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

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

1999-05-21

arxiv.org/abs/cond-mat/9905334v1

Physica E 6, 1 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1016/S1386-9477(99)00049-1

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).

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