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Lopez, A. and Fradkin, E. (2003) Fermionic Chern-Simons Field Theory for the Fractional Hall Effect. In: Heinonen, O., Ed., Composite Fermions, World Scientific, Singapore.

has been cited by the following article:

• TITLE: Alternative Derivation of the Mean-Field Equations for Composite Fermions

  AUTHORS: Edmundo C. Manavella, Carlos E. Repetto

  KEYWORDS: Quantum Field Theory, Field Theories in Dimensions Other than Four, Chern-Simons Gauge Theory, Lagrangian and Hamiltonian Formalisms

  JOURNAL NAME: Journal of Modern Physics, Vol.6 No.12, September 30, 2015

  ABSTRACT: The Hamiltonian describing a composite fermion system is usually presented in a phenomenological way. By using a classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of electrons, we show how to obtain the mean-field Hamiltonian describing composite fermions in 2 + 1 dimensions. In order to achieve this goal, the Dirac Hamiltonian formalism for constrained systems is used. Furthermore, we compare these results with the ones corresponding to the inclusion of a topological mass term for the electromagnetic field in the Lagrangian.