Study of composite fermions: Beyond few particle systems

TL;DR

This paper introduces a new wave function representation for composite fermions that allows large-scale Monte Carlo simulations, enabling detailed studies of the fractional quantum Hall effect and thermodynamic properties of related states.

Contribution

A novel representation of composite fermion wave functions that facilitates computations at various filling factors for larger systems.

Findings

Monte Carlo computations at arbitrary filling factors

Thermodynamic estimates of transport gaps for spin polarized states

Enhanced understanding of fractional quantum Hall states

Abstract

We construct a new representation of composite fermion wave functions in the lowest Landau level which enables Monte Carlo computations at arbitrary filling factors for a fairly large number of composite fermions, thus clearing the way toward a more detailed quantitative investigation of the fractional quantum Hall effect. As an illustrative application, thermodynamic estimates for the transport gaps of several spin polarized incompressible states have been obtained.