Composite Fermions and the Fractional Quantum Hall Effect: Essential Role of the Pseudopotential

Abstract

The mean field (MF) composite Fermion (CF) picture successfully predicts the band of low lying angular momentum multiplets of fractional quantum Hall systems for any value of the magnetic field. This success cannot be attributed to a cancellation between Coulomb and Chern--Simons interactions between fluctuations beyond the mean field. It results instead from the short range behavior of the Coulomb pseudopotential in the lowest Landau level (LL). The class of pseudopotentials for which the MFCF picture is successful can be defined, and used to explain the success or failure of the picture in different cases (e.g. excited LL's, charged magneto-excitons, and Laughlin quasiparticles in a CF hierarchy picture).

4 pages, 4 figures (RevTeX+epsf); talk at EP2DS-XIII

References in corpus (4)

• The Composite Fermion Hierarchy: Condensed States of Composite Fermion Excitations?
• Hund's Rule for Monopole Harmonics, or Why the Composite Fermion Picture Works
• Composite Fermion Approach to the Quantum Hall Hierarchy: When it Works and Why
• Incompressible states of negatively charged magneto-excitons

Cited by in corpus (15)

• Optical properties in a two-dimensional quantum ring: Confinement potential and Aharonov-Bohm effect
• Nonlinear optical properties in a quantum well with the hyperbolic confinement potential
• A note contrasting two microscopic theories of the fractional quantum Hall effect
• Emergence of Jack ground states from two-body pseudopotentials in fractional quantum Hall systems
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Static and Dynamic Properties of Type-II Composite Fermion Wigner Crystals
• 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
• Fractional quantum Hall effect and electron correlations in partially filled first excited Landau level
• The Fermion-Boson Transformation in Fractional Quantum Hall Systems
• The stability of the fractional quantum Hall effect in topological insulators
• Excitations of the $\nu =5/2$ Fractional Quantum Hall State and the Generalized Composite Fermion Picture
• Residual interactions and correlations among Laughlin quasiparticles: Novel hierarchy states
• Quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry: magnetism, correlations, and phase transitions