Path Integral for Composite Fermions in the Half-Filled Lowest Landau Level

Details Path Integral for Composite Fermions in the Half-Filled Lowest Landau Level Path Integral for Composite Fermions in the Half-Filled Lowest Landau Level

1998-10-21

arxiv.org/abs/cond-mat/9810273v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

We consider electrons in two dimensions in a strong magnetic field at half filling of the lowest Landau level using the Chern-Simons approach. Starting from a lattice Hamiltonian for the electrons, we derive a path integral (PI) formulation for the composite fermions (CF) which respects the order of the operators. We use a time lattice with intermediate times in order to have a PI expressed in density fluctuations. This formulation reveals that there is no infrared (IR) singularity in the grand-canonical potential in lowest order perturbation theory.

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