Composite fermions in the neighborhood of $\nu=1/3$

TL;DR

This paper validates the composite fermion theory's accuracy in describing the low energy states of strongly correlated electrons near filling factor 1/3, through extensive comparison with exact results.

Contribution

It provides extensive validation of the composite fermion theory's predictions in the filling factor range just above 1/3, confirming its qualitative and quantitative accuracy.

Findings

Composite fermion theory correctly describes the low energy Hilbert space reorganizations.

Eigenenergies predicted by the theory match exact results within 0.1%.

The theory's validity is established in the specified filling factor range.

Abstract

We present extensive comparisons of the composite fermion theory with exact results in the filling factor range $2/5>\nu>1/3$, which affirm that the composite fermion theory correctly describes the qualitative reorganization of the low energy Hilbert space of the strongly correlated electrons, and predicts eigenenergies with an accuracy of $\sim 0.1$ %. These facts establish the basic validity of the composite fermion description in this filling factor region.