Chiral Gravitons in Fractional Quantum Hall Liquids

Abstract

We elucidate the nature of neutral collective excitations of fractional quantum Hall liquids in the long-wavelength limit. We demonstrate that they are chiral gravitons carrying angular momentum - 2, which are quanta of quantum motion of an internal metric, and show up as resonance peaks in the systems response to what is the fractional Hall analog of gravitational waves. Relation with existing and possible future experimental work that can detect these fractional quantum Hall gravitons and reveal their chirality are discussed.

arXiv comment5 pages, 7 figures

References in corpus (24)

• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Geometrical Description of the Fractional Quantum Hall Effect
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Model Wavefunctions for the Collective Modes and the Magneto-roton Theory of the Fractional Quantum Hall Effect
• Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
• Bimetric Theory of Fractional Quantum Hall States
• Model anisotropic quantum Hall states
• Spectral Sum Rules and Magneto-Roton as Emergent Graviton in Fractional Quantum Hall Effect
• Competing states for the fractional quantum Hall effect in the 1/3-filled second Landau level
• Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions
• Composite Fermions with Tunable Fermi Contour Anisotropy
• Role of exciton screening in the 7/3 fractional quantum Hall effect
• Generalized Pseudopotentials for the Anisotropic Fractional Quantum Hall Effect
• Geometric quench and nonequilibrium dynamics of fractional quantum Hall states
• Acoustic Wave Absorption as a Probe of Dynamical Geometrical Response of Fractional Quantum Hall Liquids
• Geometry of Compressible and Incompressible Quantum Hall States: Application to Anisotropic Composite Fermion Liquids
• Probing the geometry of the Laughlin state
• Two-Roton Bound State in the Fractional Quantum Hall Effect
• Transference of Fermi Contour Anisotropy to Composite Fermions
• Numerical study of anisotropy in a composite Fermi liquid
• Incompressible States of Dirac Fermions in Graphene with Anisotropic Interactions
• Composite fermions in bands with N-fold rotational symmetry
• Connection between Fermi contours of zero-field electrons and $\nu =\frac{1}{2}$ composite fermions in two-dimensional systems
• Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level

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• Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• Probing the spin structure of the fractional quantum Hall magnetoroton with polarized Raman scattering
• Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers
• Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat Bands
• 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
• Dirac Composite Fermion Theory of General Jain's Sequences
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• Supergravity model of the Haldane-Rezayi fractional quantum Hall state
• Simple analog of the black-hole information paradox in quantum Hall interfaces
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• Theory of fractional quantum Hall liquids coupled to quantum light and emergent graviton-polaritons
• Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Prediction of non-Abelian fractional quantum Hall effect at $\nu =2+\frac{4}{11}$
• Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands
• Spectra of Magnetoroton and Chiral Graviton Modes of Fractional Chern Insulator
• Parametrization and thermodynamic scaling of pair correlation functions for the Fractional Quantum Hall Effect
• Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
• Deformed Fredkin model for the $\nu =5/2$ Moore-Read state on thin cylinders
• A numerical study of bounds in the correlations of fractional quantum Hall states
• Self-similarity of spectral response functions for fractional quantum Hall states
• Fractional Quantum Hall Effect Based on Weyl Orbits
• A Platform for Far-Infrared Spectroscopy of Quantum Materials at Millikelvin Temperatures
• Very high-energy collective states of partons in fractional quantum Hall liquids
• Domain Textures in the Fractional Quantum Hall Effect
• Chiral excitations and the intermediate-field spin-liquid regime in the Kitaev magnet $\alpha$-RuCl${}_3$
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Chiral Gravitons on the Lattice
• Anisotropy and quench dynamics of quasiholes in fractional quantum Hall liquids
• Chiral Metric Hydrodynamics, Kelvin Circulation Theorem, and the Fractional Quantum Hall Effect
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect
• Second-quantized approach to the study of Halperin state in fractional quantum Hall effect
• Spin of fractional quantum Hall neutral modes and "missing states" on a sphere
• Chiral Graviton Modes in Fermionic Fractional Chern Insulators