Excitons of Composite Fermions

Abstract

The low-energy excitations of filled Landau levels (LL's) of electrons involve promotion of a single electron from the topmost filled LL to the lowest empty LL. These are called excitons or collective modes. The incompressible fractional quantum Hall states are understood as filled LL's of composite fermions, and the low-energy neutral excitations are excitons of composite fermions. New techniques are developed to study large systems, which provide detailed information about the dispersions of the composite fermion excitons. In particular, it is found that the interaction energy of the exciton is well described by the `unprojected' composite fermion theory.

40 pages including 13 postscript figures; accepted for publication in Physical Review B (1996); related paper in cond-mat/9511136

References in corpus (12)

• Band Structure of the Fractional Quantum Hall Effect
• Response functions and Spectrum of Collective Excitations of Fractional Quantum Hall Effect Systems
• Finite-Wavevector Electromagnetic Response of Fractional Quantized Hall States
• Response Function of the Fractional Quantized Hall State on a Sphere II: Exact Diagonalization
• Composite fermion theory of collective excitations in fractional quantum Hall effect
• Phonon Absorption at the Magneto-Roton Minimum in the Fractional Quantum Hall Effect
• Composite Fermions and Landau Level Mixing in the Fractional Quantum Hall Effect
• Excitation Spectrum and Collective Modes of Composite Fermions
• Characterization of fractional-quantum-Hall-effect quasiparticles
• Response Function of the Fractional Quantized Hall State on a Sphere I: Fermion Chern-Simons Theory
• Composite Fermions and the Energy Gap in the Fractional Quantum Hall Effect
• Finite Temperature Fractional Quantum Hall Effect

Cited by in corpus (27)

• Magneto-roton excitation of fractional quantum Hall effect: Comparison between theory and experiment
• Evidence for pairing states of composite fermions in double-layer graphene
• Quench dynamics of collective modes in fractional quantum Hall bilayers
• Two-Roton Bound State in the Fractional Quantum Hall Effect
• Positions of the magnetoroton minima in the fractional quantum Hall effect
• Neutral Excitations of Quantum Hall States: a Density Matrix Renormalization Group Study
• Hamiltonian Description of Composite Fermions: Magnetoexciton Dispersions
• Microscopic Model for Fractional Quantum Hall Nematics
• Hamiltonian Description of Composite Fermions: Calculation of Gaps
• Analytic Wavefunctions for Neutral Bulk Excitations in Fractional Quantum Hall Fluids
• Exclusion statistics for fractional quantum Hall states on a sphere
• Nature of the anomalous $4/13$ fractional quantum Hall effect in graphene
• Scaling Relations for Gaps in Fractional Quantum Hall States
• Hamiltonian Theory of the FQHE: Conserving Approximation for Incompressible Fractions
• Flavor altering excitations of composite fermions
• Supergravity model of the Haldane-Rezayi fractional quantum Hall state
• Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect
• Theory of fractional quantum Hall liquids coupled to quantum light and emergent graviton-polaritons
• Magnetoroton instabilities and static susceptibilities in higher Landau levels
• Prediction of non-Abelian fractional quantum Hall effect at $\nu =2+\frac{4}{11}$
• Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
• Interaction dependence of composite fermion effective masses
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Charged Excitons of Composite Fermions in the Fractional Quantum Hall Effect
• Mean field approximations for short range four body interactions at $\nu =3/5$
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Generalizing the composite fermion theory for fractional Chern insulators