Second Generation of Composite Fermions and the Self-Similarity of the Fractional Quantum Hall Effect

TL;DR

This paper explores a model of interacting composite fermions to explain various phases in the fractional quantum Hall effect, revealing self-similarity and proposing explanations for unusual filling factors like nu=4/11.

Contribution

It introduces a model that accounts for second-generation composite fermions and their phases, explaining self-similarity in the fractional quantum Hall effect.

Findings

Identification of solid and quantum-liquid phases

Explanation of fractional quantum Hall states at unusual filling factors

Revelation of self-similarity in the composite fermion model

Abstract

A recently developed model of interacting composite fermions, is used to investigate different composite-fermion phases. Their interaction potential allows for the formation of both solid and new quantum-liquid phases, which are interpreted in terms of second-generation composite fermions and which may be responsible for the fractional quantum Hall states observed at unusual filling factors, such as nu=4/11. Projection of the composite-fermion dynamics to a single level, involved in the derivation of the Hamiltonian of interacting composite fermions, reveals the underlying self-similarity of the model.