Composite Fermions and the Fractional Quantum Hall Effect

TL;DR

The paper explains the conditions under which the mean field composite Fermion model accurately predicts fractional quantum Hall states, emphasizing the importance of short-range Coulomb interactions in the lowest Landau level.

Contribution

It defines the class of pseudopotentials suitable for the composite Fermion model and clarifies its applicability across different quantum Hall systems.

Findings

Success of the MFCF picture depends on short-range Coulomb pseudopotentials.

The paper identifies systems where the MFCF model applies or fails.

It explains the role of pseudopotentials in predicting quantum Hall states.

Abstract

The mean field (MF) composite Fermion (CF) picture successfully predicts low lying states of fractional quantum Hall systems. This success cannot be attributed to a cancellation between Coulomb and Chern-Simons interactions beyond the mean field and solely depends on the short range (SR) of the Coulomb pseudopotential in the lowest Landau level (LL). The class of pseudopotentials for which the MFCF picture can be applied is defined. The success or failure of the MFCF picture in various systems (electrons in excited LL's, Laughlin quasiparticles, charged magneto-excitons) is explained.