Composite Fermions and the Fermion-Chern-Simons Theory
Bertrand I. Halperin

TL;DR
This paper reviews the Fermion-Chern-Simons theory and composite fermions, highlighting its successes and limitations in explaining quantum Hall systems with partially filled Landau levels.
Contribution
It provides a comprehensive review of the Fermion-Chern-Simons theory's applications, achievements, and unresolved issues in quantum Hall physics.
Findings
Successful explanation of quantum Hall phenomena
Identification of limitations in the current theory
Discussion of open problems and future directions
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.
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