Comments on "Mutually composite fermions in double layer quantum Hall systems", Jinwu Ye, cond-mat/0302558: Why is it wrong?

TL;DR

This paper critiques Jinwu Ye's proposal of mutually composite fermions in double layer quantum Hall systems, arguing that the concept is unphysical and lacks Lorentz invariance, thus challenging its validity as a theoretical basis.

Contribution

The paper provides a critical analysis demonstrating that the concept of mutually composite fermions is unphysical and cannot serve as a valid theoretical framework.

Findings

Mutually composite fermions are unphysical objects.

The proposed theory lacks Lorentz invariance.

The critique questions the validity of the MCF concept in quantum Hall systems.

Abstract

Jinwu Ye has shown that two flux quanta are attached in one layer while the electron is in the other layer to form a mutually composite fermion (MCF). This idea is based on an earlier idea that CF are formed by attaching two flux quanta to one electron. We find that the formation of MCF is unphysical and it can not be the basis of a new theory. Similarly, the CF are also unphysical objects and their Lorentz invariance is missing.