Fractional Quantum Hall States in Low-Zeeman-Energy Limit

TL;DR

This paper explores the behavior of interacting electrons in the fractional quantum Hall regime when Zeeman energy is negligible, using composite fermion theory with a hard-core approximation to explain the low-energy spectrum.

Contribution

It introduces a novel analysis of fractional quantum Hall states at low Zeeman energy, emphasizing the importance of treating composite fermions as hard-core particles.

Findings

Composite fermion theory explains the low-energy spectrum in this limit.

Hard-core treatment of composite fermions is crucial.

Results align with experimental observations at low Zeeman energies.

Abstract

We investigate the spectrum of interacting electrons at arbitrary filling factors in the limit of vanishing Zeeman splitting. The composite fermion theory successfully explains the low-energy spectrum {\em provided the composite fermions are treated as hard-core}.