Composite Fermions Phenomenology in Quantum Hall Effect

TL;DR

This paper critically examines the phenomenological composite fermion model in the quantum Hall effect, questioning its physical assumptions despite its empirical success in matching experimental data.

Contribution

It highlights the discrepancy between the phenomenological model's assumptions and the actual physical process of flux attachment in the quantum Hall effect.

Findings

Odd denominators are formed by adding or subtracting 1 to even numbers.

The phenomenological model matches experimental data.

The physical basis of flux attachment in the model is found to be incorrect.

Abstract

An effort is made to understand the phenomenological composite fermion model of the quantum Hall effect. The odd denominators are composed by adding plus minus 1 to the even numbers 2, 4, 6 and 8. Although the denominators are phenomenologically made to agree with the experimental data, the physics of the CF model, i.e., the even flux quanta attachment to the electron is found to be incorrect.