Twenty years since the discovery of the Fractional Quantum Hall Effect: current state of the theory

TL;DR

This paper critically examines the theoretical foundations of the Fractional Quantum Hall Effect, challenging the widely accepted composite fermion concept and proposing a simplified 1D model to better understand the phenomenon.

Contribution

It questions the validity of the composite fermion concept and introduces a new one-dimensional model with a similar energy spectrum to the FQHE system.

Findings

No solid theoretical basis for composite fermions

Proposed a simple 1D model with similar energy spectrum

Challenged existing interpretations of FQHE

Abstract

The current state of the theory of the Fractional Quantum Hall Effect is critically analyzed, especially the generally accepted concept of composite fermions. It is argued that there is no sound theoretical foundation for this concept. A simple one-dimensional model is proposed, which presumably has an energy spectrum similar to that of the FQHE system.