Justification for the composite fermion picture

Details Justification for the composite fermion picture Justification for the composite fermion picture

2003-08-20

arxiv.org/abs/cond-mat/0308409v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

VII International School on Theoretical Physics: Symmetry and Structural Properties of Condensed Matter Myczkowce, Poland, Sep

Scientific paper

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

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