QUANTITATIVE STUDY OF LARGE COMPOSITE-FERMION SYSTEMS

Quantitative investigations of the fractional quantum Ball effect (FQH E) have been limited in the past to systems containing typically fewer than 10-12 particles, except for the 1/(2p + 1) Laughlin states. We d evelop a method; using the framework of the composite-fermion theory, that enables a treatment of much bigger systems and-makes it possible- to obtain accurate quantitative information for other incompressible s tates as well. After establishing the validity of this method by compa rison with few-particle exact-diagonalization results, we compute the ground-state energies and transport gaps for a number of FQHE states.