Comments on "Composite Fermion (CF) model of quantum Hall effect: Two-dimensional electron systems in high magnetic fields": S. S. Mandal, M. R. Peterson and J. K. Jain, Phys. Rev. Lett.90, 106403(2003)

TL;DR

This paper critically examines the composite fermion model of the quantum Hall effect, highlighting internal inconsistencies in its assumptions about flux attachment and physical properties, questioning its theoretical and experimental validity.

Contribution

The paper provides a critical analysis of the CF model, pointing out fundamental inconsistencies and questioning the physical plausibility of flux attachment in quantum Hall systems.

Findings

Flux attachment violates Maxwell's equations.

CF properties are inconsistent with real materials.

Sequence of fractional charges matches data but lacks physical basis.

Abstract

The flux quanta attachment to the electrons creates composite fermions (CFs). The mass, the size and the density of the CF are inconsistent with real material. The sequence of fractional charges which suggest formation of CF agrees with the data but there are no monopoles in GaAs. Hence, the CF model is internally inconsistent. There are two possibilities. (1) The flux quanta are attached to the electrons. This is a theoretical possibility with nothing to do with any experiment ever performed within the last seventy five years. It will violate Maxwell equations and create unreal objects. (2) The CF give a sequence which is deduced from the experimental data and hence agrees with the data itself. In this case the masses of CF, the sizes and the densities are internally inconsistent.