A note contrasting two microscopic theories of the fractional quantum Hall effect

Abstract

Two microscopic theories have been proposed for the explanation of the fractional quantum Hall effect, namely the Haldane-Halperin hierarchy theory and the composite fermion theory. Contradictory statements have been made regarding the relation between them, ranging from their being distinct to their being completely equivalent. This article attempts to provide a clarification of the issue. It is shown that the two theories postulate distinct microscopic mechanisms for the origin of the fractional quantum Hall effect, and make substantially different predictions that have allowed experiments to distinguish between them.

14 pages, 5 figures

References in corpus (7)

• Multicomponent fractional quantum Hall effect in graphene
• Clustering Properties and Model Wavefunctions for Non-Abelian Fractional Quantum Hall Quasielectrons
• Valley polarization and susceptibility of composite fermions around nu=3/2
• Spinful Composite Fermions in a Negative Effective Field
• Transference of Transport Anisotropy to Composite Fermions
• Density dependence of valley polarization energy for composite fermions
• Effect of Landau Level Mixing on Braiding Statistics

Cited by in corpus (5)

• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Interplay between fractional quantum Hall liquid and crystal phases at low filling
• Microscopic Model for Fractional Quantum Hall Nematics
• Particle-hole symmetry for composite fermions: An emergent symmetry in the fractional quantum Hall effect
• Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect