Justification for the composite fermion picture
Arkadiusz Wojs, John J Quinn, and Lucjan Jacak
TL;DR
This paper examines why the mean field composite fermion model accurately predicts fractional quantum Hall states, emphasizing the importance of the short-range nature of the Coulomb pseudopotential in the lowest Landau level.
Contribution
It clarifies the conditions under which the composite fermion picture is valid, focusing on the role of pseudopotential properties rather than Coulomb-Chern-Simons cancellation.
Findings
The success of the MFCF model depends on the short-range pseudopotential in the lowest Landau level.
The paper defines the class of pseudopotentials suitable for the MFCF approach.
It explains the applicability of the MFCF picture to various quantum Hall systems.
Abstract
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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