Masses of composite fermions carrying two and four flux quanta: Differences and similarities

TL;DR

This paper offers a theoretical explanation for the observed equality of normalized masses of certain composite fermions and shows their mass dependence on filling factor, aligning with experimental data.

Contribution

It provides a novel theoretical rationalization for experimental findings on composite fermion masses and highlights their filling factor dependence.

Findings

Normalized masses of composite fermions are equal for two and four flux quanta.

Mass of four-flux composite fermions varies significantly with filling factor.

Strong inter-composite fermion interactions influence mass dependence.

Abstract

This study provides a theoretical rationalization for the intriguing experimental observation regarding the equality of the normalized masses of composite fermions carrying two and four flux quanta, and also demonstrates that the mass of the latter type of composite fermion has a substantial filling factor dependence in the filling factor range $4/17 > \nu > 1/5$, in agreement with experiment, originating from the relatively strong inter-composite fermion interactions here.