Composite Fermions in Fractional Quantum Hall Systems

Abstract

The composite Fermion (CF) picture offers a simple intuitive way of understanding many of the surprising properties of a strongly interacting two-dimensional electron fluid in a large magnetic field. The simple way in which the mean field CF picture describes the low lying bands of angular momentum multiplets for any value of the applied magnetic field is illustrated and compared with the results of exact numerical diagonalization of small systems. The justification of the success of the CF approach is discussed in some detail, and a CF hierarchy picture of the incompressible quantum fluid states is introduced. The CF picture is used to understand the energy spectrum and photoluminescence of systems containing both electrons and valence band holes.

36 pages, 16 figures

References in corpus (2)

• Quasiparticle Interactions in Fractional Quantum Hall Systems: Justification of Different Hierarchy Schemes
• Two-Dimensional Electron-Hole Systems in a Strong Magnetic Field: Composite Fermion Picture for Multi-Component Plasmas

Cited by in corpus (13)

• Transition from Free to Interacting Composite Fermions away from $\nu$=1/3
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Three-body correlations and finite-size effects in the Moore--Read states on a sphere
• Pair-distribution functions of correlated composite fermions
• Novel Families of Fractional Quantum Hall States: Pairing of Composite Fermions
• Flavor altering excitations of composite fermions
• Fermions out of Dipolar Bosons in the lowest Landau level
• The Fermion-Boson Transformation in Fractional Quantum Hall Systems
• Skyrmions in integral and fractional quantum Hall systems
• The stability of the fractional quantum Hall effect in topological insulators
• Fractionally charged magneto-excitons
• Few-body collective excitations beyond Kohn's theorem in quantum Hall systems
• Residual interactions and correlations among Laughlin quasiparticles: Novel hierarchy states