Alternative Derivation of the Mean-Field Equations for Composite Fermions

EDMUNDO C. MANAVELLA; C.E. REPETTO

Journal of Modern Physics

SCIRP - Scientific Research Publishing, Inc.

Año: 2015 vol. 6 p. 1737 - 1742

2153-1196

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.