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.