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

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.

For a special issue of Solid State Communications on Advances in Studies of Electrons in Low Dimensional Structures