Composite Fermions and the Fermion-Chern-Simons Theory

Abstract

The concept of composite fermions, and the related Fermion-Chern-Simons theory, have been powerful tools for understanding quantum Hall systems with a partially full lowest Landau level. We shall review some of the successes of the Fermion-Chern-Simons theory, as well as some limitations and outstanding issues.

13 pages, including 2 figures. Invited talk at International Symposium, Quantum Hall Effect: Past, Present and Future, Stuttgart, July 2003. Proceedings to appear in Physica E

References in corpus (4)

• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Excitation gaps in fractional quantum Hall states: An exact diagonalization study
• Mesoscopic fluctuations of the Coulomb drag at $\nu$=1/2
• Theory of the Quantum Hall Smectic Phase II: Microscopic Theory

Cited by in corpus (5)

• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry
• A note contrasting two microscopic theories of the fractional quantum Hall effect
• Exploring the nature of the emergent gauge field in composite-fermion metals: A large-scale microscopic study
• Effective mass of the composite fermions and energy gaps of quantum Hall states