104.L121106

Letter

Graviton chirality and topological order in the half-filled Landau level

F. D. M. Haldane ¹, E. H. Rezayi ², and Kun Yang³

¹Physics Department, Princeton University, Princeton, New Jersey 08544, USA
²Physics Department, California State University Los Angeles, Los Angeles, California 90032, USA
³NHMFL and Department of Physics, Florida State University, Tallahassee, Florida 32306, USA

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Phys. Rev. B 104, L121106 – Published 15 September, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L121106

Abstract

The fractional quantum Hall state at the Landau level 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.

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Physical Review B

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Graviton chirality and topological order in the half-filled Landau level

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Graviton chirality and topological order in the half-filled Landau level

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